Alice bob charlie math problem. Bob: Alice is telling the truth.

Alice bob charlie math problem Imagine a small group of 4 people: Alice, Bob, Charlie, and Dave. Alice bids A rupees, Bob bids B rupees, and Charlie bids C rupees (where A, B, and C are distinct). Charlie is injured and he accompanies them in a two-seater car which travels at c miles per hour. Alice and Bob are fictional characters originally invented to make research in cryptology easier to understand. Bob's favorite color is green. Jun 28, 2023 · The problem statement is-Eve is a beginner stand-up comedian. " Charlie then remarked, "Actually the nearest town is at most miles away. If Alice measures her qubit to be in the state ∣1 , what is the probability that Bob and Charlie will find their qubits to be in the state ∣0 ? 1 1/3 2/3 13 Bob would like to establish a secure way to send messages to Alice, so first Bob finds a large prime number I'm a human volunteer content transcriber and you could be too! If you'd like more information on what we do and why we do it, click here! Jul 10, 2020 · A pet store has 15 puppies, 6 kittens, and 8 hamsters. Each year, Alice tells 5 jokes, Bob tells 3, and Charlie tells 2 (and one tells different jokes). If Bob is unmarried, then Alice is a married person looking at an unmarried Bob. Alice and Charlie can complete the same job in 3 hours. For the given problem Alice (A), Bob (B), and Charlie (C) are three inertial observers they all witness the same event , a small car of mass m = 2000 kg and a large truck M = 4000 kg collide and stick together i. Alice, Bob, and Charlie are deciding if they will attend a barbeque party. "Alice and Bob can complete a job in 2 hours. Suggest how they can securely share a secret so that it can only be opened by: Alice and any one other person Any three people Describe in detail how the sharing algorithm works and how the reconstruction works (for all authorized sets of users). Now Alice, Bob, and Charlie make the following statements: Alice: Bob is telling the truth. If the problem requires the involvement of more than two parties, then Charlie and Donna may be introduced. for the sequence THHHT Alice gets 2 points and Bob gets 1 point. Rationality and completeness of preferences Alice, Bob, and Charlie have different preferences over cars. Alice's favorite color is blue. Figure 1: An example demonstrating the application of MathVC, where students are presented a math problem (optionally with accompanied data) and engage in effective discussions on math modeling. Construct a call graph for six friends Alice, Bob, Charlie, Diane, Evan and Frank, if there were two calls from Alice to Bob, three calls from Alice to Diane, four calls from Alice to Evan, two calls from Bob to Alice, one call from Charlie to Alice, one call from Charlie to Evan, two calls from Diane to Charlie, three calls from Evan to Diane, three calls from Diane Dave to Frank, one call Question: 1. Two students, Alice and Bob, are enrolled in a statistics course. Bob: Alice is telling the truth or Question: Alice, Bob and Charlie each puts $1 on the table and tosses a fair coin once. Alice has apples. Charlie picks piece B. Alice, Bob and Charlie is different from Charlie, Bob and Alice (insert your friends’ names here). How long will it take for all three of them to do it? It happens to tie in with something else I'm working on, so Almost everyone who didn't behave like a good pupil gave Alice and Bob the job. What does your (a) say? Either Alice is in the room and Bob isn't or (vice versa) Alice is isn't in the room and Bob is. However, this contradicts Donna’s statement. Alice, Bob, and Charlie 3 3 3 We use the three names as “placeholders” following the conversion in science and engineering literature (Wikipedia, n Dec 23, 2019 · Then Bob and Charlie are liars. Alice likes Bob and Charlie, so if they're both attending, she will flip a fair coin three times and she will attend if she gets at least one heads. As a Basic Math includes problems on topics like arithmetic, sequences, and counting, which are fundamental to proper understanding of algorithmic logic. Alice and Bob are bored and decide to play a game. Both gardens receive the same amount of water, sunlight, and care. Nov 7, 2014 · One more guessing game! Alice, Bob and Charlie go to a fair. Alice, Bob, and Charlie are contributing to buy a Netflix subscription. Combinations, on the other hand, are pretty easy going. Generalization. Alice, Bob and Charlie are bidding for an artifact at an auction. Charlie has arranged a blind date for Alice and Bob, who are both cryptographers, and they do not know each other before. Please describe how Bob can ask Alice to securely prove that she is Alice (Alice will not reveal the secret number K to anybody). Each friend i has a private valuation of the form vi(x)=aix−x3/36 for a TV of size x, where i∈{A,B,C} (a) Use the VCG mechanism to decide which size of the TV should be May 12, 2014 · Alice, Bob and Charlie go out on a trek. Charlie is directly opposite Bob. Everyone has a demand each: Alice wants the temperature to be at least A degrees. Alice, Bob, Charlie and Danielle teatricte en Fal is making sure they follow the rules. Hence-fort, Bob tells the truth (since Donna is liar) and so Alice is also liar. Alice, Bob, and Charlie find a number A A A. It is not known whether the random process that selects Question: Suppose there are 5 people on a committee: Alice (president), Bob, Charlie, David, Eve. Alice is next to Carla, and Derek is also next to Eric. The problem goes like this: Alice, Bob and Carol each think of expressionthat is a fraction with 1 as a numerator and a constant integer times some power of x as the denominator. Alice, Bob, and Charlie are math teachers who steal their jokes from a jokebook that contains 10 jokes. Bob can juggle. Then they all compute L = ∮ C (x, y) ⋅ t ^ d s The curve C is different for each player, but starts at the origin and ends at (a, b)! Math; Other Math; Other Math questions and answers; Construct a call graph for five friends Alice, Bob, Charlie, Diane and Evan, if there were three calls from Alice to Bob, two calls from Alice to Diane, five calls from Alice to Evan, one call from Bob to Alice, three calls from Charlie to Alice, one call from Charlie to Evan, one call from Diane to Charlie, and one call from Evan to Diane. Bob : It was Diane. Bob picks a booth where he has a probability of 0. One of the rules Anyone who was tamil Amonpt Alice, Bol, Charlie, and Daniel, whom mot El check whether they had better in the extra mile, (whichever is not gi) (a) Alice who use (1) Bob who has not bad det (c) Charlie who do not run the extra milel (d) Danielle who all the extra miley 2. Conclusion: Alice is less than 2 meters tall. Who is telling the truth and who is lying on this occasion. The details don’t matter. Bob wants to make sure that the person he is dating is actually_Alice, not somebody else. Additional premise: Alice is less than 2 meters tall. /plurality Alice Bob Charlie Number of voters: 5 Vote: Alice Vote: Charlie Vote: Bob Vote: Bob Vote: Alice Alice Bob Well, in this case, the order we pick people doesn’t matter. Given that Alice, Bob, and Charlie have A,B, and C rupees respectively and a Netflix subscription costs X rupees, find whether any two of them can contribute to buy a subscription. Because they are in a rush and the light is fading they must cross in the minimum time possible and must carry a torch (flashlight,) on each crossing. Alice calculates the ciphertext using Bob’s public key: Alice sends the ciphertext to Bob. Hey all, please help me wrap my mind around something: Alice,Bob and Charlie decide to play a coin flip game. But Alice wants to send a confidential message to Bob and doesn't want Charlie to be able to read it. Conclusion: Alice can juggle. Jun 8, 2022 · Alice is looking at Bob, and Bob is looking at Charlie. - Since Alice is in the set D, and according to the statement, if P(Alice) is true, then Q(Alice) must also be true. Question: Alice, Bob and Charlie each puts $1 on the table and tosses a fair coin once. Who is in the middle? Output: Bob is in the middle. Adam, Bob, Clair and Dave are out walking: They come to rickety old wooden bridge. e. Alice Bob Charlie = Charlie Bob Alice. Which means that in 1 hour, they can finish Oct 28, 2024 · Alice encrypts the message using Bob’s public key: Alice converts her message to a number such that . Then the statement that there is one truth-teller between Alice and Charlie is wrong. Define the graph in (a). Consider the following events: A: The magnitude of the sum of the two numbers is greater Problem. In other words, (a) comes to Exactly one of Alice and Bob is in the room. With permutations, every little detail matters. Math. In principle, Charlie and Daniela should be able to measure the spin of the same particles, say, in the Can you solve this real interview question? Check if a String Is an Acronym of Words - Given an array of strings words and a string s, determine if s is an acronym of words. 2. Math; Other Math; Other Math questions and answers; Q1. Is a married person looking at an unmarried person? A. Which one(s) have complete preferences? Which one(s) have rational preferences? Is there any case where you don’t have enough information to answer？ a. Alice's preference over rooms is 1 > 2> 3 (she likes room 1 the most, then room 2, then room 3). Alice likes numbers which are even, and are a multiple of 7. Bob is not first. Bob wants the temperature to be at most B degrees. Alice is married, Charlie is not. Sep 2, 2018 · I tried to figure it out by assuming three condition: Alice is telling truth, Bob is telling truth, and Charlie is telling truth, and i used truth table too and assume for false-truth combination, but i still cant solve this problem or find who is the lier. Their combined age is 18 years. Within a few years, however, references to Alice and Bob in cryptological literature became a common trope. Bob and Charlie can do the same job in 4 hours. Jan 6, 2020 · A pet store has 15 puppies, 6 kittens, and 8 hamsters. May 22, 2023 · Viewing Alice and Bob and their labs from the outside are Charlie and Daniela, respectively. Charlie : It was not me. How long will the job take if Alice, Bob, and Charlie work together? Assume each person works at a constant rate, whether working alone or working with others. Alice Bob Charlie Diane Alice, Bob, Charlie, and Diane are playing together when one of them breaks a precious vase. (8 marks) Alice, Bob and Charlie are either knights or knaves. Conclusion: Alice is at least 2 meters tall. The number of eggs each player has at the start determines the outcome. The games depend only on chance, so the number of points the player will win is a random variable. In an online auction, suppose Alice, Bob, Charlie. The simplest common denominator Bob's and Carol's expressions is Answer to A man is hiking with his three children, Alice, Bob, and Charlie, Alice and Bob can complete a job in 2 hours. So I believe they are both independent cases and i feel it's a 50/50 that Alice is older than Charlie. Each correct guess awards 1 point. The three friends liked challenging each other with puzzles all the time (in fact, sometimes they solved Sudoku problems that were REALLY A middle/high school math test in Singapore had this curious problem (re-phrased): Bob and Craig just became friends with Alice, and they want to know when her birthday is. Diane : What Bob says is wrong. However, Netfix allows only two users to share a subscription. Alice and Bob are going to be incarcerated separately. The players alternate taking turns and add 1 or 2 (to their liking) to the number that the previous player has given. ). 5 (638 reviews) Feb 4, 2024 · Problem 1. The bridge is weak and only able to carry the weight of two of them at a time. Lastly, Charlie tells the truth as Alice is liar. We assume a uniform probability law under which the probability law under which the probability of an event is proportional to its area. 25. Charlie: Alice is a knight. Question: Question 3 (20%) Construct a call graph for five friends Alice, Bob, Charlie, Diane and Evan, if there were three calls from Alice to Bob, two calls from Alice to Diane, five calls from Alice to Evan, one call from Bob to Alice, three calls from Charlie to Alice, one call from Charlie to Evan, one cal from Diane to Charlie, and one call from Evan to Diane. Throughout the semester, they've been working on homework assignments. In the second test case, any division will be unfair. Who is sitting opposite Charlie? A: Alice B: Bob C: Charlie D: Diana E: No one Jun 12, 2016 · While each problem is missing information, the answers can be deduced by considering all possibilities. They are sat in a row, as illustrated above. According to the rules of the auction, the person who bids the highest amount will win the auction. If all three coin-tosses have the same result, they keep tossing until a winner emerges, putting in an extra $1 for each additional round of tossing. Alice is next to Bob, and Derek is also next to Eric. How many years can they go, never telling the same three sets of jokes? c) Find the constant term in the expansion ofi0 5. You "win" if you have at least 1 more correct guess than not. Alice, Bob, and Charlie each want to buy a pet. Which of the following is closest to the airplane's altitude, in miles?. The one whose toss is different from the other two wins and collects the money. Question: (3) Alice, Bob and Charlie rent an apartment with 3 rooms. Additional premise: Alice cannot juggle. If both players play with May 20, 2022 · It takes Alice and Bob 2 hours to do a task; Alice and Charlie 3 hours; and Bob and Charlie 4 hours. How many ways can they line up for lunch? Question 4 of the Numbers and Operations Practice Test for the Math Basics Question: Construct a call graph for five friends Alice, Bob, Charlie, Diane, and Evan, if there were three calls from Alice to Bob, two calls from Alice to Diane, five calls from Alice to Evan, one call from Bob to Alice, three calls from Charlie to Alice, one call from Charlie to Evan, one call from Diane to Charlie, and one call from Evan to Diane. Charlie: Alice and Bob are both telling the truth. They decide the game is gonna be 101 coin flips. In each round, x i will be equal to 1, if i-th citizen prefers the first candidate to second in this round, and 0 otherwise. They lead to seven benchmark targets of future cosmic microwave background missions looking for primordial gravitational waves from inflation. Alice is less than 2 meters tall. 13 If Alice measures her qubit to be in the state (1), what is the probability that Bob and Charlie will find their qubits to be in the state (0)? 1 1/3 O O 2/3 O 1/3 Select ALL that apply. Alice knows the game is rigged, and Heads has 70% and tails 30%. Question:-Alice and Bob can complete a job in 2 hours. If Alice likes A A A, Alice takes home the number. Furthermore, Alice and Bob will fight if left unsupervised (i. In the third test case, both Alice and Bob can take two candies, one of weight $$$1$$$ and one of weight $$$2$$$. The key rule of a function is that no single input should map to multiple outputs. When one person \announces" something, it is heard by the other two people and also by Eve. That way you pay four hours labour, but with Alice, Bob, and Charlie are standing in a line. (10 Bonus Points) Alice, Bob, Charlie, David, and Eve are friends trying to decide whether to go skiing or study next weekend. The rooms are different from one another (say, one is larger, one has attached bathroom, etc. Cryptographers would often begin their academic papers with reference to Alice and Bob. Charlie: Alice is lying. 2 to win. They all know who broke the vase. Alice's preferences over rooms is 1 2 3 (she likes room 1 the most, than room 2, than room 3). Suppose Bob is a liar. May 11, 2020 · In other words, Alice cannot send a direct message to Bob without Charlie receiving it as well. How many ways can Alice, Bob, and Charlie buy pets and leave Here, we have seven-qubits, a party including Alice, Bob, Charlie, Daisy, Emma, Fred and George. Bob and Charlie can complete the same job in 4 hours. In a now-famous paper (“A method for obtaining digital signatures and public-key cryptosystems”), authors Ron Rivest, Adi Shamir, and Leonard Adleman described exchanges between a sender and receiver of information as follows: “For our scenarios we suppose that A and Math; Statistics and Probability Our expert help has broken down your problem into an easy-to-learn solution you can count on. Charlie picks a booth where he has a probability of 0. If the factory operates for 51 hours, how many cars will be produced in total? Alice can complete a project in 14 days, while Bob can complete the same project in 13 days. Charlie also gave Alice and Bob a secret number K (nobody else knows K). Alice and Bob are good hikers and they move at a rate of p miles per hour. Feb 14, 2012 · Andy is 100 feet from Bob and Bob is 300 feet from Charlie and they are all facing the same direction on the same line. When Alice said, "We are at least miles away," Bob replied, "We are at most miles away. 1. Charlie is older than Bob. Eve prepared a1+a2+a3+a4 jokes to tell, grouped by their type: type 1: both Alice and Bob like them; type 2: Alice likes them, but Bob doesn't; type 3: Bob likes them, but Alice doesn't; In the question, it is mentioned that Alice is older than Bob but that doesn't give any information between Charlie and Alice right. Alice and Bob - A and B. Alice, Bob, and Charlie were on a hike and were wondering how far away the nearest town was. This duo originally started out in 1978 as a standardized way to explain cryptography. P(Alice) is not given to be true, So, Q(Alice) is not 2 meters tall. They go to a stall where there is a machine that displays numbers from 1 to 9 at random, one after other, for the sole reason that this puzzle can be framed and posted to brainden. , (2004). Math; Statistics and Probability; Statistics and Probability questions and answers; Suppose Alice, Bob, and Charlie each play a carnival game that rewards players with points to redeem for prizes. Alice is not last. They need to decide on the temperature to set on the air conditioner. What do we know? We know that a certain job can be done by different combinations of people (A, B, C) in different times. (a) Find the probability that Oct 13, 2016 · Everyone is happy: Alice because she got to choose first, Charlie because he gets a slice he likes better than Bob’s (and he didn’t care how much Alice took), and Bob because the three slices Question: Problem 4. But that isn't what Either Alice or Bob is not in the room strictly speaking says. Despite Math being a favorite for multiple students, each student only has one favorite subject. For the first problem, Bob is either married or unmarried. The problem is to find a sequence of crossings that gets the entire family from one side of the bridge to the other. If all three coin-tosses havethe same result, they keep tossing until a winner emerges, putting in an extra $1 for eachadditional round of tossing. Vote: Alice Alice If there are multiple candidates with a same number of votes program should print out 2 names: $ . Often, students translate the names and the numbers into an Feb 6, 2024 · ALice, Bob, and Charlie are one of each type: a truth-teller (always tell a truth), a liar (always lies), and a spy (can lie or tell a truth). (They work at a constant rate) So how long it will take if three work together?? Seems simple right? May 14, 2023 · First, we'll break down the problem and explain the rules you need to apply to solve it. 1 Bob's preference is 2 > 13, and Charlie's is 2 > 3 > 1. The first player who says the number ”n” wins. Cannot Be Determined. Bob: Alice is a knave. The one whosetoss is different from the other two wins and collects the money. Alice picks a booth where she has a probability of 0. Who is most likely to win? Answer a) Construct a call graph for five friends Alice, Bob, Charlie, Diane and Evan, if there were four calls from Alice to Bob, three calls from Alice to Diane, five calls from Alice to Evan, two call from Bob to Alice, one calls from Charlie to Alice, one call from Charlie to Evan, two calls from Diane to Charlie, two calls from Evan to Diane, one When the interaction between two hypothetical characters is needed to explain or describe some system, they are nearly always called Alice and Bob. Her first show gathered a grand total of two spectators: Alice and Bob. (a) Find the probability that at Alice is next to Carla, and Alice is also next to Bob. After this, y = f(x 1, x 2, , x n) will be calculated. Over time, this Metasyntactic Variable duo has been adopted in explanations of mathematics, physics, quantum effects, and other arcane Engaging math books and online learning for students ages 6-13 . For instance, Michael Rabin began his 1981 paper, "Bob and Alice each have a secret, SB and SA, respectively, which they want to exchange. Alice says she is not a truth teller; Bob says he is not a spy; and Charlie says he is not a liar. Charlie does not care who is attending, so he will flip a fair coin once and attend if he sees a tails. Problem #1. Alice, Bob, and Charlie each In most cryptography textbooks, communications are presented as being between Alice and Bob and must be secured from a third-party interloper named Eve (for Eavesdropper, of course!). This is a contradiction, so the initial supposition is false, so Alice told the truth. Aug 13, 2017 · Interesting that adding Charlie to the mix of Alice and Bob only speeds things up by 9 minutes. , if the father is on one side of the bridge with Alice and Bob on the other), and Bob and Charlie will also fight if left unsupervised. How many ways can Alice, Bob, and Charlie buy pets and leave the store satisfied? Charlie's factory produces 109 houses per hour. C. Synopsis. Problem #1: Garden Growth Experiment Two neighbors, Alice and Bob, decide to test different fertilizers for their respective vegetable gardens. Knights always tell the truth, while knaves always lie. Alice, Bob and Charlie is the same as Charlie, Bob and Alice. Assume the three friends play independently. /runoff Alice Bob Charlie Number of voters: 5 Rank 1: Alice Rank 2: Bob Rank 3: Charlie Rank 1: Alice Rank 2: Charlie Rank 3: Bob Rank 1: Bob Rank 2: Charlie Rank 3: Alice Rank 1: Bob Rank 2: Alice Rank 3: Charlie Rank 1: Charlie Rank 2: Alice Rank 3: Bob Alice Background You already know about plurality elections, which follow a very simple algorithm 1. Question: . Problem 5. Alice likes Bob and Charlie SO if they re both attending; she will flip fair coin three times and she will attend if she gets at least one heads_ Charlie does not care who is attending; SO he will flip a fair coin once and attend if he sees tails Bob is very popular and is also invited to a pool party at the same time. Alice has been actively seeking assis- tance from the Teaching Assistant (TA), while Bob has chosen to tackle the assignments independently. 7. This raises and interesting point — we’ve got some redundancies here. Additional premise: Alice can juggle. g. We assume a uniform probability law under which the probability of an event is proportional to its area. " Charlie then remarked, "Actually the nearest town is at most 4 miles away. Problem 1: There are two native islanders, named Alice and Bob, standing next to each other. The simplest common denominator of Alice's and Bob's expressions is 4x2. If we assign the subarray ($$$1$$$,$$$1$$$) to Alice, its total value to her is $$$5$$$, which is $$$\ge 3$$$; the subarray ($$$2$$$,$$$3$$$) to Bob, its total value to him is $$$1 + 5 = 6$$$, which is $$$\ge 3$$$; and the subarray ($$$4$$$,$$$5$$$) to Charlie, its total value to him $$$1 + 5 = 6$$$, which is also $$$\ge 3$$$. Bob: Charlie is lying. Oct 29, 2020 · According to the Talwalkar, college students presented with this problem often run into trouble when setting up a proper equation. Alice and Bob are 8 m apart on the same side of the canal. Nov 28, 2009 · Alice and Bob each choose at random a number between zero and one. Bob: Alice is telling the truth. Feb 12, 2023 · a. Dec 20, 2017 · Alice, Bob, and Charlie loved to solve Sudoku problems. The answer Hey all, please help me wrap my mind around something: Alice,Bob and Charlie decide to play a coin flip game. Moshkovitz, and S. Oct 19, 2023 · Alice, Bob, and Charlie are deciding if they will attend barbeque party. Finally, we count the cases where all three of these are true: We add up the cases where one Furthermore, Alice and Bob will fight if left unsupervised (i. Either way, they’re going to be equally disappointed. 📈 But Alice, Bob, and Charlie make the following statements: Alice: Bob is lying. There are two ways to rearrange Alice, Bob, and Carla so that this is true: BAC and CAB. N. Alice, Bob and Charlie are one of each type: a truth-teller (always tells truth), a liar (always lies) and a spy (can lie or tell the truth). Oct 21, 2023 · Then, Alice is a liar (according to Donna’s statement) so Bob must tell the truth (since Alice is liar). One day Alice looks due north from her house and sees an airplane. What type is Charlie? A) Truth-teller B) Liar C) Spy D) There is not enough information. Explanation: If Alice is not last and Bob is not first, the only possible arrangement is: Charlie, Bob, Alice. Before going to the dating, he got a copy of Alice's public key from Charlie. If both Alice and Bob don't like the number, Charlie takes it home. /runoff Alice Bob Charlie Number of voters: 5 Rank 1: Following the method of the last problem, here we receive a distribution code with the everything but the functions already working Three rounds will be run between each pair of candidates: Alice and Bob, Bob and Charlie, Charlie and Alice. In an online auction, suppose Alice, Bob, Charlie are bidders for an antique. Suddenly, Alice says \At least one of us is a Knave. Question: Suppose the three qubits held by Alice, Bob, and Charlie are in a quantum state 31[∣001 +∣010 +∣100 ]. Nov 6, 2023 · Discrete mathematics 5. " It turned out that none of the three statements were true. Mar 15, 2005 · This is my first year at studying physics and I understand th econcepts however I am having trouble applying these concepts to "problem questions". Construct (Draw a call graph for five friends Alice, Bob, Charlie, Diane, and Evan, if there were three calls from Alice to Bob, two calls from Alice to Diane, and five calls from Alice to Evan. Here's why: Alice wont take a math class with Bob, Bob wont take a math class with Charlie, Charlie won't take a math class with David, David will not take a math class with Edward and Edward will not take a math class with Alice. If Bob isn't required to pick the piece he cut (if it's an option), then he could easily pick piece C and leave Alice with the half-portion. When Alice said, "We are at least 6 miles away," Bob replied, "We are at most 5 miles away. For variety, they each want a different kind of pet. Then they all compute L = ∮ C (x, y) ⋅ t ^ d s The curve C is different for each player, but starts at the origin and ends at (a, b)! Sep 13, 2019 · Alice, Bob, and Carol each think of an expression that is a fraction with 1 as a numerator and a constant integer times some power of x as the denominator. Each friend i has a private valuation of the form vi(x) = aix − x3/36 for a TV of size x, where i ∈ {A,B,C} (a) Use the VCG mechanism to decide which size of the TV should be bought. Alice and Bob live miles apart. If Bob is married, then he is a married person looking at an unmarried Charlie. You'll see that each line (handshake) is unique, and the total number of lines is given by our formula. In a similar way the number of seatings of Bob and Cindy is $(n-1)(n-2)$ and the number of ways that would mean Bob is sitting next to Alice is $2(n-2)$ and the same for Cindy, but you would then count the cases where both are sitting next to Alice which is in two ways. Draw lines connecting each pair to represent a handshake. Suppose there are 5 people on a committee: Alice (president), Bob, Charlie, David, Eve. Coin Flipping Problem Flip a fair coin 100 times—it gives a sequence of heads (H) and tails (T). Question: H1. Answer to Q1. Everyday at 12h, prison guard Charles meets Alice and prison guard Daniel meets Bob. /plurality Alice Bob Number of voters: 3 Vote: Alice Vote: Charlie Invalid vote. Safra Oct 16, 2020 · . Alice And Charlie can complete the same job in 3 hours. Dave's favorite color is yellow. At first Alice hikes while Charlie and Bob go ahead in the car. It follows, that there is at least one truth-teller between Bob and Charlie. Each statement is either true or false. Alice uses a conventional fertilizer (Fertilizer A), and Bob uses an organic fertilizer (Fertilizer B). So, it is not valid to conclude that Alice is less than 2 meters tall. For example, "ab" can be formed from ["apple", "banana"], but it can't be formed Mar 22, 2024 · I saw this interesting math problem from a coworker and decided to make a post discussing the computation. Assuming the job is 24 units of output, Alice can do 7 units per hour, Bob can do 5, and Charlie can only do 1. Four friends (Alice, Bob, Charlie, and Dave) are sitting around a table, each wearing a different colored hat (red, blue, green, and yellow). At the same time Bob looks due west from his house and sees the same airplane. Jan 23, 2021 · A pet store has 15 puppies, 6 kittens, and 8 hamsters. Charlie wants the temperature to be at least C degrees. 🔍 Then, we'll guide you through each step of the solution with clear, easy-to-follow instructions. Alice can see Bob’s and Charlie’s hats, but not her own; Bob can see only Charlie’s hat; Charlie can see none of the hats. Octonions and Hamming error-correcting codes are at the base of these models. Alice: I am a knight, and Charlie is a knave. The direction of Charlie from Alice makes an angle of 41 ° 41 ° with the side of the canal. 8 to win. Alon, D. Feb 14, 2020 · A simple math problem that has a tricky solution . Yes. You do not know what type either of them is. Oct 17, 2023 · And it is. If instead the game had started with Alice having 1 egg, Bob having 4 and Charlie having 3, it would have ended in a draw. Alice does not like hamsters. Therefore, our assumption is wrong and Donna is a liar. They now make the following statements: Alice: Bob and Charlie are both lying. Alice maps to Math, and Bob maps to Science, while Charlie also maps to Math. Problem 2 (A) Alice & Bob (B) Alice & Charlie (C) Alice & Donna (D) Bob & Donna (E) Charlie & Donna Problem 5. As punishment, they will be trapped in a 3D maze-like prison made of rooms connected with narrow (one-person-wide) corridors, and furthermore, each person will be forced to walk along some non-self-intersecting loop through multiple rooms, around and around forever. By symmetry, everyone told the truth. Alice’s age is equal to twice the difference between Bob’s and Charlie’s ages. 4 to win. Charlie's favorite color is red. asked • 06/04/18 Alice and Bob do a job in 2 hours. Charlie is sitting to the left of Bob. I just have a minor question about this word problem. Optional. Alice says she is not a truth-teller; Bob says he is not a spy; and Charlie says he is not a liar. Based on their statements below, find what Alice, Bob and Charlie are. They devise a scheme to share the car. Alice and Bob are going to be locked away separately and their faith depends on their guessing random coin tosses! Photo by Mark Normand from FreeImages Problem statement. When questioned they make the following statements: Alice : It was Bob. Bob's preference is 2 >1 > 3, and Charlie's is 2 > 3 1. Alice and Charlie can do the same job in 3 hours. Problem. Decryption (What Bob Does) Bob decrypts Alice’s ciphertext using his private key: Bob computes the original message by applying his private key: アリスとボブ（英: Alice and Bob ）は、暗号通信などの分野で、プロトコル等を説明する際に想定上の当事者として登場する典型的なキャラクター。 "当事者 A が当事者 B に情報を送信するとして"のような説明文では、段階の増えた体系になるにつれ追いにくく Jun 4, 2018 · Nate L. Hence, Alice is a liar. How long will the job take if Alice, Bob, and Charlie work together?" Aug 1, 2024 · Alice, Bob, and Charlie committed tax evasion. If I give a can to Alice, Bob and then Charlie, it’s the same as giving to Charlie, Alice and then Bob. Math; Statistics and Probability; Statistics and Probability questions and answers; Problem 1: Alice and Bob each choose at random real-valued numbers A and B (respectively) from the continuous interval [0,3]. But my professor is using the combinations with Alice, Bob and Charlie. Alice, Bob, and Charlie play an awesome math game! They all throw a dart at the x y plane and record where they landed as (a, b). No one is wearing a hat that matches their favorite color. The handshake problem is a specific case of a more general problem in combinatorics. And it is. The angle of elevation of the airplane is from Alice's position and from Bob's position. Charlie: 1 + 1 = 2. TV's are available in all sizes (size is the diagonal length of the display in inches). For each HH in the sequence of flips, Alice gets a point; for each HT, Bob does, so e. Hello, I'm following along the "The art of Problem solving: Introduction to Algebra" book. Question: Three friends Alice(A), Bob(B), and Charlie(C) are planning to buy a TV. Scheduling classes (a) A math professor is in a bind to offer an introductory math class to a set of students. Bob wants to make sure that the person he is dating is actually Alice, not somebody else. Suggest how they can securely share a secret so that it can only be opened by: - Alice and any one other person - Any three people Describe in detail how the sharing algorithm works and how the reconstruction works (for all authorized sets of users). Three friends Alice(A), Bob(B), and Charlie(C) are planning to buy a TV. Alice Bob Knight Knight Knight Knave Knave Knight Charlie also gave Alice and Bob a secret number K (nobody else knows K). In 6 minutes, Andy reaches Bob, and in another 6 minutes, Andy reaches Charlie. Seems impossible with these strict rules, right? The beautiful thing that this problem is solved in 1976 by Whitfield Diffie and Martin Hellman. (4) Alice, Bob and Charlie rent an apartment with 3 rooms. For instance, we're told that with A and B working together, they can finish the job in 2 hours. The string s is considered an acronym of words if it can be formed by concatenating the first character of each string in words in order. How many minutes will it take for Bob to reach Charlie? Alice, Bob, and Charlie were on a hike and were wondering how far away the nearest town was. Alice is sitting opposite Bob. How many ways can Alice, Bob, and Charlie buy pets and leave the store satisfied? Jul 5, 2023 · $ . Alice, Bob, and Charlie were on a hike and were wondering how far away the nearest Science; Advanced Physics; Advanced Physics questions and answers; 1 Suppose the three qubits held by Alice, Bob, and Charlie are in a quantum state [1001) + 1010)+|100)]. If Bob likes A A A, Bob takes home the number. Bob likes numbers which are odd, and are a multiple of 9. 4. They all begin to move in the same direction that they are facing at relative constant speeds. Alice gives them a list of 10 possible dates: January 8 January 10 January 13 March 4 March 13 July 16 July 20 November 4 November 10 November 16 There are three people sitting in a room - Alice, Bob, and Charlie. In this situation Bob’s statement is true, which is a contradiction. Three-Party Key Agreement (60 points) In this problem, three people (Alice, Bob, and Charlie) want to agree on a single secret key k that will be known to all three of them but unknown to Eve. Alice’s father suggests that they have a five-game tournament, with a £30 prize for person who wins the last game; if the result is a draw, Practice Test Question #4: Alice, Bob, Charlie, Dave, and Edgar are in the same lunch group. Who is telling the truth? Who is lying? Explain your answer. Alice, Bob and Charlie are well-known expert logicians; they always tell the truth. It follows that Charlie is a liar. This is the basis for the xkcd reference. b. Question: 1. " Jan 26, 2017 · But Bob lying implies that Charlie is lying and Alice is telling the truth. In each of the scenarios below, their father puts a red or blue hat on each of their heads. A 8m B Calculate the width of the canal. Alice, Bob, and Charlie are three siblings with ages a, b, and c respectively. But Bob is an asshole, so he cuts piece A in half. Additional premise: Alice is at least 2 meters tall. In the first test case, Alice and Bob can each take one candy, then both will have a total weight of $$$1$$$. In how many ways can she share them with Becky and Chris so that each of the three people has at least two apples? ~Math-X Video Jun 5, 2018 · ~~111 " minutes" When working problems of this type, the key is in the set up and the trick is in working it out in "per hour" units. This is a question I urgently need help with: Lice, Bob, Charlie & Daniel are standing on the edge of a canyon which is 100m deep & 20m wide. B. Q50: (1 mark) Alice, Bob, Charlie, and Diana are playing cards, two people on either side of the table. Bob’s age is equal the average of Alice’s and Charlie’s ages. I'm attempting to solve the problems in the 'Challanging problems' section. No. Bob: Alice is telling the truth or Charlie is lying (or both). Question: Problem 4. Suppose Alice cuts the cake from the start in a perfectly equitable way -- as in, all three people would be happy with any given piece. " What are Alice and Bob? Solution: Consider four possible cases, as shown in the four rows of this table. Alice Bob Charlie Charlie Bob Alice (q 1)t is tight Complexity result on a paint shop problem, Discrete Appl. What are the possible numbers of people telling the truth? Explain your answer. metric ratio s The diagram shows the positions A, B and C of Alice C e a worded Bob and Charlie at the side of a canal. Suppose three friends, Alice, Bob, and Charlie, each play a separate carnival game for a prize. bkp wavvu nfnnoksq cktxu otqkii nhnpy wxxg ngsbyot giqg tpvp