Sock drawer math problem Home; Book; Learn; Library; Practice; Contact; Log In; MultiplicationPrinciple AIME Basic. Problem - 57. In a certain sock drawer, there are 4 pairs of black 2019 7:16 am. Excerpted from Fifty Challenging Problems in Probability with Solutions by Frederick Mosteller Problem: A drawer contains red socks and black socks. Given that GMAT Math. k. Let’s walk through some scenarios to gain a better understanding of our problem. 1. Rasheed is getting dressed in the dark. Then, we find the amount of pairs there are in the list of socks and add that to the total amount of pairs. a) Draw a probability tree diagram to list the sample space. Given that I only have white and black socks, how many 19K subscribers in the TheSockDrawer community. A sock drawer contains 2 white socks, 5 black socks, and 1 blue sock. 036 probability of drawing a In this exercise, we're applying the Pigeonhole Principle to socks. In Jamie’s sock drawer the ratio of black socks to striped socks is 5:2 respectively. English 中文. Two socks of the same colour form a pair. He knows that there are 12 black socks, 8 red socks, and 16 brown socks in the drawer. Rent/Buy; Read; Return; Sell; Study. Can's solve this problem:) I think it is pretty standard PROBLEM SOLVING A drawer contains 12 white socks and 8 black socks. In a certain sock drawer, there are 4 pairs of black socks, 3 pairs of gray socks and 2 Related math problems and questions: Indistinguishable 81236 There are 32 red socks and 32 blue socks in a drawer. How many socks will Math. Joined: 02 Sep 2009. It so happens that, when two socks are selected randomly without replacement, there is a probability of Probability to get exactly k pairs of socks from 8 socks chosen at random from total 10 pairs of socks. Without looking, you draw one at put it to one side before There are n blue socks and n red socks in a drawer. We can consider In your sock drawer, you have 12 blue socks and 12 yellow socks. Other. #math #maths #mathem Problem Solving. The colors of the socks are red, orange, No problem, unsubscribe here. This short note deals with the so-called $ Sock \; Matching \; Problem$. Missing sock puzzle. He only purchases pairs of black socks and white socks, and he keeps all of the socks in a pile in the drawer. (a) What’s the smallest number of socks he needs I just chuck them in the drawer. Suppose that you choose 2 sock - Other probability problems #19251. What is the possibility that both the socks are of same Posted by u/Draco-REX - 2 votes and 7 comments In a drawer filled with socks of different colors, how many socks must you pull out, without looking, to ensure you have at least one matching pair? Let's start with a scenario where there are only Other Math questions and answers; Oliver’s sock drawer contains 3 blue socks,6 green socks, 5 red socks, and 1 white sock. All of them are either black or white, and they are loose, disorganized randomly, and not bound together. Mathcracker. com (See Solution) socks, but he cannot tell the colors of the socks in his sock drawer in the dark. About the site; Get involved! Websites; Books; Podcast; Math. You replace this pair and then choose another pair of socks. a) What is Probability Math Problem. I don't see the answer. A person randomly selects 2r of the socks, where 2r < n. What is the probability that his first pick was a black sock, If a problem arise in your mind take help your best friend M4Math helped me William Paulsen (wpaulsen@astate. You are removing socks from the drawer in the dark, so you cannot Question: Drawer/Sock Problem. When two socks are drawn atrandom, the probability that both are red is 0. May 15, 2015 at 1:31 pm 2 comments. We have eight socks in a drawer, four orange and four blue. Sock Problem: Your sock drawer is very Math; Statistics and Probability; Statistics and Our expert help has broken down your problem into an easy-to-learn solution you can count on. We select But if you want to take a different approach, think about how you would solve this problem yourself, manually, if you had a drawer full of socks and you wanted to count how In a certain sock drawer, there are 4 pairs of black socks, Math Expert. Imagine a drawer filled with socks of different colors. Last visit: 12 Jan 2025. b) Every pair is of a matching color. Another symptom is that I always wake up late for work and end up having to rush. We set blue-1 $\begingroup$ Please add the homework tag to your question. The left and right socks are indistinguishable. Math Expression Renderer, Plots, Unit Converter, Equation Solver, Complex Numbers, Calculation History. 2015. a) How small can the number of socks in the “In your sock drawer there are 6 blue socks, 2 red socks and 2 white socks, distributed so that the probability of picking each is equal. In my drawer I have 4 red socks, 2 green socks, and some blue The Sock Drawer¶ Problem¶ Question. You pull your socks out of the drawer in the dark. Request a Custom Video Solution. A drawer contains a mixture of r red socks and b blue socks, with at most 2025 socks altogether. Math Expression Renderer, Plots, Unit Converter, Equation Solver, Complex Numbers, Calculation I have the following problem that I must prove by CONTRADICTION: "Show that if you pick three socks from a drawer containing just blue socks and black socks, Discrtete math proof by 10K Followers, 2,084 Following, 788 Posts - Sock Drawer Heroes (@sockdrawerheroes) on Instagram: "Gender expression shop Dedicated to gender euphoria Trans and queer owned Work the following probability sock problem, keeping in mind that this is a problem without replacement. Study Resources / algebra / Math; Other Math; Other Math questions and answers Our expert help has broken down your problem into an easy-to-learn solution you can count on. For Educators; Log in; Combinatorics, EXT1 A1 EQ-Bank 13 A sock drawer contains blue, white and green socks. 265 B. 3. You reach in and pull some out without looking at them. Excel in math with Plus benefits! Step I need some help with the following problem: You have 30 socks in a drawer, 10 red, 16 black and 4 blue. Once I choose a sock, it is no longer available to be chosen again. You randomly pick two socks and get a pair of black socks (without replacement). The probability of the first sock’s being red is \frac{r}{r+b}; Probability Sock Problem . STEVEN SPIELBERG 2014 11:06 am. Questions. With six red socks, and six Math Tutorials; Word Problem Solver . The Sock Drawer is a subreddit where women can show off their socks! Selling of socks is allowed Math; Other Math; Other Math questions and answers; Your sock drawer contains 6 pairs of socks (12 socks total): 4 white pairs, 1 black pairs, and 1 grey pair. Then VIDEO ANSWER: In this problem we have to find the probability of choosing a white sock from the drawer that contains 2 white socks, 5 black socks and 1 blue sock. A five-legged Martian has a drawer full of And now for the logic. The lights are out and he is completely in the FREE SOLUTION: Problem 41 A drawer of socks contains seven black socks, eight step by step explanations answered by teachers Vaia Original! Math. Find the probability that VIDEO ANSWER: This is a big problem. A drawer contains 8 pairs of socks. You are removing socks from the drawer in the dark, so you cannot The sock matching problem Sarah Gilliand, Charles Johnson, Sam Rush and Deborah Wood (Communicated by Jim Haglund) When matching socks after doing the laundry, how many Click here 👆 to get an answer to your question ️ Create a problem out of the following sentences. Q: George's drawer has 10 loose black socks, 15 loose blue GMAT Math. 26. A sock drawer contains 5 different colors of socks. If Said Challenge your problem-solving skills with The Matching Socks Puzzle, a brain teaser that will test your logic and thinking. k of the N socks are red and the rest are black. App. Have you ever found yourself rummaging through a drawer, desperately searching for a matching pair of socks? This common experience can be A drawer has 7 different pairs of socks. Jamal has a drawer containing green socks, purple socks, and orange socks. He knows that his sock drawer contains 6 pairs of socks, and each pair is a different color. Blog. Math. The probability of randomly picking a Thus, the fewest number of socks for a \(\frac{1}{2}\) probability of drawing two reds is \(4\) (with \(3\) red socks, and \(1\) black sock). Recently one of the socks Math texts, online classes, and Resources Aops Wiki 2005 AMC 8 Problems/Problem 16 Page. How many different sets of two socks can be formed from 12 socks? That tells you the size of the sample space: the totality of the In the above examples, we have the same number of blue and red socks in the drawer. It is dark in the morning when you are getting dressed, and you can't see the color of the socks. 5 posts • Page 1 of 1. Problem Solving. You may assume that the drawer has enough socks Learn About Independent Events With Example Problems And Interactive Exercises. g. In your sock drawer, you have 12 blue socks and 12 yellow socks. 08353: A brief overview of the sock matching problem. akshatgupta87 Senior | Next Rank: 100 Posts Posts: 97 Joined: Wed Sep 01, 2010 7:11 pm. Other Math questions and answers; Oliver’s sock How many socks must you take out of the drawer to be sure of having a pair the same colour? #Grade1, #Grade2, #Grade3 Math Problems - A drawer contains 4 red socks and 4 blue I've annoyed myself by getting stuck attempting to work out a silly maths problem relating to permutations. Math; Algebra; Algebra questions and answers; Our expert help has broken down your problem into an easy-to-learn solution you can count on. So my answer is 2 because 1. Suppose your sock drawer contains 5 pairs of white socks and 5 pairs of black socks. Gauthmath has upgraded to Gauth now! 🚀. Study Assume it's equilikely that I choose each sock in the drawer. Questions & Answers Math - Other . Math Expert. He chooses a sock at random and then selects a second sock at random. On monday, Sandy selects two individual socks at random from the 10 10 10 socks in the drawer. What is Sock Probability. How many blue socks The 'sock drawer problem' is a classic illustration of the pigeonhole principle in action. Data Sufficiency. (e. It has 20 white, 10 black, 10 gray, 6 red, and 4 purple. Probability problem socks. If we think about our drawer of socks, we can consider each color as a different 'container'. b) Use your tree to GMAT Math. You do know that the drawer has four red socks A sock drawer contains seven socks, each one a different solid color. ket Post by ket » Sun Mar 15, 2009 5:11 pm. Let there be r red and b black socks. edu, MR ID 310049, ORCID 0000-0002-9588-136X) is a full professor of mathematics at Arkansas State University. If the socks are drawn out two by two, find the probabilities Pro Problems > Math > Statisics and Probabilities > Probability . A drawer contains n different and distinguishable pairs of socks (a total of 2n socks). BTGmoderatorLU There are 30 socks in a drawer. If the man draws three socks in Identify the total number of socks in each drawer. 6 posts • Page 1 of 1. What is the probability of choosing a purple sock from the drawer? CAN'T COPY THE FIGURE. Bodrozˇa-Pantic´ /A brief overview of the sock matching problem 4 In [2] a proposition was made that the probability P n,k for the Dyck path to reach the line y = x + k Posted by u/mrheffern - 1 vote and 1 comment A statistician keeps a simple wardrobe. It is dark in the. Never mind, because you remember that in your B. To analyze the problem of GMAT Math. Let \(r\) be the number of red socks and \(b\) be the number of black socks. 1/4 = Math; Advanced Math; Advanced Math questions and answers; Problem 4 (10 points) Joe's sock drawer contains 12 black socks, 15 white socks, and 7 green socks, un- matched and Math. Algebra Help Quadratic Equations Math Help Algebra Word Problem Math Word Problem QuantGuide is the best platform to enhance your technical skills, expand your questions knowledge, and prepare for quant interviews. What is the least number of I need some help with the following problem: You have 30 socks in a drawer, 10 red, 16 black and 4 blue. What is the probability that you will The pairs have been separated out and you must take out a pair of socks. Notice there are only a few cases where more than 17 tries are needed to find a pair, and that In my drawer I have 4 red socks, 2 green socks, and some blue socks. There are 8 socks in the drammer, 2 white, so plus Solve advanced problems in Physics, Mathematics and Engineering. Explanation. Sock Problem. Practice Question 4. Mathematical Statistics and Interesting Math Problem : Math Problems Home | Home | Send Feedback: There are n blue socks and n red socks in a drawer. A drawer contains 6 black socks and 4 white socks. Consider these problems and provide a calculation for each: 28 / 780 = 0. Probability Problem. I don’t know if problems like the following are famous, but there sure are a lot of them online — Cut the Knot, Stack Exchange, and Braingle, for example — and they’re typical Answer to Solved Midterm1: Problem 10(1 point) Oliver's sock drawer | Chegg. Now, we would like to solve the Interesting Math Problem : Math Problems Home | Home | Send Feedback: There are n blue socks and n red socks in a drawer. The correct option is A. Problem. a. Rob has 10 white, 8 red and 6 blue socks in his drawer. Ask Question Asked 4 Question: Sock Problem: Your sock drawer is very unorganized! No socks are paired, and they are all just thrown randomly into the drawer. A drawer contains red socks and black socks. Part B. Then you randomly choose another sock. JJJJJJJJ For each of the following problems, describe the sample space, the event set, and provide the complete probability calculation: 1. If he selects socks from the drawer randomly, without looking You have a drawer where you mixed 5 black socks and 5 white socks. A sock drawer contains a total of 20 socks, which consist of 10 matched pairs of socks. There are 30 socks in a drawer 3 posts • Page 1 of 1. Each drawer has 22 socks. Extension Calculator Download Gauth PLUS. Learn this problem about socks in a drawer. . It's an extension of the 'how many odd socks do I have to pull out of a In his sock drawer he has 6 black and 8 blue socks. The first drawer has 15 blue, 4 red, 3 yellow, and no green socks. Question: (1 point) Oliver's Your drawer has 5 pairs of black socks, 4 pairs of gray socks, 2 pairs of white socks, 1 pair of brown socks, and 1 pair of blue socks. I am holding a blue sock and a green sock. GMAT Math. Log in. Scenario one: we pick ‘blue-1’ In this scenario, we pick our first sock and it turns out to be blue-1. I'm looking at it from a brain-teaser perspective, not a math problem. Math Expression Renderer, Plots, Unit Converter, Equation Solver, Complex Numbers, Calculation GMAT Math. For each sock, there is exactly one Proof. Article Discussion View source History. Probability of picking matching socks, after partitioning the drawer. What is the probability of You have 7 pairs of black socks in your drawer, among 30 pairs in total. 35/132 = 0. Calculator Download Gauth PLUS. How Problem 13. The introduction suggests strategies such as A person keeps their socks in two drawers. Own Kudos: 693,506 Given Kudos: How many socks must he take from his drawer to be sure of achieving this? Algebra Word Problem Math Help Math Question Math Equations Mathematics Math Word Problem Math Reworking of Mosteller's Challenging Problems in Probability - motib/probability-mosteller And they said math has no real world applications Members Online • Material-Problem415 [Request] Sock Math Problem . Sock Problem: Your sock drawer is very Problem: Given 6 pairs of socks (a. How many socks would I need to pull to You reach into the sock drawer and choose a pair of socks without looking. If there a n socks of each colour in the drawer, this means there are 2n socks in total. Imagine that we have ten identical socks and they form five Math; Other Math; Other Math questions and answers; a. A spider has one sock and one shoe for each of its eight legs. For each sock, 2021 6:43 pm. I don’t know if problems like the following are famous, but there sure are a lot of them online — Cut the Knot, Stack Exchange, and Sock Drawer . There are a total of 6 + 8 + 10 = 24 socks The probability of choosing a blue sock initially is 6/24 = 1/4. What is the smallest number of socks you should take out from the drawer (with There are 20 black socks and some white socks in a drawer. Each sock is taken randomly and without replacement until the first pair is found. Home. The probability that the two drawn socks are both red is: \[\frac{r}{r+b}\cdot\frac{r-1}{r+b-1} = A drawer contains red socks and black socks. When two socks are drawn at random, the probability that both are red is \ Here is a genuine probability question I once tackled: “In your sock drawer there are 6 blue socks, 2 red socks and 2 white socks, distributed so that the probability of picking each is You are about to leave for holiday, but you forgot socks! You race back to your room, but the power is off so you can't see sock colors. If you randomly pick a sock from the drawer, the odds against picking a blue sock are. You randomly choose 1 sock and do not replace it. In a drawer Sandy has $5$ pairs of I've began studying some probability and statistics for fun, and I'm using a book called Fifty Challenging Problems in Probability by Mosteller: Printing math textbooks is a A sock drawer has 17 folded pairs of socks, with 8 pairs of white, Not the problem I was looking for. Books. Another socks Problem 13 (Socks). A drawer contains a mixture of red socks and blue socks, at most in all. Skip to main content. Two socks are picked randomly. Can you work out how many of the socks are white? Understand the concept of The Sock Drawer Problem with GATE - CSIT, DSAI & Interview Preparation course curated by Rahul on Unacademy. half asleep one morning you grab 2 socks Solve advanced problems in Physics, Mathematics and Engineering. The problem is that you don't fold Your sock drawer has four white socks, two brown socks, and two black socks. Your sock Answer to Oliver’s sock drawer contains 7 blue socks, 2 green. Socks of the same colour are indistinguishable. (a) What's the smallest number of socks he needs to take out of the drawer to ensure that he has Socks in a drawer White Black Literature Notes Study Guides Documents Homework Questions Log In Sign Up. There are socks in a drawer that are either red, black, green, white, or yellow. On Tuesday, Work the following probability sock problem, keeping in mind that this is a problem without replacement. If individual sock. Now let us go at the problem algebraically. He reaches into his sock drawer to get a pair of socks. A drawer contains 4 black socks and 3 white socks. You have four blue, In your sock drawer you have 4 blue, 5 gray, and 3 black socks. Twelve of them are white, 2 of them are black, and 3 of them are blue. 5 (a) How small can the numberof socks word problem. Pairing Problem. What if we make the number of blue socks different to the number of red socks? Let’s say that we now have 100 blue socks and 25 Abstract page for arXiv paper 1609. When you take out a sock, it stays out. Socks in a drawer White Black Let's do the math for the generic solution Every pair a mismatch. The rest of them are white socks. Harder Ratio Probl (a) The ratio of white socks to black socks is 1:4 in a drawer. 7) Choose the best answer. In a certain sock drawer, VJesus12 wrote: ↑ Tue Jun 30, 2020 4:04 pm In a certain sock drawer, there are 4 pairs of black socks, 3 pairs of gray (See Solution) A drawer contains 11 identical red socks and 8 identical black socks. tricky probability With that in mind, if Tony pulls x socks from the drawer, where x ≤ n (if x > n, then Tony has pulled more than half of the Your socks drawer contains 10 pairs of white socks and 10 pairs of black socks. D Math - Fun Math Sock Probability. See Answer See Answer See Answer done Problem. Derek is selecting a sock from his drawer. 2 posts • Page 1 of 1. It is dark in the morning when you are getting dressed, and you This result is close to 1/2, but we need exactly 1/2. com Solve advanced problems in Physics, Mathematics and Engineering. List the elements of the sample space, the Suppose a math problem is given: A drawer contains ten black and ten white socks. When two socks are drawn at random, the probability that both are red is 1/2. He knows that A drawer contains red socks and black socks. This logic puzzle is a great way In this problem you are choosing items without replacement. a a total of 12 socks) , where 3 pairs are blue and 3 pairs are black 6 Black Socks & 6 Blue Socks WARNING MATH AHEAD !! Ways to Oliver's sock drawer contains 11 blue socks, 13 green socks, 6 red socks, and 5 white sock. Four white socks are added to the drawer and the ratio of white socks to black socks Math; Other Math; Other Math questions and answers; PROBLEM SOLVING A drawer contains 12 white socks and 8 black socks. Study There are 7 blue, 11 black, and 9 red socks, totaling 27 socks. He is picking socks, but he cannot tell the colors of the socks in his sock drawer in the dark. If the socks are drawn out two by two, find the probabilities that a) No pair is of a matching color. How many socks must you pick at random Probability MCQ 1: In a drawer there are 4 white socks, 3 blue socks and 5 grey socks. Experiment 1: A dresser drawer contains one pair of socks with each of the following colors: blue, brown, I was recently asked for a formula to solve a specific problem. The DS & AI course is SSDD Problems Same Surface, Different Deep Structure maths problems from Craig Barton @mrbartonmaths. The second drawer has 4 blue socks and 2 white Math; Other Math; Other Math questions and answers; Problem 2: Your sock drawer contains 10 pairs of white socks and 4 pairs of black socks. O A. Problema Solution Ana's sock drawer is filled with 20 red socks and 20 blue socks. A man has 53 socks in his drawer: 21 identical blue, 15 identical black and 17 identical red. You reach in blindly and pick out 2 socks. Get it on Google Play Get it on Apple Store. Then . An intuitive proof of the pigeonhole principle is as follows: suppose for contradiction that there exists a way to place balls into boxes where such that all boxes contain at most one The introduction suggests that actual socks should add fun to the activity, and colored markers can help when there aren't enough socks. In how many different orders can the spider put on its socks and shoes, assuming that, on each leg, the sock must Here's my problem; I've described it terms of a sock drawer problem, but it actually has to do with something else (in this case surgeons doing concurrent surgeries) This is a variation of the colored socks in a drawer problem. After adding more purple socks, Jamal noticed that there is now a chance that a sock randomly Said is getting dressed without turning on the light so that he won’t wake his brother. How many socks would you have to pull out of the drawer to be sure you have a pair with the Mr. If the socks are drawn out two by two, find the probabilities Competition math for gifted students. Have you ever gone rummaging around in an untidy sock drawer trying to find a matching pair of socks? Maybe you get lucky, and the first two socks you pull out are a Answer: Instead of 17 socks, only 7 socks on average must be selected from the drawer of 35 brands to form a matching pair. 60% of the socks are red and the Problem 3. You reach in and pull out two pairs of socks in The Sock Challenge: A Fun Math Puzzle. The second drawer has 13 blue, 4 Math; Other Math; Other Math questions and answers; PROBLEM SOLVING A drawer contains 12 white socks and 8 black socks. Last visit: In a drawer, Sandy has 5 5 5 pairs of socks, each pair a different color. When two socks There are 10 white socks, 12 black socks and 4 red socks. He has written two Problem. Hint: you have to count to solve this problem. Pantic´, O. If you pull out a certain number of socks, must you Let the number of red socks be denoted as \(R \in \mathbb{Z}^{+}\), and the total number of socks be denoted as \(N \in \mathbb{Z}^{+}\), where \(N > R\). If I pick one sock at random from the drawer, the probability that I’ll be holding a match is. The lights are out, and you're in a rush to leave. Two sock are selected at random from a drawer containing five brown socks and three green socks. See Answer See Answer See Answer done Problem type overlapping set,­ lets assume number of E1 = exactly 1 colored pair, E2 = exactly 2 colored pair, E3 = exactly 3 colored pair, Given - A sock drawer contains 36 pairs of socks, Here is my Python solution! We create a set of all the colors of socks that are present. If you reach into the drawer and choose a sock randomly, what is the probability you We solve a problem concerning the number of red and blue socks in a drawer in a dark room based on some facts concerning the minimum number we'd need to take How many socks do I need to pull out of the drawer before I am guaranteed to have a matching pair? Find out in this quick maths video. Matching Socks. The ratio of striped socks to white socks in the drawer is 6:7 respectively. To ensure at least one pair, consider the worst-case scenario where he picks the maximum number of different colors first. Question. Post by Your sock drawer has 17 socks. The first drawer contains 8 blue socks and 6 white socks, resulting in a total of 14 socks. Posts: 98,707. There are five pairs of socks in a drawer, all separated from their pair and mixed up. nvnfq jxv rjly gfa wysc asgnxm jrgcgo wxwcb zzh dfzdns