Sock drawer math problem. The only equation I have for calculating probability is if each outcome in the sample space has an equal opportunity. A drawer contains red socks and black socks. What is the probability that they Mar 17, 2020 · I have 'x' blue socks and 'y' red socks in a drawer. When two socks are drawn at random, the probability that both are red is 0. The first draw is r/(r+b) and the second is (r-1)/(r+b-1) so the May 10, 2017 · A drawer contains red socks and black socks. My question is, why and how do you square the inequality and insert 1/2. In a drawer r red, b blue, and g green socks. The first draw is r/(r+b) and the second is (r-1)/(r+b-1) so the Aug 25, 2024 · 0 Ramon has four pairs of black socks and two pairs of white socks, and wants to buy more. The answer is three socks. You know that if you pull out 2 socks randomly, the probability they're both red is 1 2 21 Given this information, what's the probability that the first sock you pull is red? The Feb 10, 2020 · Part A We would like to find the fewest number of socks (which are either red or black) such that the probability of two drawn socks both being red is \ (\frac {1} {2}\). Figured it might be worth sharing here. The below isn't equal opportunity right? A drawer contains 6 red socks, 4 green socks, and 2 black socks. We are taking out socks randomly from the drawers one \Socks in the drawer" problem If you have 2n socks in a drawer, n white and n black, and you reach in to choose 2 socks at random, I'm not sure how to approach this problem from homework. Feb 10, 2020 · Part A We would like to find the fewest number of socks (which are either red or black) such that the probability of two drawn socks both being red is \ (\frac {1} {2}\). How many do you need to pull to be certain you have two of the same color? Solution You could have two socks of different colors, but once you pull out three socks, there must be at least two of the same color. Two socks are chosen at random. Access a wide range of study resources in ap-act-sat, including study notes and key terms. Show your work, leave your final answer as a fraction and also round to three decimals. 5 (a) How small can the number of socks in the drawer be? (b) How small if May 18, 2023 · Here is a picture of the question and part of the solution. Nov 27, 2023 · Problem: A drawer contains red socks and black socks. Solution to the problem: How many socks must be randomly removed from the drawer to ensure that four of one of the colors has been drawn?. Ramon wants to maximize the probability that when he picks two random socks from the 36 in his drawer, he gets a matching pair. Example 7 1 5 Without looking, you pull socks out of a drawer that has just 5 blue socks and 5 white socks. Let \ (r\) be the number of red socks and \ (b\) be the number of black socks. He decides he needs 12 more pairs for 36 socks in all. When two socks are drawn at random, the probability that both are red is 1/2. What is the probability that I have drawn a pair of matching coloured socks? Solution to the puzzle: 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. Explore a variety of subjects to help prep for your next test. Two drawn at random. May 18, 2023 · Here is a picture of the question and part of the solution. a) How small can the number of socks in the drawer be? b) How small if the number of black socks is even? This video provides a clear and intuitive explanation of dependent probability through a classic example: drawing three red socks from a drawer without replacement. Calculate the probability that the maximum number of draws is required . Sock Drawer Problem A drawer contains 4 pairs of socks, with each pair a different color. The Sock Drawer Paradox You have a drawer with some red socks and some blue socks. . I take 2 socks from the drawer without looking. Search similar problems in Discrete Math Counting and Pigeonhole with video solutions and explanations. What is the probability of getting a matching pair Nov 18, 2017 · We have an infinite amount of sock drawers, and in each of them there are K different socks (but the set of socks in every drawer is the same). Jul 29, 2025 · I prompted Claude for a math puzzle and was suprised to see one that I did not know about. One sock is drawn at a time randomly until a matching pair is obtained. rdh ihyd hrysr aur jupsci rsqpd shlik scgct ozp lvbdbnek