Sock drawer math problem. The drawer has Problem Solution Choose up to 29 red socks 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 Total: 0 / 30 Results Graphs There are n blue socks and n red socks in a drawer. 8 * 7 (7 other socks to each being matched) = 56 possible combinations in each set of socks / 2 to remove duplicates = 28 possible combinations of socks in Let's learn how to answer the famous probability interview question involving pairs of socks. When two socks are drawn at random, the probability that both are red is 0. Two drawn at random. What is the probability that I have drawn a pair of matching \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, SSDD Problems Same Surface, Different Deep Structure maths problems from Craig Barton @mrbartonmaths Socks in a drawer February 28, 2018 Craig Barton My wife buys socks for me. Actually, rather than providing the missing picture, it would be better to write out the complete problem (and the solution up to the part you are asking about) in the question. If the socks are drawn out two by two, find the probabilities that a) No pair is of a matching color. The second drawer has 13 blue, 4 red, 2 yellow and 3 green so There are 10 black socks and 10 white socks (no left-right distinction) in the wardrobe. The drawer has 3 identical blue Can you solve this 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. I take 2 socks from the drawer without looking. Welcome back to another mind-bending puzzle on the Math Puzzles channel! Today, we delve into a classic conundrum involving socks in the The Sock Problem #2 Silas reaches into his sock drawer in the dark, and he wants to make sure that he grabs a matching pair. a) How small can the number of socks in the drawer be? b) How small if the number of black socks is even? Given this information, what's the probability that the first sock you pull is red? Most people think "well if P (both red) = 1/2, then P (first red) should be set" but this problem has multiple The Sock Problem #2 Silas reaches into his sock drawer in the dark, and he wants to make sure that he grabs a matching pair. I'm not sure how to approach this problem from homework. In a drawer r red, b blue, and g green socks. Your task is to draw the minimum number of socks at random to be sure you have a pair of a single color. The first drawer has 15 blue, 4 red, 3 yellow, and no green socks. The only equation I have for calculating probability is if each outcome in the sample space has an In "Fifty Challenging Problems in Probability", Frederick Mosteller asks a question: A drawer contains red socks and black socks. Initially, the probability of picking a sock of colour $c_i$ at random is $\mathbb {P} (c_i) \cdot 2r . b) Every pair is of a matching color. In fact, I have three brands of white socks in my sock drawer. What is the expected number of attempts at taking out socks individually from the drawer before a For each set of socks, there are 8. What is the probability of getting a matching pair 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?. How many socks must be randomly removed from the drawer to ensure that four of one of the colors has been drawn? This problem is a classic illustration of the pigeonhole principle, a fundamental concept Now, we would like to solve the same question with the added constraint that the number of black socks is even. Each drawer has 22 socks. You have a drawer with an infinite number of two colors of socks, which exist in equal probability. 5 (a) How small can the number of socks in the drawer be? I have 'x' blue socks and 'y' red socks in a drawer. When two socks are A person keeps their socks in two drawers. Search similar problems in Discrete Math Counting and When matching socks after doing the laundry, how many unmatched socks can appear in the process of drawing one sock at a time from the basket? By connecting the problem of sock matching to the A drawer contains red socks and black socks. There are $n$ socks in a drawer, of $m$ different colours. To do so, we will try increasing even values for \ (b\) along with the When two socks are drawn at random, the probability that both are red is 1/2.
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