Suppose you have 40 blue socks and 40 brown socks in a drawer. How many socks must you take from the drawer (without looking) to be sure of getting a pair of the same color?
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Suppose you have 40 blue socks and 40 brown socks in a drawer. How many socks must you take from the drawer (without looking) to be sure of getting a pair of the same color? Choose the correct answer below. A. 2 socks. Suppose a brown sock is taken from the drawer. Then, a second sock is taken from the drawer, which is also brown. B. 3 socks. Suppose a brown sock is taken from the drawer. Then, a second sock is taken from the drawer, which is blue. A third sock is pulled, which is either brown or blue. C. 6 socks. Suppose a brown sock is taken from the drawer. Then, a second sock is taken from the drawer, which is blue. The third, fourth, and fifth socks are also blue, but the sixth sock is brown. D. 4 socks. Suppose a brown sock is taken from the drawer. Then, a second sock is taken from the drawer, which is blue. The next sock is also blue, but the fourth sock is brown.
Donna D.
A drawer contains a dozen brown socks and a dozen black socks, all unmatched. A man takes socks out at random in the dark. a) How many socks must he take out to be sure that he has at least two socks of the same color? b) How many socks must he take out to be sure that he has at least two black socks?
Counting
The Pigeonhole Principle
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. the lights are out, and you're in a rush to leave. what is the smallest number of socks you should pull out so that you can be assured that you will have at least one pair of matching socks? note that there are no left or right socks and two socks of the same color will be considered matching.
Bailey R.
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