There are 22 gloves in a drawer: 5 pairs of red gloves, 4 pairs of yellow gloves
ID: 3541987 • Letter: T
Question
There are 22 gloves in a drawer: 5 pairs of red gloves, 4 pairs of yellow gloves, and 2 pairs of green. You select the gloves in the dark and can check them only after a selection has been made. What is the smallest number of gloves ou need to select to have at least one matching pair in the best case? in the worst case?
b) Imagine that after washing 5 distinct pairs of socks, you discover that two socks are missing. Of course, you would like to have the largest number of complete pairs remaining. Thus, you are left with 4 complete pairs in the best case scenerio and with three complete pairs in the worst case. Assume the probability of disappearance for each of the 10 socks is the same, find the probability of the best-case scenerio; the probability of the worst case scenerio; the number of pairs you should suspect in the average case.
Explanation / Answer
2 in best case - if u take 2, those two are of same color
4 in worst case - if u take 4, one red, one yellow, one green and then the fourth one should be any of the three(pigeon hole principle).
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