Suppose that there are n kids numbered 1,2,,n. You have m candics, you are distributing the candics to the kids using the following expcriment: For cach candy uniform at random pick a kid an give the candy to her. A kid is unlucky, if she does not get any candy. Use union bound to derive an upper bound on the probability that there is at least one unlucky kid.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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4. Suppose that there are n kids numbered 1,2, ., n. You have m candics, you are distributing
the candies to the kids using the following cxpcriment: For cach candy uniform at random
pick a kid an give the candy to her. A kid is unlucky, if she does not get any candy. Usc
union bound to derive an upper bound on the probability that there is at least one unlucky
kid.
Transcribed Image Text:4. Suppose that there are n kids numbered 1,2, ., n. You have m candics, you are distributing the candies to the kids using the following cxpcriment: For cach candy uniform at random pick a kid an give the candy to her. A kid is unlucky, if she does not get any candy. Usc union bound to derive an upper bound on the probability that there is at least one unlucky kid.
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