Let me give you an example: There are two boxes A and B. Box A has 7 Good Apples and 3 Bad ones and Box B has 1 Good Apple and 9 Bad ones. The probability of someone picking a good apple at random from Box A and Box B is .7 and .1. Also, note that every time an Apple is picked the Apple is put back into the same box (the probability accounts for the setting with replacement). So, no matter how much ever time a person tries to pick from box B the probability of picking a good Apple is 0.1 as every pick is independent.
So, if we say increase the number of apples one can pick from a box. The worst case is that a person has to pick 10 apples from box B to have one good Apple, which comes to 4 in Box A.
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