Picking from a pool of 20000 different numbers, each experiment we pick 1000 different numbers(one numbers can be picked repeatedly in different experiments but not in the same experiment), and we pick n times(n experiments).whats the probability that at least one number is picked fewer than 3 times in the entire n experiments?
From What I got, the probability of a number in this pool getting picked at least once is (1-the probability of this number never getting picked).
So In Experiment 1, the probability of this number not getting picked is 19/20.
In Experiment 2, the probability of this number not getting picked is (19/20)^2
So the probability of this number not getting picked at experiment n is (19/20)^n
And that's what I got if just at least 1, what if we change that to 2 or 3 or d?
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