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Number in a sample with a particular characteristic

 

Consider a group on M individual items, D of which have a certain characteristic. Randomly picking n items from this group without replacement, where each of the M items has the same probability of being selected, is a hypergeometric process. For an example, imagine we have a bag of seven balls, three of which are red, the other four are blue. What is the probability that a person will select two red balls from the bag if he randomly picks three balls out without replacement?

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