# probability that a player's pick wins the grand prize

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In a certain lottery, k balls are chosen at random and without replacement from a bin containing N balls numbered 1 through N. A player picks k + 2 numbers between 1 and N. The player wins the grand prize if their pick contains all k of the lottery numbers.

(a) Set up a probability space to model this experiment.

(b) Find the probability that a player's pick wins the grand prize.

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##### Solution Summary

The solution finds the probability that a player's pick wins the grand prize.

###### Education

- BSc, University of Bucharest
- MSc, Ovidius
- MSc, Stony Brook
- PhD (IP), Stony Brook

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