In the California Fantasy 5 Lottery, 5 distinct numbers are picked from 1,..., 39 uniformly at random. If your ticket matches three out of the five numbers, you will win $15. (a) Describe a sample space 2 and a probability measure P to model the selection of the five winning numbers. (b) What is the probability that your ticket matches exactly three out of the five numbers? Give an exact fraction answer.

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