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1. For a finite, equiprobable sample space S, show that
P(A|B) = |A ∩ B| |B| , for any two events A, B.
2. Use the result in problem 2 to find P(A|B) where |A| = 25, |A − B| = 15, and |B − A| = 10.
Note the use of the result from 2 allows us to compute this conditional probability without actually knowing the size of our sample space.
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