# Finite Math : Probability

If the probability that a woman is rich is 0.4, the probability that she is beautiful is 0.3 and the probability that she is either rich or beautiful is 0.5, what is the probability that she is both rich AND beautiful?

Please show "all" steps to solution.

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Denote the probability that the woman is rich as P(R) and that she is beutiful as P(B).

Denote the probability that she is either rich or beuatiful as

P(C):

P(C)=P[(R OR B) but NOT ...

#### Solution Summary

The probability that a woman is rich and beautiful is calculated. The solution is well explained.

$2.49