# Chapter 11 - Counting Methods and Probability Theory - 11.7 Events Involving And; Conditional Probability - Exercise Set 11.7: 41

$\frac{11}{21}$

#### Work Step by Step

If A and B are dependent events, then P(A and B) = P(A)*P(B given that A has occurred) E: No Independents. A: Democrats or Republicans B: Democrats or Republicans given that one has already been selected P(A) = $\frac{11}{15}$ P(B) =$\frac{10}{14}$ P(E) = $\frac{11}{15}$ .$\frac{10}{14}$ P(E)=$\frac{11}{21}$

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