# Chapter 11 - Counting Methods and Probability Theory - 11.6 Events Involving Not and Or; Odds - Exercise Set 11.6 - Page 736: 87

$\frac{3}{7}$

#### Work Step by Step

If the odds in favor of event E are a to b, then the probability of the event is given by P(E) = $\frac{a}{a+b}$ If you are given odds of 3 to 4 in favor of winning a bet, the probability of winning is: P(E) = $\frac{3}{3+4}$ = $\frac{3}{7}$

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