## Thinking Mathematically (6th Edition)

$\frac{3}{7}$
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) = $\frac{3}{3+4}$ = $\frac{3}{7}$