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