Answer
1:3
Work Step by Step
The odds in favor of E are found by taking the probability that E will occur
and dividing by the probability that E will not occur.
Odds in Favor = $\frac{P(E)}{P(not E)}$
The odds in favor of drawing a heart are:
P(E) = $\frac{13}{52}$ = $\frac{1}{4}$
P(not E) = 1 - P(E)
= 1 - $\frac{1}{4}$
=$\frac{4-1}{4}$ = $\frac{3}{4}$
Odds in Favor = $\frac{\frac{1}{4}}{\frac{3}{4}}$ = $\frac{1}{3}$