Answer
3:10
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 picture card are:
E: {12 picture cards}
P(E) = $\frac{12}{52}$ = $\frac{3}{13}$
P(not E) = 1 - P(E)
= 1 - $\frac{3}{13}$
=$\frac{13 -3}{13}$ = $\frac{10}{13}$
Odds in Favor = $\frac{\frac{3}{13}}{\frac{10}{13}}$ = $\frac{3}{10}$