Thinking Mathematically (6th Edition)

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 = $\frac{\frac{3}{13}}{\frac{10}{13}}$ = $\frac{3}{10}$