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 = $\frac{P(E)}{P(not E)}$ We are asked to find the odds in favor of rolling a number greater than 2. S : {1,2,3,4,5,6} E: { 3,4,5,6} P(E)= $\frac{4}{6}$ = $\frac{2}{3}$ P(not E) = 1 - P(E) = 1 - $\frac{2}{3}$ =$\frac{3-2}{3}$ = $\frac{1}{3}$ Odds in Favor = $\frac{\frac{2}{3}}{\frac{1}{3}}$ = $\frac{2}{1}$