Answer
2:1
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 = $\frac{P(E)}{P(not E)}$
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 = $\frac{\frac{2}{3}}{\frac{1}{3}}$ = $\frac{2}{1}$