Answer
14:5
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 = $\frac{P(E)}{P(not E)}$
Using the information given to us in the problem, we find the odds in favor of selecting a comedy or a tragedy.
E: {18 comedies, 10 tragedies}
P(E)= $\frac{28}{38}$ = $\frac{14}{19}$
P(not E) = 1 - P(E)
= 1 - $\frac{14}{19}$
=$\frac{19 - 14}{19}$
= $\frac{5}{19}$
Odds in Favor = $\frac{\frac{14}{19}}{\frac{5}{19}}$ = $\frac{14}{5}$