Answer
5:14
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 tragedy.
E={10 tragedies}
P(E)= $\frac{10}{38}$ = $\frac{5}{19}$
P(not E) = 1 - P(E)
= 1 - $\frac{5}{19}$
=$\frac{19 - 5}{19}$
= $\frac{14}{19}$
Odds in Favor = $\frac{\frac{5}{19}}{\frac{14}{19}}$ = $\frac{5}{14}$