Question

of the 40 plays attributed to a playwright, 17 are comedies, 13 are tragedies, and 10 are histories. if one play is selected at random, find the odds in favor of selecting a comedy. the odds in favor of selecting a comedy are (simplify your answer.)

Explanation:

Step1: Define odds - in - favor formula

Odds in favor of an event $E$ is $\frac{\text{Number of favorable outcomes}}{\text{Number of non - favorable outcomes}}$.

Step2: Identify favorable and non - favorable outcomes

The number of comedies (favorable outcomes) is $n_1 = 17$. The number of non - comedies (non - favorable outcomes) is $n_2=13 + 10=23$.

Answer:

$17:23$