of the 40 plays attributed to a playwright, 10 are comedies, 19 are tragedies, and 11 are histories. if one…

of the 40 plays attributed to a playwright, 10 are comedies, 19 are tragedies, and 11 are histories. if one play is selected at random, find the odds in favor of selecting a tragedy or a comedy. the odds in favor are : (simplify your answer.)

of the 40 plays attributed to a playwright, 10 are comedies, 19 are tragedies, and 11 are histories. if one play is selected at random, find the odds in favor of selecting a tragedy or a comedy. the odds in favor are : (simplify your answer.)

Answer

Explanation:

Step1: Calculate number of favorable outcomes

The number of comedies is 10 and the number of tragedies is 19. So the number of favorable outcomes (tragedy or comedy) is $10 + 19=29$.

Step2: Calculate number of non - favorable outcomes

The number of histories is 11, which are the non - favorable outcomes.

Step3: Find the odds in favor

The odds in favor of an event is the ratio of the number of favorable outcomes to the number of non - favorable outcomes. So the odds in favor of selecting a tragedy or a comedy is $\frac{29}{11}$.

Answer:

$29:11$