Question

	Age	Age
Gender	Under $40$	$40$ or older	Total
Male	$12$	$2$	$14$
Female	$8$	$3$	$11$
Total	$20$	$5$	$25$

The table above shows the distribution of age and gender for $25$ people who entered a contest. If the contest winner will be selected at random, what is the probability that the winner will be either a female under age $40$ or a male age $40$ or older?

• A. $\frac{4}{25}$
• B. $\frac{10}{25}$
• C. $\frac{11}{25}$
• D. $\frac{16}{25}$

Answer 1

The correct option is B $\frac{10}{25}$

Of the $25$ people who entered the contest, there are $8$ females under age $40$ and $2$ males age $40$ or older.

Therefore, the probability that the contest winner will be either a female under age $40$ or a male age $40$ or older is:

$\frac{8}{25}+\frac{2}{25}=\frac{10}{25}$