Question

the ages and genders of people who attended a play are recorded below. what is the probability that a randomly selected male audience member is younger than 18?

age	female	male	total
18 - 34	45	30	75
35 - 49	78	72	150
50 and over	31	24	55
total	210	190	400

a $\frac{3}{10}$ b $\frac{32}{63}$ c $\frac{4}{21}$ d $\frac{32}{95}$

Explanation:

Step1: Identify relevant values

We want the probability that a randomly - selected male is younger than 18. The number of males younger than 18 (17 and under) is 64, and the total number of male audience members is 190.

Step2: Calculate the probability

The probability $P$ of an event is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, the number of favorable outcomes (males younger than 18) is 64, and the total number of outcomes (total number of males) is 190. So $P = \frac{64}{190}=\frac{32}{95}$.

Answer:

D. $\frac{32}{95}$