the ages and genders of people who attended a play are recorded below. what is the probability that a…

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?\n| age | female | male | total |\n| ---- | ---- | ---- | ---- |\n| 17 and under | 56 | 64 | 120 |\n| 18 - 34 | 45 | 30 | 75 |\n| 35 - 49 | 78 | 72 | 150 |\n| 50 and over | 31 | 24 | 55 |\n| total | 210 | 190 | 400 |\na $\frac{3}{10}$ b $\frac{32}{63}$ c $\frac{4}{21}$ d $\frac{32}{95}$

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?\n| age | female | male | total |\n| ---- | ---- | ---- | ---- |\n| 17 and under | 56 | 64 | 120 |\n| 18 - 34 | 45 | 30 | 75 |\n| 35 - 49 | 78 | 72 | 150 |\n| 50 and over | 31 | 24 | 55 |\n| total | 210 | 190 | 400 |\na $\frac{3}{10}$ b $\frac{32}{63}$ c $\frac{4}{21}$ d $\frac{32}{95}$

Answer

Explanation:

Step1: Identify relevant values

The number of male audience members younger than 18 (17 and under) is 64. The total number of male audience members is 190.

Step2: Calculate probability

The probability $P$ of an event is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So, $P = \frac{64}{190}=\frac{32}{95}$.

Answer:

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