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

Answer

Explanation:

Step1: Identify relevant values

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

Step2: Calculate probability

The probability formula for conditional - probability in this case is $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So $P = \frac{64}{190}=\frac{32}{95}$.

Answer:

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