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? a 3/10 b 32/63 c 4/21 d 32/95

Explanation:

Step1: Determine the number of male audience members younger than 18

From the table, the number of male audience members younger than 18 (17 and under) is \(64\).

Step2: Determine the total number of male audience members

From the table, the total number of male audience members is \(190\).

Step3: Calculate the probability

The probability \(P\) that a randomly selected male audience member is younger than 18 is given by the formula \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\).
So, \(P = \frac{64}{190}\).
Simplify \(\frac{64}{190}\) by dividing both numerator and denominator by \(2\): \(\frac{64\div2}{190\div2}=\frac{32}{95}\).

Answer:

D. \(\frac{32}{95}\)