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
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 1

The probability that a randomly selected male audience member is younger than 18 is 32/95, which is found by dividing the number of males 17 and under (64) by the total number of male audience members (190).

Step-by-step explanation:

To find the probability that a randomly selected male audience member is younger than 18, we must look at the number of male members who are 17 and under and the total number of male audience members. According to the data provided, there are 64 males who are 17 and under out of a total of 190 male audience members.

To calculate the probability, we use the formula Probability = Number of favorable outcomes / Total number of outcomes. Thus, the probability is:

Probability = 64 / 190 = 32 / 95

Therefore, the correct answer is D. 32/95.