Question

In a certain class of students, there are 11 boys from Wilmette, 7 girls from Wilmette, 5 boys from Winnetka, 4 girls from Winnetka, 4 boys from Glencoe, and 4 girls from Glencoe. If the teacher calls upon a student to answer a question, what is the probability that the student will be a boy?

Answer 1

The probability that the teacher calls upon a boy is, 0.5714.

Explanation:

The data provided is:

Boys Girls Total

Wilmette 11 7 18

Winnetka 5 4 9

Glencoe 4 4 8

__________________________

Total 20 15 35

The total number of students is, N = 35.

The number of boys in the class is, n (B) = 20

The probability of an event E is:

`P(E)=(n(E))/(N)`

Compute the probability of selecting a boy as follows:

`P(B)=(n(B))/(N)=(20)/(35)=(4)/(7)=0.5714`

Thus, the probability that the teacher calls upon a boy is, 0.5714.