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?

Respuesta :

Answer:

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

Step-by-step 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:

[tex]P(E)=\frac{n(E)}{N}[/tex]

Compute the probability of selecting a boy as follows:

[tex]P(B)=\frac{n(B)}{N}=\frac{20}{35}=\frac{4}{7}=0.5714[/tex]

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