18% of all students at west colon high school play baseball and 32% play soccer. the probability that a student plays baseball given that the student plays soccer is 22%. calculate the probability that a student plays both baseball and soccer.

a. 0.6875
b. 02275
c. 0.0396
d. 1.
e. 0.0704
f. 0.0576

e. 0.0704

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that a student plays baseball.

B is the probability that a student plays soccer.

We have that:

In which a is the probability that a student plays baseball but not soccer and is the probability that a student plays both of these sports.

By the same logic, we have that:

18% of all students at West Colon High School play baseball and 32% play soccer.

This means that

The probability that a student plays baseball given that the student plays soccer is 22%.

This means that

Calculate the probability that a student plays both baseball and soccer.

This is

So the correct answer is:

e. 0.0704

51-50

step-by-step explanation: