Question

The table shows the results of a survey of college students. Find the probability that a

student is taking a humanities class, given the student is male. Round to the nearest
thousandth.

Answer 1

0.389

Explanation:

Probability is defined as the likelihood or chance that an event will occur.

Probability = EXPECTED OUTCOME/TOTAL OUTCOME

Since we are to find the probability that a student is taking a humanities class, given the student is male, first we need to know the EXPECTED OUTCOME. Since we are considering a male student taking humanity class, the expected outcome will be 70 according to the first row, first column of the table.

The TOTAL OUTCOME will be the total number of all the male students only since we are not considering female students.

TOTAL OUTCOME = 70+50+60

TOTAL OUTCOME = 180

Probability that a student is taking a humanities class, given the student is male will then be:

70/180

= 7/18

= 0.389(to nearest thousandths)

Answer 2

D. 0.389

Explanation:

We need to find the probability of a studend taking a humanities class, given the student is male.

In this case, the total number of outcomes 180, which is the total number of male students. The possible event is 70, which is all male students which take humanities class.

So, the probability is

`P=(70)/(180) \approx 0.389`

Therefore, the right answer is D., the probability that a student is taking a humanities class, given the student is male, is 0.389, rounded to the nearest thousandth.