Question

FIND THE INDICATED PROBABILITY

A class consists of 66 women and 98 men. If a student is randomly selected, what is the probability that the student is a woman?

A) 1/164

B) 49/82

C) 33/49

D) 33/82

Answer 1

total number of people = 66 + 98 = 164

P(a woman selected) = 66 / 164 = 33/82

Answer 2

D) 33/82

Explanation:

Given:

The number of women in the class = 66

The number of men in the class = 98

Now we have to find the total number of students.

The total number of students in the class = 66 + 98 = 164

We know that, the probability of an event = The number of favorable outcomes / The total number of possible outcomes.

Here we are asked to find the probability that the student is a women.

The number of favorable outcomes = 66 and the total number of possible outcomes = 164.

So, the probability that the student is a woman =
`(66)/(164)`

We can simplify this fraction. Here GCF of 66 and 164 is 2. So we need to divide both the numerator and the denominator by 2, we get

=
`(33)/(82)`

The answer is D) 33/82