Question

There are 15 boys and 14 girls in a room. Two of

them are selected at random to take a survey. What is
the probability that the two people selected will be girls?

Answer 1

13/58

Explanation:

p(event) = (number of ways event can happen)/(total number of outcomes)

First selection:

number of girls (desired outcome) = 14

total number of choices (boys + girls) = 29

p(girl) = 14/29

Second selection:

Now that a girls has been selected, there is one less girl and one less total number of people.

number of girls (desired outcome) = 13

total number of choices (boys + girls) = 28

p(girl) = 13/28

The overall probability is the product of the two individual probabilities.

p(girl, girl) = 14/29 × 13/28 = 13/58

Answer: 13/58