Question

Victor must choose one pair of pants, one shirt, and one tie to wear to work. His possible choice combinations are shown in the tree diagram below.

If Victor chooses these work clothes at random, what is the probability that he will choose tan pants, a white shirt, and a red tie?

4/9

3/7

1/12

1/4

Answer 1

Given:

Victor must choose one pair of pants, one shirt, and one tie to wear to work.

To find:

the probability that he will choose tan pants, a white shirt, and a red tie.

Solution:

1) Victor has two pair of pants which is tan and black. So the probability of choosing the tan pant is

P(pant) = 1/2

2) He has three shirt which are white, black and blue. So the probability of choosing the white shirt is

P(shirt) = 1/3

3) He has two tie which is red and blue so the probability to choose the red tie is

P(Tie) = 1/2

4) Probability of the event = P(pant)+P(shirt)+P(tie)

                                           = 1/2×1/3×1/2

                                           = 1/12

The probability that he will choose tan pants, a white shirt, and a red tie is 1/12