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. His possible choice combinations are shown in the tree diagram

To Find : Probability that he will choose tan pants, a white shirt, and a red tie

Solution:

Pants   - 2 types    (Tan & white)

Shirt   -  3 Types  ( White , Black & Blue)

Tie   - 2 Types    ( Blue Red)

Total Possible combination = 2 * 3 * 2

= 12

choose tan pants, a white shirt, and a red tie  = 1 * 1 * 1 = 1

Probability to choose tan pants, a white shirt, and a red tie = 1/12

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