Question

The Bremen City School System is opening an all girls academy next school year. The girls choose one top (Green or Yellow), one pant (Khaki or Blue, and one pair of shoes (dress or white), What is the probability of choosing white shoes and a green shirt?

Answer 1

0.25 = 25% probability of choosing white shoes and a green shirt

Explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

The probability of choosing a shoe is independent of the shirt. So we find each separate probability, and then multiply them.

Probability of choosing white shoes:

2 shoes option, one of which is white. So

`P(A) = (1)/(2)`

Probability of choosing a green shirt:

2 shirts options, one of which is green. So

`P(B) = (1)/(2)`

What is the probability of choosing white shoes and a green shirt?

`P(A \cap B) = P(A)*P(B) = (1)/(2) * (1)/(2) = (1)/(4)`

0.25 = 25% probability of choosing white shoes and a green shirt