Question

Julie went to visit her aunt and uncle for the weekend. She took the following clothes: two pairs of slacks – one brown, one black; three sweaters – one tan, one red and one white; two shirts – one white and one gray. What is the probability that Julie will wear brown slacks and a white shirt

Answer 1

Answer: 0.25

Explanation:

The data we have is:

Slacks: one brown, one black.

Sweaters: one tan, one red, one white.

Shirts: one white, one gray.

If the clothes are selected at random, then the probability that Julie will wear brown slacks is equal to the number of brown slacks, divided the total number of slacks.

We have 1 brown slack and 2 slacks in total, so the probability is:

p1 = 1/2 = 0.5

We do the same for the white shirt, we have 2 shirts and one is white, so the probability is:

p2 = 1/2 = 0.5

And we do not have any condition in the sweater, so we can ignore that selection.

Then the probability of both events happening at the same time (that Julie will wear brown slacks and a white shirt) is equal to the product of the individual probabilities: P = p1*p2 = 0.5*0.5 = 0.25