Question

Please answer in detail

Answer 1

`(1)/(24)`

Explanation:

1. The student is allowed to choose white, blue, green or black Polo shirts. So the student has 4 possibilities to select shirt and the probability of wearing the blue shirt is
`(1)/(4).`

2. The student is allowed to choose khaki, black or plaid skirts/pants. So the student has 3 possibilities to select skirt and the probability of wearing the plaid skirt is
`(1)/(3).`

3. The student is allowed to choose black or brown shoes. So the student has 2 possibilities to select shoes and the probability of wearing black shoes is
`(1)/(2).`

Now use the product rule for probabilities:

`Pr=(1)/(4)\cdot (1)/(3)\cdot (1)/(2)=(1)/(24).`