Question

Please answer in detail

Answer 1

Answer:

$\dfrac{1}{24}$

Step-by-step 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 $\dfrac{1}{4}.$

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 $\dfrac{1}{3}.$

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 $\dfrac{1}{2}.$

Now use the product rule for probabilities:

$Pr=\dfrac{1}{4}\cdot \dfrac{1}{3}\cdot \dfrac{1}{2}=\dfrac{1}{24}.$