Question

What is the probability that a student would randomly choose a school uniform outfit with a plaid skirt and black sneakers ?

Answer 1

Notice that as for the type of shoes, there are two possibilities either loafers or black sneakers.

Therefore, the probability of choosing black sneakers is 0.5.

On the other hand, after picking the black sneakers, there are 4 possibilities as to the sort of skirt/pants to use, and the probability of choosing a plaid skirt is 1/4=0.25.

Thus, the probability of randomly choosing a plaid skirt and black sneakers is

$P(sneakers\cap plaid)=0.5*0.25=0.125$

Therefore, the answer is 0.125 or 1/8 (both are correct).