Question

Todd has 4 different long-sleeved T-shirts and 2 baseball hats. If he selects one of each without looking, which ratio represents the probability that he'll be wearing his favorite T-shirt and favorite hat?

one-eighth

one-sixth

two-sixthts

two-eighths

Answer 1

we have 4 different T-shirts
then the probability that he'll be wearing his favorite T-shirt P(T) = 1/4

we have 2 different baseball hats
then the probability that he'll be wearing his favorite baseball hats P(B) = 1/2

since the two events are independent
the probability that he'll be wearing his favorite T-shirt and favorite hat is
P(T intersection B) = (1/4)*(1/2) = 1/8

Answer 2

I got 1/8, too