help????????

Question

Suppose you randomly select one T-shirt and one pair of pants from your closet. If 3 of the 12 T-shirts are blue and 4 of the 8 pair of pants are khakis, what is the probability that you wear a blue shirt and khaki pants?

Answer 1

The probability of picking a blue short is 3/12, since there are 3 blue shirts and 12 shirts total.  That's equal to 1/4.

 

In the same way, the probability of picking khaki pants is 4/8 = 1/2.

 

Since picking a shirt and picking pants are independent choices, the probability of doing both is just the product:  1/4 * 1/2 = 1/8