Question

A box contains 4 black shirts, 8 blue shirts, 4 black pants, and 10 blue pants. Determine the probability of randomly selecting a blue piece of clothing or a pair of pants. Use the formula

P(AorB)  P(A)P(B)P(AandB)

Answer 1

All in all there are 26 pieces of clothing available. The probability of randomly selecting a blue piece is equal to 18/26. Also, the probability of picking up a pants is 14/26. There are 10 blue pants and the probability of picking up one of those is 10/26. The answer can be computed as follows:
P(A or B) = (18/26) + (14/26) - (10/26) = 22/26
P(A or B) = 22/26 or 11/13