Determine the probability of randomly selecting a green piece of clothing or a jacket.

Question

3) A basket contains 4 red Santa hats, 6 green Elf hats, 5 red jackets, and 7 green jackets. Determine the probability of randomly selecting a green piece of clothing or a jacket.

(A) Use the Addition Rule to calculate this probability and explain your answer. (5 points)

Write your answer as a percent. You must show all of your work.

(B) Are a Green piece of clothing and a Jacket mutually exclusive events? (1 point)

Answer 1

22 pieces of clothing

13 green clothing (7 jackets and 6 hats)

7 green jacket

A) P(green clothing or green jacket) = P(green clothing) + P(green jacket) - P(green clothing and green jacket) = 13/22 + 7/22 - 7/22 = 13/22

B) mutually exclusive events are events that cannot happen at the same time. Since a green jacket and green clothing can happen at the same time, they are not mutually exclusive events.