Determine whether the events are mutually exclusive.
-A sample of 100 wood and 100 graphite tennis rackets are taken from the warehouse. If 5 wood and 10 graphite are defective and one racket is randomly selected from the sample, find the probability that the racket is wood or defective.
A)0.525
B)0.075
C)0.55
D)There is insufficient information to answer the question.

Question

Quizplus · Accepted Answer

The events "wood" and "defective" are not mutually exclusive because a racket can be both wood and defective. The probability of selecting a wood racket is 100/200 = 0.5, and the probability of selecting a defective racket is 15/200 = 0.075. The probability of selecting a wood and defective racket is 5/200 = 0.025. Using the formula for the probability of either event occurring, P(A or B) = P(A) + P(B) - P(A and B), we get 0.5 + 0.075 - 0.025 = 0.55.

Determine Whether the Events Are Mutually Exclusive