RST Company has production facilities in Salt Lake City and Cleveland.The probability that in any given year a fire will damage the production facility in Salt Lake City is 5 percent.The probability that in any given year a fire will damage the Cleveland production facility is 4 percent.What is the probability that AT LEAST ONE of the production facilities will be damaged by fire in any given year?
A)0)20 percent
B)2)00 percent
C)8)80 percent
D)9)00 percent

Question

Quizplus · Accepted Answer

The probability of at least one facility being damaged is equal to 1 minus the probability of none of the facilities being damaged.

P(at least one facility damaged) = 1 - P(neither facility damaged)

P(neither facility damaged) = (0.95) x (0.96) = 0.912

P(at least one facility damaged) = 1 - 0.912 = 0.088 = 8.8%

Therefore, the correct choice is C) 8.8 percent.

RST Company Has Production Facilities in Salt Lake City and Cleveland.The