SOLUTION: Of two air conditioners x and y in a computer lab, x has a probability of 0.03 of breaking down on any one day and y has a probability of 0.05. On the first summer when both air co

Question 252588: Of two air conditioners x and y in a computer lab, x has a probability of 0.03 of breaking down on any one day and y has a probability of 0.05. On the first summer when both air conditioners are called in to use what is the probability that exactly one will break down?
Found 2 solutions by drk, Theo:
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
P(x break down) = .03
P(x not break down) = .97
P(y break down) = .05
P(y not break down) = .95
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P(x break down or Y break down): .03 x .95 + .97 x .05 = .077.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
probability would be .03 + .05 - .03 * .05

.03 is the probability that one will break down.

.05 is the probability that the other will break down.

.03 * .05 is the probability that both will break down.

the probability that exactly one will break down is the probability that one will break down or the other will break down minus the probability that both will break down.

that equals .03 + .05 - .03 * .05 = .0785

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