SOLUTION: All Seasons Plumbing has two service trucks that frequently need repair. If the probability the first truck is available is 0.76, the probability the second truck is available is 0

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Question 1025439: All Seasons Plumbing has two service trucks that frequently need repair. If the probability the first truck is available is 0.76, the probability the second truck is available is 0.46, and the probability that both trucks are available is 0.41:
What is the probability neither truck is available?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
p(a) = .76
p(b) = .46
p(a and b) = .41

p(a or b) = p(a) + p(b) - p(a and b)

that becomes .76 + .46 - .41 which is equal to .81

p(not(a or b)) is equal to 1 - p(a or b) which is equal to 1 - .81 = .19

the probability that neither is available is equal to 1 minus the probability that either is available.