SOLUTION: All Seasons Plumbing has two service trucks that frequently need repair. If the probability the first truck is available is .76, the probability the second truck is available is .5

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Question 947700: All Seasons Plumbing has two service trucks that frequently need repair. If the probability the first truck is available is .76, the probability the second truck is available is .55, and the probability that both trucks are available is .46. What is the probability neither truck is available?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
let a be the event that truck 1 is available.
let b be the event that truck 2 is available.

p(a) is given as .76
p(b) is given as .55
p(a and b) is given as .46

p(a or b) = p(a) + p(b) - p(a and b) = .76 + .55 - .46 = .85

not p(a or b) is equal to 1 - p(a or b) = 1 - .85 = .15

probability that neither truck is available is .15 based on this formula.