All Seasons Plumbing has two service trucks that frequently need repair. If the

Question

All Seasons Plumbing has two service trucks that frequently need repair. If the probability the first truck is available is 0.65, the probability the second truck is available is 0.45, and the probability that both trucks are available is 0.46:

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All Seasons Plumbing has two service trucks that frequently need repair. If the probability the first truck is available is 0.65, the probability the second truck is available is 0.45, and the probability that both trucks are available is 0.46:

Explanation / Answer

Given P(first truck is available) = 0.65

P(second truck is available) = 0.45

P(both trucks are available) = 0.46

So the probability neither truck is available is

1-P(first truck is available or second truck is available)

=1- P(first truck is available) - P(second truck is available) + P(both trucks are available)

=1-0.65 - 0.45 + 0.46

=0.36

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