All Seasons Plumbing has two service trucks that frequently

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:

Tried to post before but could not get an accurate answer

Solution

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