Question

All Seasons Plumbing has two service trucks that frequently need repair. If the probability the first truck is available is 0.74, the probability the second truck is available is 0.56, and the probability that both trucks are available is 0.41 What is the probability neither truck is available?

Answer 1

Probability that the first truck is available = 0.74

Probability the second truck is available =0.56

Probability that both trucks are available =0.41

Probability that either first or Second Truck (but not both) is available:-

As we know:-

P(A or B)=P(A) +P(B)-P(A and B)

=0.74+0.56-0.41

=0.89

Probability that either first or Second Truck (but not both) is available=0.89

Probability (neither truck is available)=1-Probability(either first or Second Truck available)

=1-0.89

=0.11 ans.