Question

a town has 2 fire engines operating independently . the probability that a specific engine is available when needed is 0.96. what is the probability that neither is available when needed

Answer 1

The probability that neither is available when needed

`P(A n B)^(c) = 0.04`

Explanation:

A town has 2 fire engines operating independently

Given data the probability that a specific engine is available when needed is 0.96.

Let A and B are the two events of two fire engines

given P(A and B) = 0.96 ( given two engines are independent events so you have to select A and B)

Independent events : P( A n B) = P(A) P(B)

The probability that neither is available when needed

`P(A n B)^(c) = 1- P(A n B)`

`P(A n B)^(c) = 1- 0.96 = 0.04`