Probability that a truck stopped at  a road block will have faulty brakes or badly worn tires are 0.3 and 0.24, respectively. Also, the probability is 0.38 that a truck stopped at the roadblock will have faulty brakes and or badly working tires. What is the probability that a truck stopped at this road block will have faulty brakes as well as badly worn tires?

Explanation

Let `B ` be the event that a truck stopped at the roadblock will have faulty brakes
and


`T` be the event that it will have badly worn tires.
We have
`P (B) = 0.23, P (T) = 0.24` and `P (BuuT) = 0.38`

and `P (B uu T) = P (B) + P (T) – P (B nn T) `
`=>0.38 = 0.23 + 0.24 – P (B nn T) `

`=>P (B nn T) = 0.23 + 0.24 – 0.38 = 0.09`