Of people in a certain city who bought a new vehicle in the past year, 12% of them bought a hybrid vehicle, and 5% of them bought a hybrid truck. Given that a person bought a hybrid vehicle, what is the probability that it was a truck?

Solution :

Step 1 of 1:

Given,

A person buys a new vehicle is 12% and

A person buys a new hybrid truck is 5%.

Our goal is to find :

a). What is the probability that it was a truck?

a).

Now we have to find the probability that it was a truck.

Here A and B be the two event.

Let A is the person buy a new vehicle.

So P(A)=0.12

Let B is the person buy a new hybrid truck.

So P(B)=0.05.

Then the formula of is

Where

Substitute the values.

Therefore the probability that it was a truck is 0.417.