# An insuranc

Given:

Company has 3000 scooters, 4000 cars and 5000 trucks.

Let us assume U1, U2, U3 and A be the events as follows:

U1 = choosing scooter

U2 = choosing car

U3 = choosing truck

A = Involving in accident

From the problem:

P(A|U1) = P(scooter involving in accident)

P(A|U2) = P(car involving in a accident)

P(A|U3) = P(truck involving in accident)

Now we find

P(U1|A) = P(The vehicle which met with accident is a scooter)

P(U2|A) = P(The vehicle which met with accident is a car)

P(U3|A) = P(The vehicle which met with accident is a truck)

Using Baye’s theorem:

The required probabilities are .

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