Question

An insurance company insured 2000 scooter drivers, 3000 car drivers and 4000 truck drivers. The probabilities of their meeting with an accident respectively are 0.04, 0.06 and 0.15. One of the insured persons meets with an accident. Find the probability that he is a car driver.

Answer 1

Let
S = Eventof insurance of scooter driver
C = Eventof insurance of Car driver
T = Eventof insurance of Truck driver
and A = Event of meeting with an accident
Now, we have, P(S) = Probability of insurance of scooter driver

and, P(A / S) = Probability that scooter driver meet. with an accident
=> P (A / S) = 0.04
P (A / C) = Probability that car driver meet with an accident
=> P (A / C) = 0.06
P (A / T) = Probability that Truck driver meet with an accident
=> P (A / T) = 0.15
By Baye’s theorem, we have the required probability