An insurance company insured 3000 cyclists, 6000 scooter drivers and 9000 car drivers. The probability of an accident involving a cyclist, a scooter driver and a car driver are 0·3, 0·05 and 0·02 respectively. One of the insured persons meets with an accident. What is the probability that he is a cyclist ?
Let the events are defined as E1 : The person chosen is a cyclist.
E2 : Person chosen is a scooter driver.
E3 :Person chosen is a car driver and
A: The person meets with an accident.
Then
Also,
Thus required probability,