Let E1,E2,E3 and A be events defined as follows. E1 = person chosen is a scooter driver E2= person chosen is a car driver. E3 = person chosen is a truck driver & A = person meets with an accident
P(E1)=
2000
12000
=
1
6
;P(E2)=
1
3
& P(E3)=
1
2
∵Probability that a person meets with an accident given that he is a scooter driver=P(
A
E1
)=0.01 P(
A
E2
)=0.03&P(
A
E3
)=0.15 ∵ the person meets with an accident, ∴ the probability that he was a scooter driver