An insurance company insured 2000 scooters and 3000 motorcycles. The probability of an accident involving a scooter is 0.01, and that of motorcycles is 0.02. An insured vehicle met with an accident. Find the probability that the accidented vehicle was a motorcycle.

Let M : Motorcycle


S : Scooter


A : Accident vechicle


We want to find P(M|A), i.e. probability of accident vehicle was a motorcycle







Conclusion: Therefore, the probability of accident vechile was motorcycle is


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