An insurance company insured 1000 scooter drivers, 3000 car drivers and 6000 truck drivers. The probabilities that the scooter, car and truck drivers meet with an accident are 0.2, 0.04 and meets with an accident. What is the probability that he is a car drivers ?
To find the probability that a randomly selected driver who meets with an accident is a car driver, we can use conditional probability. Conditional probability is the probability of an event occurring given that another event has already occurred. In this case, we want to find the probability that a driver is a car driver given that they have met with an accident.
Let's denote the events as follows:
- \( A \): Driver meets with an accident
- \( S \): Driver is a scooter driver
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