Small cars get better gas mileage, but are not as safe as bigger cars.

Small cars get better gas mileage, but are not as safe as bigger cars. Small cars accounted for 18% of vehicles on the road, but accidents involving small cars led to 11,898 fatalities during a recent year. Assume the probability a small car is involved in an accident is .18. The probability of an accident a involving a small car leading to a fatality is .128 and the probability of an accident not involving a small car leading to a fatality is .05. Suppose you learn of an accident involving a fatality. What is the probability a small car was involved? Assume that the likelihood of getting into an accident is independent of car size.