Small cars get better gas mileage, but they are not as safe as bigger cars. Small cars accounted for 18% of the vehicles on the road, but accidents involving small cars led to 11,898 fatalities during a recent year (Reader's Digest, May 2000). Assume the probability a small car is involved in an accident is .18. The probability of a fatality in an accident involving a small car is .128 and the probability of a fatality in an accident involving a bigger car is .05. Suppose you learn about an accident involving a fatality.
What is the probability a small car was involved in the accident (to 2 decimals)?