If an airbag kills a passenger, calculate the probability that the airbag was manufactured by Cool. (Express your answer as a decimal rounded to the nearest ten-thousandth.)
Airbags are manufactured by Aces (A), Best (B), and Cool (C) at rates of 57%, 26% and 17%, respectively. Airbags occasionally kill (K) passengers when they deploy in accidents. Airbags made by Aces, Best, and Cool do not kill people at rates of 99%, 96%, and 87%, respectively. One airbag is randomly selected for testing. If an airbag kills a passenger, calculate the probability that the airbag was manufactured by Cool. (Express your answer as a decimal rounded to the nearest ten-thousandth.)
If an airbag kills a passenger, calculate the probability that the airbag was manufactured by Cool. (Express your answer as a decimal rounded to the nearest ten-thousandth.)