Mothers Against Drunk Driving (MADD) is a very visible group whose main focus is

Question

Mothers Against Drunk Driving (MADD) is a very visible group whose main focus is to educate the public about the harm caused by drunk drivers. A study was recently done that emphasized the problem we all face with drinking and driving. Five hundred accidents that occurred on a Saturday night were analyzed. Two items noted were the number of vehicles involved and whether alcohol played a role in the accident. The numbers are shown below: Number of Vehicles Involved Did alcohol play a role? 1 2 3 Yes 60 110 30 200 No 40 215 45 300 100 325 75 Given that alcohol was not involved, what proportion of the accidents involved a single vehicle? Place your answer, rounded to 2 decimal places, in the blank. For example, 0.23 is a legitimate answer.

Explanation / Answer

Ans:

P(alcohal not involved)=300/500=0.6

P(single and alcohal not involved)=40/500=0.08

P(single/alcohal not involved)=P(single and alcohal not involved)/P(alcohal not involved)

=0.08/0.6=0.13

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