Mothers Against Drunk Driving (MADD) is a very visible group whose main focus is
ID: 3429291 • Letter: M
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?
Did alcohol play a role?
1
2
3
Yes
60
110
30
200
No
40
215
45
300
100
325
75
Explanation / Answer
The proportion of the accidents involved a single vehicle is
P(single vehicle | alcohol was not involved)
=P(single vehicle and alcohol was not involved) / P(alcohol was not involved)
=40/300
=0.1333
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