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. Four 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: Referring to TABLE 1, what proportion of accidents did not involve alcohol and involved three vehicles?

Explanation / Answer

Solution:

There were 170 + 230 = 75 + 275 + 50 = 400 accidents.

Out of these 400 accidents, 170 involved alcohol, 75 involved a single vehicle, and 50 involved both alcohol and a single vehicle. Therefore, 170 + 75 - 50 = 195 accidents involved alcohol or a single vehicle.

So 195/400 = 0.4875 or 48% of the accidents involved alcohol or a single vehicle.

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