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Question
the table summarizes results from 990 pedestrian deaths that were caused by automobile accidents.
if one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was intoxicated or the driver was intoxicated.
report the answer as a percent rounded to one decimal place accuracy. you need not enter the \%\ symbol.
prob =
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Step1: Calculate the number of favorable cases
Use the formula \(n(A\cup B)=n(A)+n(B)-n(A\cap B)\).
Let \(A\) be the event that the pedestrian was intoxicated and \(B\) be the event that the driver was intoxicated.
\(n(A)=42 + 233=275\), \(n(B)=42+71 = 113\), \(n(A\cap B) = 42\).
So \(n(A\cup B)=275+113 - 42=346\).
Step2: Calculate the probability
The total number of cases \(N = 990\).
The probability \(P=\frac{n(A\cup B)}{N}\times100=\frac{346}{990}\times100\approx35.0\)
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35.0