The data in the table below summarize results from 173173 pedestrian deaths that
ID: 2931155 • Letter: T
Question
The data in the table below summarize results from
173173
pedestrian deaths that were caused by accidents. If two different deaths are randomly selected without replacement, find the probability that they both involved intoxicated drivers. Is such an event unlikely?
Pedestrian Intoxicated?
Yes
No
Driver
Yes
1414
2424
Intoxicated?
No
8282
5353
The probability is
nothing .
(Round to three decimal places as needed.)
Pedestrian Intoxicated?
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No
Driver
Yes
1414
2424
Intoxicated?
No
8282
5353
Explanation / Answer
The probability that the first death was caused by an intoxicated driver = (14 + 24) / 173 = 38 / 173
The probability that the second death was caused by an intoxicated driver given that the first was caused by an intoxicated driver = (14 + 24 - 1) / (173 - 1) = 37 / 172
=> Probability that both drivers were intoxicated = 38/173 * 37/172 = 0.0473.
Since the value is less than 0.05, the event is unlikely.
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