Question

Use the data in the following table, which summarizes results from 179 pedestrian deaths that were caused by accidents. If two different deaths are randomly selected without replacement, find the probability that they both involved intoxicated driver.
Pedestrian Intoxicated
Yes No
Driver Yes 96 40
Intoxicated No 31 12

Answer 1

Total pedestrian deaths = 179

Total number of deaths that involved intoxicated driver = 96 + 40 = 136

Two accidents are randomly selected without replacement, thus;

Probability = desired outcome / total number of outcome

Probability = (136/179) x (135/178) = 0.7597x0.7584 = 0.5761