Question

Would you add the intoxicated drivers & divide by the total? Thanks

The following table summarizes data on 1000 pedestrian deaths that were caused by accidents. If one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was intoxicated or the driver was intoxicated. Pedestrian intoxicated? Yes 57 265 Driver intoxicated? Yes No No 85 593 If one of the pedestrian deaths is randomly selected, the probability that the pedestrian was intoxicated or the driver was intoxicated is (Round to the nearest thousandth as needed.)

Answer 1

Answer :

We have that :

Total no.of pedestrian = 1000

Particulars	Pedestrian intoxicated(YES)	Pedestrian not intoxicated (NO)	Total
Driver intoxicated(YES)	57	85	142
Driver not intoxicated(NO)	265	593	858
Total	322	678	1000

Here we need to find the probability of that the pedestrian was intoxicated or the driver was intoxicated:

Formula is as follows :

P(P or D) = P(P) + P(D) - P(P and D)-------------------------> 1

Where P = pedestrian intoxicated

D = Driver intoxicated

From 1 ,

P(P or D) = 322 / 1000 + 142 / 1000 - 57 / 1000

= 0.322 + 0.142 - 0.057

= 0.407

P(P or D) = 0.407

i.e P(Pedestrian intoxicated or driver intoxicated) = 0.407