During a study of auto accidents, the highway safety council found that 60% of all accidents occur at night 52% are alcohol related and 37% occur at night and are alcohol related. (a) What is the probability that an accident was alcohol related given that it occurred at night? (b) What is the probability that an accident occured at night given that it was alcohol related.
2 answers

It would help if you proofread your questions before you posted theme.e., "60% of all accidents occur at night 52% are alcohol related and 37% occur at night and are alcohol related".

N = probability of accidents that happens at night
A = " " " that are alcohol related
P(N) = 0.6, P(A) = 0.52 and P(AnN) = 0.37
P(A/N) = P(AnN)/p(N) = 0.37/ 0.52 = 0.71
P(N/A) = P(AnN)/p(A) = 0.37/0.6 = 0.61