The conditional probability of event B occurring, given that event A has occurre

Question

The conditional probability of event B occurring, given that event A has occurred, is

Upper P left parenthesis Upper B vertical line Upper A right parenthesis equals StartFraction Upper P left parenthesis Upper A and Upper B right parenthesis Over Upper P left parenthesis Upper A right parenthesis EndFraction

.

Use the information below to find the probability that a flight departed on time given that it arrives on time.

The probability that an airplane flight departs on time is

0.91

.

The probability that a flight arrives on time is

0.86

.

The probability that a flight departs and arrives on time is

0.83

.

Explanation / Answer

probability that a flight departed on time given that it arrives on time

=P(flight departs and arrives on time)/P(arrives on time ) =0.83/0.86=0.9651

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