Question

If A and B are independent events with P(A) = .38 and P(B) = .55, then P(A | B) =

Answer 1

ANSWER :–

p(A/B) = 0.38

EXPLANATION :–

GIVEN :–

• A and B are independent events.

• p(A) = 0.38 and p(B) = 0.55

TO FIND :–

Value of conditional probability [P(A/B)]

SOLUTION :–

● CONDITIONAL PROBABILITY :–

The probability of an event occurring when other event occurred called conditional probability.

• it's denoted by P(A/B) or P(A | B)

• FORMULA :–

P(A/B) = P(A⋂B)/P(B)

● INDEPENDENT EVENTS :–

The occurrence of one event does not effect the probability of occurrence of other even is called independent events .

• FORMULA :–

P(A⋂B) = P(A).P(B)

• According to the question –

=> P(A/B) = [P(A).P(B)]/P(B)

=> P(A/B) = P(A)

=> P(A/B) = 0.38