Given P(A) = 0.45, P(B) = 0.30, P(A and B) = 0.05. Find P(A|B).
A) 0.45
B) 0.135
C) 0.30
D) 0.111
E) 0.167

Name: Given P(A) = 0.45, P(B) = 0.30, P(A and B) = 0.05. Find P(A|B). A) 0.45 B) 0.135 C) 0.30 D) 0.111 E) 0.167
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Question

Quizplus · Accepted Answer

We can use the formula for conditional probability:

P(A|B) = P(A and B) / P(B)

Substituting the given values:

P(A|B) = 0.05 / 0.30

P(A|B) = 0.1667

Rounding to three decimal places, the answer is E) 0.167.