Which of this represents the multiplication theorem of probability?

Category: QuestionsWhich of this represents the multiplication theorem of probability?
Editor">Editor Staff asked 11 months ago

Which of this represents the multiplication theorem of probability?
 
(a) P(A∩B) = P(B) P(B/A)
 
(b) P(A∩B) = P(A) P(B/B)
 
(c) P(A∩B) = P(A) P(A/A)
 
(d) P(A∩B) = P(B) P(A/B)
 
I had been asked this question in my homework.
 
Asked question is from Multiplication Theorem on Probability in division Probability of Mathematics – Class 12
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1 Answers
Editor">Editor Staff answered 11 months ago

The correct answer is (d) P(A∩B) = P(B) P(A/B)
 
To elaborate: The multiplication theorem of probability is If A and B are two events of a random experiment with P(A) > 0 and P(B) > 0, then P(A∩B) = P(A) P(B/A) or P(A∩B) = P(B) P(A/B).