Events P and Q are independent if P(A∩B) = P(A) P(B).

Category: QuestionsEvents P and Q are independent if P(A∩B) = P(A) P(B).
Editor">Editor Staff asked 11 months ago

Events P and Q are independent if P(A∩B) = P(A) P(B).
 
(a) False
 
(b) True
 
I got this question in quiz.
 
The question is from Probability topic in section Probability of Mathematics – Class 12
NCERT Solutions for Subject Clas 12 Math Select the correct answer from above options 
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1 Answers
Editor">Editor Staff answered 11 months ago

Correct answer is (b) True
 
The best I can explain: According to the definition of independent events,
 
P(A/B) = P(A)
 
P(A ∩ B) ⁄ P(B) = P(A) or P(A ∩ B) = P(A) P(B). Here, P(B) ≠ 0.