Given below are two statements. STATEMENT - 1: For events A and B of sample space if P (…
Mathematics · JEE Main · NTA Exams — Statistics and Probability
Given below are two statements.
STATEMENT - 1: For events A and B of sample space if \(P\left(\frac{A}{E}\right) \geq P(A)\) then \(P\left(\frac{B}{A}\right) \geq P(B)\)
STATEMENT - 2: \(P\left(\frac{A}{B}\right)=\frac{P(A \cap B)}{P(B)},(P(B) \neq 0)\)
In the light of the above statements, choose the correct answer from the options given below:
- Both the statements are true and Statement - 2 is the correct explanation for Statement - 1
- Both the statements are true but Statement - 2 is not the correct explanation for Statement - 1
- Statement - 1 is true and Statement - 2 is false
- Statement - 1 is false and Statement - 2 is true
Answer
(D) Statement - 1 is false and Statement - 2 is true
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