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If A and B are two events such that `AsubB`and `P(B)!=0,`them which of the following is correct?(A) `P(A | B) =(P(B))/(P(A)` (B) `P(A|B)ltP(A)` (C) `P
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If A and B are two events such that `AsubB`and...
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Nov 13, 2021
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JackTerrance
If A and B are two events such that A⊂Band P(B)≠0,them which of the following is correct?(A) P(A∣B)= P(B) P(A) (B) P(A∣B)<P(A) (C) P(A∣B)≥P(B) (D) none of these Select the correct answer from above options
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Nov 13, 2021
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JackTerrance
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As, we are given that A⊂B, it means P(A∩B)=P(A) Then, P(A∣B)= P(A∩B) P(B) = P(A) P(B) so, option A is incorect. Now, we are given that, P(B)≠0 means P(B)≤1
If P(B)≤1, then it implies, P(A∣B)≥P(A) which is the correct option.
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