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A fair die is rolled. Consider events E ...

A fair die is rolled. Consider events E = {1,3,5}, F = {2,3} and G = {2,3,4,5} Find
(i) P(E|F) and P(F|E) (ii) P(E|G) and P(G|E)
(iii) `P((E cup F)|G)` and `P((E cap F)|G)`

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Verified by Experts

The correct Answer is:
(i) `(1)/(2), (1)/(3)`, (ii) `(1)/(2), (2)/(3)` , (iii) `(3)/(4), (1)/(4)`
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NCERT BANGLISH-PROBABILITY-EXERCISE 3.1
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  2. Compute P(A|B), if P(B) = 0.5 and P(A cap B) = 0.32

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  3. If P(A) = 0.8, P(B) = 0.5 and P (B|A) = 0.4, find P(A cap B)

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  4. Evaluate P(A cup B), if 2P(A) = P(B) =(5)/(13) and P(A|B)=(2)/(5).

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