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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 GUJARATI-PROBABILITY-EXERCISE 3.1
  1. Given that E and F are events such that P(E) = 0.6, P(F) = 0.3 and P(...

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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 (i) 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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  5. If P(A)=(6)/(11), P(B)=(5)/(11) amd P(A cup B)=(7)/(11), find (i) P(...

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  6. Determine P(E|F) A coin is tossed three times, where (i) E : head...

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  7. Determine P(E|F) Two coins are tossed once, where (i) E : tail ap...

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  8. Determine P(E|F) A die is thrown three times, E : 4 appears on th...

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  9. Determine P(E|F) Mother, father and son line up at random for a fami...

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  10. A black and a red dice are rolled. (a) Find the conditional probabi...

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  11. A fair die is rolled. Consider events E = {1,3,5}, F = {2,3} and G = {...

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  12. Assume that each born child is equally likely to be a boy or a girl. I...

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  13. An instructor has a question bank consisting of 300 easy "True" // "Fa...

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  14. Given that the two numbers appearing on throwing two dice are differen...

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  15. Consider the experiment of throwing a die, if a multiple of 3 comes up...

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  16. Choose the correct answer If P(A)=(1)/(2), P(B) = 0, then P(A|B) is

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  17. Choose the correct answer If A and B are events such that P(A|B) = P...

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