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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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The correct Answer is:
`(1)/(2)` and `(2)/(3)`
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KUMAR PRAKASHAN-PROBABILITY-EXERCISE -13.1
  1. Evaluate P(A cup B), if 2P(A) = P(B)=(5)/(13) and P(A|B)=(2)/(5)

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

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

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  4. Determine P(E|F) A coin is tossed three times, where E : at least...

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  5. Determine P(E|F) A coin is tossed three times, where E : at most ...

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  6. Determine P(E|F) Two coins are tossed once, where E : tail appears...

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  7. Determine P(E|F) Two coins are tossed once, where E : no tail appe...

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

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

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

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

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

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

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

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  17. Given that the two numbers appearing on throwing two dice are differe...

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

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

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

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