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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}
i. Find P(E|F), and P(F|E)
ii. P(E|G) and P(G|E)
iii. `P (EuuF)|G)` and `P((EnnF}|G)`

Text Solution

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The correct Answer is:
i. `(1)/(3)`, ii. `(2)/(3)` and iii. `(1)/(4)`
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NEW JOYTHI PUBLICATION-PROBABILITY-SOLUTIONS TO NCERT TEXT BOOK EXERCISE 13.1
  1. Given that E and F are events such that P(E)= 0.6, P(F) = 0.3 and P(En...

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  2. Compute P(A|B), if P(B) = 0.5 and P(AnnB) = 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 nnB) ii. P(A...

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  4. Evaluate P(A uu B) If 2 P(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) and P(A uu B) =(7)/(11) find i....

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

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

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  8. A die is thrown three times, A:4 appears on the third toss, B: 6 an...

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  9. Mother, father and son line up at random for a family picture E: son...

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  10. A black and red dice are rolled. a. Find the conditional probabilit...

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

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

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  13. An instructor has a question bank consisting of 300 easy True/False qu...

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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 3 comes up, t...

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

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  17. If A and B are events such that P(A|B)= P(B|A), then

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