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A bag X contains 4 white balls and 2 bla...

A bag X contains 4 white balls and 2 black balls, while another bag Y contains 3 white balls and 3 black balls. Two balls are drawn (without replacement) at random from one of the bags and were found to be one white and one black. Find the probability that the balls were drawn from bag Y.

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MODERN PUBLICATION-PROBABILITY-EXERCISE
  1. A bag X contains 4 white balls and 2 black balls, while another bag Y ...

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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) =7/13 , P (B) =9/13 and P (A cap B) =4/13 , evaluate P (A|B)

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  4. If A and B are two events such that P(A)=1/4, P(B) =1/2 and P(Acap B) ...

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  5. If P(A)=0.8, P(B)=0.5 and P(B/A)=0.4, find : P(AnnB)

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  6. If P(A)=0.8, P(B)=0.5 and P(B//A)=0.4, find (i) P(AnnB) (ii) P(A//...

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  7. If P(A)=0.8, P(B)=0.5 and P(B//A)=0.4, find (i) P(AnnB) (ii) P(A//...

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  8. If P(A)=0.3, P(B)=0.6 and P(B//A)=0.5 , find P(A//B) .

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  9. If P(A) = 6/11 , P(B) = 5/11 and P(A cup B) = 7/11 find: P(AcapB)

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  10. If P(A) = 6/11 , P(B) = 5/11 and P(A cup B) = 7/11 find: P(A|B)

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

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  12. If P(A)=0.6, P(B)=0.7 and P(AuuB)=0.9, then find P(A/B) and P(B/A)

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  13. Determine P(E|F) if A coin is tossed three times, where : E : head on ...

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  14. Determine P(E|F) if A coin is tossed three times, where : E : at leas...

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  15. Determine P(E|F) : if A coin is tossed three times, where : E : at mo...

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  16. A die is thrown three times : E : 4 appears on the third toss . F ...

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

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  18. A black and a red dice are rolled :Find the conditional probability of...

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  19. A black and a red dice are rolled: Find the conditional probability of...

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  20. Let E and F be events with P(E)=3/5, P(F)=3/10 and P (E cap F)=1/5. Ar...

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

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