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If A,B are two events, then show that ...

If A,B are two events, then show that
`P((A)/(B))P(B)+P((A)/(B^(C)))P(B^(C))=P(A).`

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The correct Answer is:
`=P(A).`
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-PROBABILITY-Exercise -9 ( c)
  1. There are 3 black and 4 white balls in one bag. 4 black and 3 white ba...

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  2. A,B,C are aiming to shoot a balloon. A will succeed 4 times out of 5 a...

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  3. If A,B are two events, then show that P((A)/(B))P(B)+P((A)/(B^(C)))P...

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  4. A pair of dice are rolled.What is the probability that they sum of 7, ...

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  5. A pair of dice are rolled. What is the probability that neither die sh...

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  6. An urn contains 12 red balls and 12 green balls. Suppose two balls are...

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  7. A single die is rolled twice in succession. What is the probability th...

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  8. If one card is drawn at random from a pack of cards then show that eve...

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  9. The probability that a boy A will get a scholarship is 0.9 and that an...

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  10. If A,B, are two events with P(AcupB)=0.65, and P(AcapB)=0.15, then fi...

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  11. If A,B,C are independent events, shows that AcupBandC are also a indep...

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  12. A and B are two independent events such that the probability of the bo...

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  13. A fair die is rolled. Consider the events. A={1,3,5},B={2,3} and C =...

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  14. If A,B,C are three events in a random experiment, Prove the following....

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  15. If A,B,C are three events in a random experiment, Prove the following....

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  16. If A,B,C are three events in a random experiment, Prove the following....

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  17. If A,B,C are three events in a random experiment, Prove the following....

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  18. If A,B are mutually exclusive and P(B)gt0 " then "P((A)/(B))=0.

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  19. If A,B, are ,mutually exclusive then P(A//B^(C))=(p(A))/(1-P(B))," w...

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  20. If A,B are mutually exclusive and P(AcupB)ne0 then p((A)/(AcupB))=(P...

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