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Prove that A and B are independent event...

Prove that A and B are independent events if and only if `P((A)/(B))=P((A)/(B^(C)))`

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`P((A)/(B))=P((A)/(B^c))`
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-PROBABILITY-Exercise -9 ( c)
  1. A and B are two independent events such that the probability of the bo...

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

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

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

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

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

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

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

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

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  10. Suppose that a coin is tossed three times. Let A be "getting three hea...

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  11. Suppose that an unbaised pair of dice is rolled. Let A denote the even...

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  12. Prove that A and B are independent events if and only if P((A)/(B))=P(...

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  13. Suppose A and B are independent events with P(A)=0.6, P(B)=0.7 then co...

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  14. The probability that Australia wins a match against India in a cricket...

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  15. A person secures a job in a construction company in which the probabi...

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  16. For any two events A,B shows that P(AcapB)-P(A)P(B)=P(A^(C))P(B)-P(A...

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  17. Three Urns have the following composition of balls. Urn I : 1 white,...

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  18. In a shooting test the probability of A,B,C hitting the targets are (1...

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  19. In a certain college, 25% of the boys and 10% of the girls are studyin...

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  20. 4 A person is known to speak truth 2 out of 3 times. He throws a die a...

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