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For any two events A and B, prove that ...

For any two events A and B, prove that
`P[(A cap overline(B))cup(B cap overline(A))]=P(A)+P(B)-2P(A capB)`.

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ML KHANNA-PROBABILITY-Self Assessment Test
  1. On a toss of two dice, A throws a total of 5, then the probability tha...

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  2. A pair of unbiased dice are rolled together till a sum of either 5 or ...

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  3. For any two events A and B, prove that P[(A cap overline(B))cup(B ca...

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  4. If P(B)=(1)/(4),p(overset(-)A cap B cap overset(-)C )=(1)/(3),P(A cap ...

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  5. If the events A and B are independent, then P(AcapB) is equal to

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  6. If A and B are mutually exclusive events, then P(A cap B) equals

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  7. If A and B are suchg that events that P(A)gt0andP(B)ne1, then P(A'//B'...

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  8. P(A cup B)=P(A cap B) if and only if the relation between P(A) and P(B...

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  9. If A and B are arbitrary events, then

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  10. If A and B are arbitrary events, then a) P(A nn B) ge P(A)+ P(B) (b) ...

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  11. For two given event A and B, P(AcapB) is

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  12. If M and N are any two events, the probability that the exactly one of...

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  13. If E and F are independent events such that 0ltP(E)lt1 and 0ltP(F)lt1,...

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  14. E and F are two independent events. The probability that both e and F ...

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  15. If A and B are mutually exclusive events,thenP(AuuB)=

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  16. If A and B are two independent events in a sample space then P(overlin...

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  17. For any two events A and B in a sample space

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  18. The probabilities of three mutually exclusive events A,B,C are : P(A)=...

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  19. The probability that at least one of the events A and B occurs is 0.7 ...

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  20. If 0 lt P(A) lt 1, 0 lt P(B) lt 1 and P(A cup B)=P(A)+P(B)-P(A)P(B), ...

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