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True or false If E1, E2,………..,En are mut...

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If `E_1, E_2,………..,E_n` are mutually exclusive events associated with an experiment and E is any event associated with the same experiment , then `P(E)=underset(i=1)oversetnsum P(E/E_i)P(E_i)`.

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PRADEEP PUBLICATION-PROBABILITY-EXERCISE
  1. True or false If A and B are two events such that P(A)>0 and P(A)+P(B)...

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  2. True or false Three events A,B,C are independent if P(AcapBcapC)=P(A)P...

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  3. True or false If E1, E2,………..,En are mutually exclusive events associa...

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  4. True or false If A and B are independent then P(exacttly one of A and ...

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  5. One of the condition of Bernoulli trials is that the trails are indepe...

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  6. True or false When a fair dice is rolled once, then the mean of the ra...

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  7. Find the mean number of heads in three tosses of a fair coin.

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  8. True or false If A, B and C are three independent events such that P(A...

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  9. True or false If a coin is tossed 5 times and X denote the number of h...

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  10. True or false Mean and variance of a binomial distribution are respect...

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  11. Match the statement in column I with those given in column II.

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  12. Events A and B associated with an experiment are said to be independen...

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  13. Events A and B are said to be mutually exclusive iff

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  14. If A and B are independent events then which of the following is not t...

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  15. Let A and B be two events. If P(A)=0.6, P(B)=0.2, P(A/B)=0.5, then P(A...

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  16. If P(A)=3/10, P(B)=2/5 then P(AcupB)=3/5, then P(B/A)+P(A/B) equals

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  17. The event A and B are independent if

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  18. For a biased dice, the probabilities of the different faces to turn up...

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  19. If P(A)=2/5, P(B)=3/10 and P(AcapB)=1/5, then P(A'/B')+P(B'/A') is equ...

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  20. If P(A) = 0.4, P(B)=0.8 and P(B/A)=0.6 then P(AcupB)=.

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