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A and B are mutually independent implies P(AIB) = P(A).

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If P(A)=P(A//B)=(1)/(4) and P(B//A)=(1)/(2) , check whether the following statements are true or false: (a) A and B are mutually independent and (b) P(A^(c )//B)=(3)/(4) .

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CENGAGE PUBLICATION-PROBABILITY-All Questions
  1. An urn contains 9 red, 7 white, and 4 black balls if two balls are dra...

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  2. A and B are two independent events such that P(A^C) = 0.7, P(B) = k an...

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  3. A and B are mutually independent implies P(AIB) = P(A).

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  4. The probability that at least one of the events Aa n dB occurs is 0.6....

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  5. For two given events Aa n dB ,P(AnnB)i s (a)not less than P(A)+P(B)...

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  6. The probabilities that a student passes in Mathematics,Physics and Che...

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  7. If P (E) = 0.05, what is the probability of ‘not E’?

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  8. India play two matches each with West Indies and Australia. In any ...

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  9. One hundred identical coins, each with probability 'p' of showing head...

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  10. The probability of India winning a test match against West Indies i...

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  11. An unbiased die with faced marked 1, 2, 3, 4, 5, and 6 is rolled four ...

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  12. For the three events A ,B, and C ,P (exactly one of the events A or B ...

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  13. A box contains 12 red and 6 white balls. Balls are drawn from the bag ...

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  14. Two numbers are selected randomly from the set S={1,2,3,4,5,6} without...

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  15. If the integers m and n are chosen at random between 1 and 100, then t...

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  16. If three distinct number are chosen randomly from the first 100 natura...

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  17. If P(B)=3//4, P(AnnBnnbarC)=1//3 and P( bar A nnBnn barC )=1//3, t h ...

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  18. Aa n dB are two independent events. C is event in which exactly one of...

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  19. Let Aa n dB be two event such that P(AuuB)geq3//4 and 1//8lt=P(AnnB)lt...

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  20. There are two red, two blue, two white, and certain number (greater th...

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