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Prove that P(AcupB)=P(AcapB)+P(AcapbarB)...

Prove that `P(AcupB)=P(AcapB)+P(AcapbarB)+P(barAcapB)`, where A and B are any two events associated with an experiment.

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PRADEEP PUBLICATION-PROBABILITY-EXERCISE
  1. A die is thrown 5 times. Find the probability that an odd number will ...

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  2. Prove that P(A)=P(AcupB)+P(AcapB), where A and B are any two events as...

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  3. Prove that P(AcupB)=P(AcapB)+P(AcapbarB)+P(barAcapB), where A and B ar...

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  4. A box has 5 blue and 4 red balls. One ball is drawn and not replaced. ...

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  5. If P(A)=2/5, P( C)=1/2 and P(AcapC)=1/5 then find P(A'capC').

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  6. Find k, if the probability distribution of a random variable X is as f...

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  7. Find the mean of the following probability distribution of a random va...

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  8. For a Binomial disribution mean is 5 and the number of trials is 50, f...

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  9. For a random variable X, sumX^2 P(X)=48.25 and mean =6.5 find the vari...

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  10. For a random variable X, sumXP(X)=1.5, find the mean of probability di...

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  11. A bag contains 3 white and 5 black balls. A ball is drawn at random. F...

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  12. For a random variable X, the variance of 6.25 and the mean is 6. find ...

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  13. If E1 and E2 are independent events and P(E1)=rho1, P(E2)=rho2 then fi...

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  14. If E1 and E2 are independent events and P(E1)=rho1, P(E2)=rho2 then fi...

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  15. A coin is tossed twice. Let X denotes of the number of times 'head' tu...

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  16. A and B are two candidates seeking admission in a college. The probabi...

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  17. Two dice are thrown together. Let A be the event 'getting 6 on the fir...

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  18. Explain why the experiment of tossing a coin three times is said to h...

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  19. In a dice game, a player pays a stake of Rs.1 for each throw of the di...

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  20. A die is thrown thrice. Let X be 'the number of two's seen'. Find expe...

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