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A bag contains 5 red marbles and 3 black...

A bag contains 5 red marbles and 3 black marbles. Three marbles are drawn one by one without replacement. What is the probability that at least one of three marbles drawn be black if the first marble is red?

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PRADEEP PUBLICATION-PROBABILITY-EXERCISE
  1. The probability of occurrence of an event A is 0.5 and that of B is 0....

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  2. If X is the numebr of tails in three tosses of a coin, determine the s...

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  3. A bag contains 5 red marbles and 3 black marbles. Three marbles are dr...

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  4. Three dice are thrown at the same time. Find the probability of gettin...

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  5. Four cards are successively drawn without replacement from a deck of 5...

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  6. A die is thrown 5 times. Find the probability that an odd number will ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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