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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 atleast one of the three marbles drawn be black, if the first marble is red ?

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The correct Answer is:
`(25)/(56)`
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KUMAR PRAKASHAN-PROBABILITY-Solutions of NCERT Exemplar Problems (Short Answer Type Questions)
  1. For a loaded die, the probabilities of outcomes are given as under : ...

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  2. The probability that atleast one of the two events A and B occurs is 0...

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

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  4. Two dice are thrown together and the total score is noted. The events ...

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  5. Explain why the experiment of tossing a coin three times is said to ha...

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  6. If A and B are two events such that P(A) = (1)/(2), P(B)= (1)/(3) and ...

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  7. Three events A, B and C have probabilities (2)/(5), (1)/(3) and (1)/(...

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  8. Let E(1) and E(2) be two independent events such that P(E(1)) = P(1) a...

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  9. A discrete random variable X has the probability distribution given as...

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  10. Prove that, P(A)=P(A cap B) +P(A cap barB)

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  11. Prove that P(A cup B) = P(A cap B)+P(A cap barB)+P(barA cap B)

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  12. If X is the number of tails in three tosses of a coin, determine the s...

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  13. In a dice game, a player pays a stake of ₹ 1 for each throw of a die. ...

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  14. Three dice are thrown at the sametime. Find the probability of getting...

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  15. Suppose 10,000 tickets are sold in a lottery each for ₹ 1. First prize...

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  16. A bag contains 4 white and 5 black balls. Another bag contains 9 white...

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  17. Bag-I contains 3 black and 2 white balls, Bag-II contains 2 black and ...

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  18. A box has 5 blue and 4 red balls. One ball is drawn at random and not ...

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

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  20. If a die is thrown 5 times. Then find the probability that an odd numb...

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