Home
Class 12
MATHS
Three events A, B and C have probabiliti...

Three events A, B and C have probabilities `(2)/(5), (1)/(3) ` and `(1)/(2)` respectively. Given that `P(A cap C)=(1)/(5), P(B cap C)=(1)/(4)` find the values of `P(C//B)` and `P(A' cap C')`.

Text Solution

Verified by Experts

The correct Answer is:
`(3)/(10)`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Long Answer Type Questions) |16 Videos

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Objective type Questions) |38 Videos

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Textbook Illustrations for Practice Work |37 Videos

  • MATRICES

    KUMAR PRAKASHAN|Exercise Practice Paper - 3 (Section - D)|1 Videos

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Practice Paper - 1 (Section - D)|2 Videos

Similar Questions

Explore conceptually related problems

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

If P(A cap B)= (1)/(12) and P(A' cap B')= (1)/(2) then P(A) + P(B) = .......

A and B are independent events. P(A' cap B)= (2)/(15) and P(A cap B')=(1)/(6) then find P(B).

A and B are independent events. Also P(A cap B)= (1)/(8) and P(A' cap B')=(3)/(8) then find P(A) and P(B).

If P(A cap B)= (7)/(10) and P(B)= (17)/(20) then P(A//B) equals = ………

If A and B are two independent events such that P(A cap B)= (3)/(25) and P(A' cap B)= (8)/(25) , then P(B)= ……….

If A and B are two events such that P(A)= (1)/(2), P(B)= (1)/(3) and P(A//B)= (1)/(4) then P(A' cap B') equals ………..

If A and B are two independent events then P(A cap B) = P(A)*P(B) .

If A and B are two events such that P(A) = (1)/(3), P(B) = (1)/(4) and P(A cap B) = (1)/(5) , then P(A' | B') = ………..

KUMAR PRAKASHAN-PROBABILITY-Solutions of NCERT Exemplar Problems (Short Answer Type Questions)
  1. Explain why the experiment of tossing a coin three times is said to ha...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. Ten coins are tossed. Then what is the probability of getting atleast ...

    Text Solution

    |

  18. The probability of a man hitting a target is 0.25. He shoots 7 times, ...

    Text Solution

    |

  19. A lot of 100 watches is known to have 10 defective watches. If 8 watch...

    Text Solution

    |

  20. Consider the probability distribution of a random variable X: Cal...

    Text Solution

    |