Home
Class 12
MATHS
The probability of A = probability of B ...

The probability of A = probability of B = probability of C = 1/4, `P(A cap B) = P(C cap B) = 0` and `P(A cap C)` = 1/8, then `P(A cap B cap C)` =

A

5/18

B

37/64

C

3/4

D

1

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PERMUTATION AND COMBINATIONS

    HIMALAYA PUBLICATION|Exercise Question Bank|104 Videos

  • PROGRESSIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|97 Videos

Similar Questions

Explore conceptually related problems

If P(A) =4/5 and P(A cap B) = 7/10 then P(B/A) =

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

If P(A) = 0.4, P(B) = 0.8 and P(B|A) = 0.6 then P(A cup B) =

If P(A cup B) = 0.8, P(A cap B) = 0.3, then P (bar(A)) + P (bar (B)) =

If P(A) = P(B) = x and P(A cap B) = P(A^(') cap B^(')) = 1/3 then x =

If P(A) = 0.8, P(B) = 0.5 and P(B|A) =0.4 then find P(A cap B) .

P(B) = 3/4 , P(bar(A) cap B cap bar(C )) = 1/3 . P (A cap B cap bar (C )) = 1/3 then P (B cap C) :

HIMALAYA PUBLICATION-PROBABILITY-QUESTION BANK
  1. The probability that atleast one of the events A and B occur is 0.6. I...

    Text Solution

    |

  2. n persons sit on a round tabler against two specified persons sitting ...

    Text Solution

    |

  3. The probability of A = probability of B = probability of C = 1/4, P(A ...

    Text Solution

    |

  4. It is known that a probability of a man aged 25 years to survive one m...

    Text Solution

    |

  5. The probability distribution of a discrete random variable X is given ...

    Text Solution

    |

  6. In a non - leap year the probability of getting 53 Sundays or 53 Tu...

    Text Solution

    |

  7. The probability for a randomly chosen month to have its 10th day as Su...

    Text Solution

    |

  8. If P(A) = 2/3, P(B) =1/2 and P(A cup B) = 7/6 then events A and B are

    Text Solution

    |

  9. A coin is tossed n times. The probability of getting exactly six heads...

    Text Solution

    |

  10. A five digit number is formed by writing the digits 1,2,3,4,5 in a ran...

    Text Solution

    |

  11. The probability that in a year of the 22^(nd) century chosen at random...

    Text Solution

    |

  12. India plays two matches each with Australia and Pakistan. The probabil...

    Text Solution

    |

  13. For two independent events A and B, the probability that both A & B oc...

    Text Solution

    |

  14. An urn contains 9 balls two of which are red, three blue and four blac...

    Text Solution

    |

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

    Text Solution

    |

  16. A bag contains 3 black and 4 white balls. Two balls are drawn one by o...

    Text Solution

    |

  17. Two cards are drawn at randrom from a pack of 52 cards. The probabilit...

    Text Solution

    |

  18. If A and B are any two events, then the probability that exactly one o...

    Text Solution

    |

  19. The probability of a sure event is:

    Text Solution

    |

  20. A card is drawn at random from a well shuffled pack of 52 cards. The p...

    Text Solution

    |