Home
Class 12
MATHS
If P(B)=(1)/(4),p(overset(-)A cap B cap ...

If `P(B)=(1)/(4),p(overset(-)A cap B cap overset(-)C )=(1)/(3),P(A cap B cap overset(-)C) =(1)/(3)`, Then `P(B cap C )` is

A

`1//12`

B

`3//4`

C

`5//12`

D

23//36`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (Comprehension)|1 Videos

  • PROBABILITY

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (Assertion / Reason)|1 Videos

  • PROBABILITY

    ML KHANNA|Exercise Problem Set (1) FILL IN THE BLANKS|17 Videos

  • PERMUTATIONS AND COMBINATIONS

    ML KHANNA|Exercise SELF ASSESSMENT TEST|20 Videos

  • PROGRESSIONS

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (ASSERTION/REASON) |1 Videos

Similar Questions

Explore conceptually related problems

If P(overset(-)(B))=(1)/(4),p(overset(-)A cap B cap overset(-)C )=(1)/(3),P(A cap B cap overset(-)C) =(1)/(3) , Then P(B cap C ) is

If P(B) =(3)/(4) P(A cap B cap overset(-)(c ))=(1)/(3) and P(overset(" "-)(A) cap B cap overset(-)(C ))=(1)/(3) , then P(B cap C) is equal to

If B cap C sube A , then (B-A) cap (C-A) is equal to

If P(A cap B)=(1)/(2), P(overline(A) cap overline(B))=(1)/(2) and 2P(A)=P(B)=p, then the value of p is equal to

If A and B are two events such that P(A cup B)=(3)/(4) P(A cap B)=(1)/(4) and P(overset(_)A)=(2)/(3) then what is P(B) equal to?

ML KHANNA-PROBABILITY-Self Assessment Test
  1. A pair of unbiased dice are rolled together till a sum of either 5 or ...

    Text Solution

    |

  2. For any two events A and B, prove that P[(A cap overline(B))cup(B ca...

    Text Solution

    |

  3. If P(B)=(1)/(4),p(overset(-)A cap B cap overset(-)C )=(1)/(3),P(A cap ...

    Text Solution

    |

  4. If the events A and B are independent, then P(AcapB) is equal to

    Text Solution

    |

  5. If A and B are mutually exclusive events, then P(A cap B) equals

    Text Solution

    |

  6. If A and B are suchg that events that P(A)gt0andP(B)ne1, then P(A'//B'...

    Text Solution

    |

  7. P(A cup B)=P(A cap B) if and only if the relation between P(A) and P(B...

    Text Solution

    |

  8. If A and B are arbitrary events, then

    Text Solution

    |

  9. If A and B are arbitrary events, then a) P(A nn B) ge P(A)+ P(B) (b) ...

    Text Solution

    |

  10. For two given event A and B, P(AcapB) is

    Text Solution

    |

  11. If M and N are any two events, the probability that the exactly one of...

    Text Solution

    |

  12. If E and F are independent events such that 0ltP(E)lt1 and 0ltP(F)lt1,...

    Text Solution

    |

  13. E and F are two independent events. The probability that both e and F ...

    Text Solution

    |

  14. If A and B are mutually exclusive events,thenP(AuuB)=

    Text Solution

    |

  15. If A and B are two independent events in a sample space then P(overlin...

    Text Solution

    |

  16. For any two events A and B in a sample space

    Text Solution

    |

  17. The probabilities of three mutually exclusive events A,B,C are : P(A)=...

    Text Solution

    |

  18. The probability that at least one of the events A and B occurs is 0.7 ...

    Text Solution

    |

  19. If 0 lt P(A) lt 1, 0 lt P(B) lt 1 and P(A cup B)=P(A)+P(B)-P(A)P(B), ...

    Text Solution

    |

  20. For the three events "A","B","andC","P"("e x a c t l yo n eo ft h ee v...

    Text Solution

    |