Home
Class 12
MATHS
If A and B are two events such that P(A)...

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 ………..

A

`(1)/(12)`

B

`(3)/(4)`

C

`(1)/(4)`

D

`(3)/(16)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (True/False) |10 Videos
  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Fillers) |5 Videos
  • PROBABILITY

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

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') = ………..

You are given that A and B are two events such that P(B)= (3)/(5), P(A//B)= (1)/(2) and P(A cup B)= (4)/(5) then P(A) equal …….

If A and B are two events such that P(A) = (5)/(8), P(B) = (3)/(8) and P(A cup B) = (3)/(4) then P(A | B) = ………..

You are given that A and B are two events such that P(B)= (3)/(5), P(A//B)= (1)/(2) and P(A cup B)= (4)/(5) then P(B//A') is equal to ………

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

If A and B are two events such that P(A) = (1)/(2), P(B)= (1)/(3) and P(Acap B)= (1)/(4) . Find : (i) P(A//B) (ii) P(B // A) (ii) P(A'//B) (iv) P(A'//B')

If A and B are two events such that P(A | B)= p, P(A) = p, P(B)= (1)/(3) and P(A cup B) = (5)/(9) then p = ……….

If A and B are two events such that P(AcupB)=(5)/(6),P(AnnB)=1/3, P(A)=(2)/(3), and P(B')=(1)/(2) , then A and B are

If A and B are two events such that P(A) =(1)/(4), P(B) = (1)/(2) and P(A cap B) = (1)/(8) , find P (not A and not B).

If A and B are two independent events, such that P(A)=(1)/(3) and P(B)=(1)/(4) .

KUMAR PRAKASHAN-PROBABILITY-Solutions of NCERT Exemplar Problems (Objective type Questions)
  1. If P(A)= (3)/(10), P(B)= (2)/(5) and P(A cup B)= (3)/(5) then P(A//B)...

    Text Solution

    |

  2. If P(A)= (2)/(5), P(B)= (3)/(10) and P(A cap B)= (1)/(5) , then P(A'//...

    Text Solution

    |

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

    Text Solution

    |

  4. If P(A)= 0.4, P(B)= 0.8 and P(B//A)= 0.6 then P(A cup B) is equal to …...

    Text Solution

    |

  5. If A and B are two events and A ne phi, B ne phi, then ………

    Text Solution

    |

  6. A and B are events such that P(A)= 0.4, P(B)= 0.3 and P(A cup B)= 0.5....

    Text Solution

    |

  7. You are given that A and B are two events such that P(B)= (3)/(5), P(A...

    Text Solution

    |

  8. You are given that A and B are two events such that P(B)= (3)/(5), P(A...

    Text Solution

    |

  9. If P(B)= (3)/(5), P(A//B)= (1)/(2) and P(A cup B)= (4)/(5) then P(A cu...

    Text Solution

    |

  10. If P(A) = (7)/(13) , P(B) = (9)/(13) and P(A cap B)= (4)/(13) then fi...

    Text Solution

    |

  11. If A and B are such events that P(A) gt 0 and P(B) ne 1, then P(A'//B'...

    Text Solution

    |

  12. If A and B are two independent events with P(A)= (3)/(5) and P(B)= (4)...

    Text Solution

    |

  13. If two events are independent, then ………

    Text Solution

    |

  14. Let A and B be two events such that P(A)= (3)/(8), P(B)= (5)/(8) and P...

    Text Solution

    |

  15. If the events A and B are independent, then P(A cap B) is equal to ……....

    Text Solution

    |

  16. Two events E and F are independent. If P(E ) = 0.3 and P(E cup F)= 0....

    Text Solution

    |

  17. A bag contains 5 red and 3 blue balls. If 3 balls are drawn at random ...

    Text Solution

    |

  18. A bag contains 5 red balls and 3 black marbles. Three balls are drawn ...

    Text Solution

    |

  19. Three persons A, B and C, fire at a target in turn starting with A. Th...

    Text Solution

    |

  20. Assume that in a family, each child is equally likely to be a boy or a...

    Text Solution

    |