Home
Class 11
MATHS
If P(AcapB) = P(A'capB') = 1/2 and 2P(A)...

If `P(AcapB) = P(A'capB') = 1/2 and 2P(A) = P(B) = p, ` then p =

A

`1/2`

B

`2/3`

C

`1/4`

D

`1/3`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|239 Videos

  • CIRCLE AND CONICS

    MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQs|50 Videos

  • PROBABILITY DISTRIBUTIONS

    MARVEL PUBLICATION|Exercise MCQs|51 Videos

Similar Questions

Explore conceptually related problems

If P(Acup B) = 5/6, P(AcapB)=1/3 and P(B') = 1/3," then " P(A) =

If A and B are two events such that P(A uu B) + P(A nn B) = (7)/(8) and P(A) = 2P(B) , then P(A) =

If P(A) = 1/2, P(B) = 1/3 and P(A cap B) = 7/12," than " P (A'capB')=

If P(Acup B) = 23/60, P(AcapB)=1/5 and P(A')=2/3" then " P(B) =

If P(A) = 1/2 , P(B) = 1/3 , P( C) = 1/2 and P(AcapB)= P(BcapC) = P(CcapA) = 1/4 and P(AcapBcapC) = 1/8 , then the probability that at least one of them appears is

If P(A) = 3/7, P(B) = 1/2 and P(A'capB')=1//14 , then are A and B are mutually exclusive events?

If P(A) = 2/7 and P(B')=1/3 ," then " P(A') + P(B)=

If P(A') = 1/3, P(B) = 3/4and P(A cap B) = 1/2," than " P (A'capB')=

If 4P(A) = 6P(B) = 10P(AcapB)=1 , then P(B/A)

MARVEL PUBLICATION-PROBABILITY-MULTIPLE CHOICE QUESTIONS
  1. If A, B are independent events such that P(AcapB) = 1/6 and P(A'cap B'...

    Text Solution

    |

  2. If A, B are independent events such that P(A') = 7/10 and P(Acup B) = ...

    Text Solution

    |

  3. If P(AcapB) = P(A'capB') = 1/2 and 2P(A) = P(B) = p, then p =

    Text Solution

    |

  4. If A and B are independent events such that P(A ) = 0.30 and P(B) = 0....

    Text Solution

    |

  5. A die is tossed twice. The prbability of having a number greater than ...

    Text Solution

    |

  6. If P(A) = 1/4, P(B')=1/2 and P(Acup B) = 5/9 then P(A//B) =

    Text Solution

    |

  7. Two dice are thrown together. Find the probability that a multiple of ...

    Text Solution

    |

  8. If P(Acup B) = 0.6 and P(Acap B) = 0.2," then " P(A') + P(B')=

    Text Solution

    |

  9. A bog contains 5 white and 4 black balls, and another bag contains 4 w...

    Text Solution

    |

  10. Probabilities that A, B, C can hit a target are 1/3, 1/4, 1/5 respecti...

    Text Solution

    |

  11. An urn contains 5 blue and an unknown number x of red balls.Two balls ...

    Text Solution

    |

  12. If 9 boys and 5 girls sit in a row, then probability that 4 particular...

    Text Solution

    |

  13. A determinant is chosen at random from the set of all determinants of ...

    Text Solution

    |

  14. If E and F are independent events such that P(E cap F) = 1/12 and P(E'...

    Text Solution

    |

  15. A student appears for tests I, II and III. The student is successful i...

    Text Solution

    |

  16. Let A and B be two events such that P(A cap B')=0.20,P(A'cap B)=0.15, ...

    Text Solution

    |

  17. Suppose n ( >=3) persons are sitting in a row. Two of them are selecte...

    Text Solution

    |

  18. If A and B are any two events in a sample space S, then P(A cap B') + ...

    Text Solution

    |

  19. A six-faced dice is so biased that it is twice as likely to show an ...

    Text Solution

    |

  20. A die is thrown and the number turned up is taken as the value of 'c' ...

    Text Solution

    |