Home
Class 12
MATHS
If the events A and B are mutually exclu...

If the events A and B are mutually exclusive events such that P(A) = `(3x + 1)/(3)` and P(B) = `(1 - x)/(4)`, then the set of possible real values of x lies in the interval

A

[0,1]

B

`[1/3, 2/9]`

C

`[-1/3,5/9]`

D

`[-7/9, 4/9]`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    MCGROW HILL PUBLICATION|Exercise Solved Examples (Level 1 Single Correct )|80 Videos

  • PROBABILITY

    MCGROW HILL PUBLICATION|Exercise Solved Examples (Level 2 straight Objective Correct )|14 Videos

  • PERMUTATIONS AND COMBINATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers |17 Videos

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|25 Videos

Similar Questions

Explore conceptually related problems

If A and B are mutually exclusive events, then

If the events A and B are mutually exclusive, then P( A/B) =

If A and B are mutually exclusive events,then P(AuuB)=

Events A, B, C are mutually exclusive events such that P(A)=(3x+1)/(3), P(B)=(1-x)/(4) " and " P(C )=(1-2x)/(2) . The set of all possible values of x are in the interval

If A, B are mutually exclusive events such that P(A) = 1/3 and P(B) = 1/2," then " P(A'cap B')=

If A and B are mutually exclusive events,then P(AuuB)= ……………..

If A, B are mutually exclusive events such that P(A cup B) = 5/6 and P(B) = 1/3," then " P(A')=

If A and B are two mutually exclusive events,then, P(A)+P(B)= .

MCGROW HILL PUBLICATION-PROBABILITY-Previous Years B-Architecture Entrance Examination Papers
  1. If the events A and B are mutually exclusive events such that P(A) = (...

    Text Solution

    |

  2. Two events A and B are such that P(B) = 0.55 and P(AB') = 0.15. The pr...

    Text Solution

    |

  3. A certain water-supply system consists of a source, three pumping stat...

    Text Solution

    |

  4. An urn contains four balls bearing numbers 1, 2, 3 and 123 respectivel...

    Text Solution

    |

  5. Three dice, red, blue and green in colour are rolled together. Let B b...

    Text Solution

    |

  6. Sets A,B,C AnnB,AnnC,BnnC and AnnBnnC have 35, 40, 45, 13, 12, 14 and ...

    Text Solution

    |

  7. A man is known to speak the truth 3 out of 4 times. He throws a dice ...

    Text Solution

    |

  8. if P(A)=0.4,P(B^('))=0.6 and P(AcapB)=0.15 then the value of P(A|A^(')...

    Text Solution

    |

  9. A class consists of 80 students, 25 of them are girls and 55 are boys....

    Text Solution

    |

  10. Let Aa n dB be two event such that P(AuuB)geq3//4 and 1//8lt=P(AnnB)lt...

    Text Solution

    |

  11. A biased coin with probability p, 0ltplt1 of heads is tossed until a h...

    Text Solution

    |

  12. If pa n dq are chosen randomly from the set {1,2,3,4,5,6,7,8,9, 10} wi...

    Text Solution

    |

  13. In a binomial distribution B(n , p=1/4) , if the probability of at lea...

    Text Solution

    |

  14. A box contains 4 white and 5 black balls. A ball is drawn at random an...

    Text Solution

    |

  15. If A and B are two independent events such that P(A) = 3/10 and P(AuuB...

    Text Solution

    |

  16. A bag contains three coins, one of which has head on both sides, anoth...

    Text Solution

    |

  17. Two numbers are selected at random (without replacement) from first 7 ...

    Text Solution

    |

  18. A box contains 6 red balls and 2 black balls. Two balls are drawn at r...

    Text Solution

    |

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

    Text Solution

    |

  20. If for two events A and B, in a random experiment, P(A|B) = 4/5 and P(...

    Text Solution

    |

  21. A bag contains 8 white and 6 black balls. A ball is drawn at random fr...

    Text Solution

    |