Home
Class 11
MATHS
A,B,C,D are mutually exclusive and exhau...

A,B,C,D are mutually exclusive and exhaustive events if `P(A)=(1)/(2),P(B)=(1)/(4),P©=(1)/(8)`.What is P(D)?

A

`(1)/(64)`

B

`(1)/(32)`

C

`(1)/(8)`

D

`(1)/(12)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO PROBABILITY THEORY

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (ANSWER THE FOLLOWING QUESTIONS)|20 Videos
  • INTEGRAL CALCULUS

    PREMIERS PUBLISHERS|Exercise PROBLEM FOR PRACTICE (MCQ)|42 Videos
  • MATRICES AND DETERMINANTS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE .(II CHOOSE THE CORRECT OPTION FROM THE FOLLOWING)|46 Videos

Similar Questions

Explore conceptually related problems

Let A,B,C be any three mutually exclusive and exhaustive events such that P(B)=(3)/(2)P(A) and P(C)=(1)/(2)P(B) . Find P(A) .

If A and B are mutually exclusive events then P(AcapB)= ___.

Ia A and B are mutually exclusive, given P(AcupB)=(3)/(5), P(A)=(1)/(2) then P(B) is:

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

PREMIERS PUBLISHERS-INTRODUCTION TO PROBABILITY THEORY-PROBLEMS FOR PRACTICE (Choose the correct option for the following)
  1. Let A and B are two events such that P(bar(AcupB))=(1)/(6),P(AcapB)=(1...

    Text Solution

    |

  2. When a pair of balanced dice are rolled .What are the probability of ...

    Text Solution

    |

  3. A,B,C,D are mutually exclusive and exhaustive events if P(A)=(1)/(2),P...

    Text Solution

    |

  4. An urn contains 3 white, 4 red and 5 black balls. Two balls are drawn ...

    Text Solution

    |

  5. 4 mangoes and 3 apples are in a box. If two fruits are drawn at random...

    Text Solution

    |

  6. Out of 10 outstanding students is a school there are 6 girls and 4 boy...

    Text Solution

    |

  7. Given that P(A)=0.35,P(B)=0.73 and P(AcapB)=0.14, find P(barAcupbarB)-...

    Text Solution

    |

  8. A card is drawn at random from a well shuffled pack of 52 cards. Find ...

    Text Solution

    |

  9. The probability that a student will get a pass mark in mathematics is ...

    Text Solution

    |

  10. The probability of an event A occur is 0.6 and B occuring is 0.3. If A...

    Text Solution

    |

  11. If P(A)=0.4,P(B)=0.5,P(AcapB)=0.25,find P(A//barB) is:

    Text Solution

    |

  12. A coin is tossed twice .Events E and F are defined as follows E=Head o...

    Text Solution

    |

  13. A problem is given to three students A,B,C then probability of solving...

    Text Solution

    |

  14. If two events A and B, P(A)=(2)/(5),P(B)=(3)/(4) and AcupB is the simp...

    Text Solution

    |

  15. P(AcupB)=0.6,P(A)=0.2,find P(B) given that A and B are independent:

    Text Solution

    |

  16. If P(A)=0.45,P(AcupB)=0.75 and P(B//A)=0.5, findP(B):

    Text Solution

    |

  17. A letter is taken at random from the letters of the word GANGA" and an...

    Text Solution

    |

  18. A number x is chosen at random from the first 100 natural numbers. Let...

    Text Solution

    |

  19. If a and b are chosen randomly from the set {2,3,4,5} with replacement...

    Text Solution

    |

  20. Ten coins are tossed. The probability of getting at least 4 heads is:

    Text Solution

    |