Home
Class 12
MATHS
If three events A,B,C are mutually exclu...

If three events A,B,C are mutually exclusive, then which one of the following is correct?

A

P (Exactly two of A, B and C occur)
`leP(AnnB)+P(BnnC)+P(CnnA)`

B

`P(AuuBuuC)leP(A)+P(B)+P(C)`

C

P (Exactly one of A, B and C occur)
`leP(A)+P(B)+P(C)-P(BnnC)-P(CnnA)-P(AnnB)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY-1

    DISHA PUBLICATION|Exercise EXERCISE-1 : CONCEPT BUILDER|180 Videos
  • PROBABILITY-1

    DISHA PUBLICATION|Exercise EXERCISE-1 : CONCEPT BUILDER|180 Videos
  • PROBABILITY -2

    DISHA PUBLICATION|Exercise EXERCISE - 2 : CONCEPT APPLICATOR|30 Videos
  • RELATIONS AND FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE - 2|30 Videos

Similar Questions

Explore conceptually related problems

Mutually exclusive events

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

If A and B are mutually exclusive events, then

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

mutually exclusive and exhaustive events

If A and B are independent events such that 0ltP(A)lt1 and 0ltP(B)lt1 , then which of the following is not correct? (A) A and B are mutually exclusive (B) A and B' are independent (C) A' and B are independent (D) A' and B' are independent

If A and B are mutually exclusive events in a sample space S, then

DISHA PUBLICATION-PROBABILITY-1-EXERCISE-2 : CONCEPT APPLICATOR
  1. If two numbers p and q are choosen randomly from the set {1, 2, 3, 4} ...

    Text Solution

    |

  2. A natural number x is chosen at random from the first 100 natural numb...

    Text Solution

    |

  3. If two dice are thrown simultaneously, then the probability that the s...

    Text Solution

    |

  4. Given that n is odd, number of ways in which three numbers in AP can b...

    Text Solution

    |

  5. A fair coin is tossed 2n times. The probability of getting as many hea...

    Text Solution

    |

  6. A bag contains 8 red and 7 black balls. Two balls are drawn at random....

    Text Solution

    |

  7. If A and B are any two events such that P(A uu B) = 3/4, P(A nn B) =...

    Text Solution

    |

  8. Let A ,B ,C be three events. If the probability of occurring exactly o...

    Text Solution

    |

  9. A die is thrown. Let A be the event that the number obtained is gre...

    Text Solution

    |

  10. Card is drawn from a pack of 52 cards. A persons bets that it is a spa...

    Text Solution

    |

  11. If P(AnnB)=1/2,P( A nn B )=1/3, P(A)=p , P(B)=2p , then find the ...

    Text Solution

    |

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

    Text Solution

    |

  13. An exeriment yield 3 mutually exclusive and exhaustive events A,B, an...

    Text Solution

    |

  14. A point is selected at random from the interior of a circle. The proba...

    Text Solution

    |

  15. If P (A) = P (B) = x and P(AnnB)=P(A'nnB')=1//3, then x = ?

    Text Solution

    |

  16. The probability that a police inspector Ravi will catch a thief in a d...

    Text Solution

    |

  17. Given two events A and B. If odds against A are 2 : 1 and those in fov...

    Text Solution

    |

  18. A natural number is chosen at random from the first 100 natural num...

    Text Solution

    |

  19. If P(A cup B)=0.8 and P(A cap B)=0.3, then P(A')+P(B') equals

    Text Solution

    |

  20. If three events A,B,C are mutually exclusive, then which one of the fo...

    Text Solution

    |