Home
Class 12
MATHS
If A, B, C are mutually exclusive and ex...

If `A, B, C` are mutually exclusive and exhaustive events associated to a random experiment, then write the value of `P(A)+P(B)+P(C)`

Text Solution

Verified by Experts

Given, `A, B, C` are mutually exclusive and exhaustive events

`P(AnnB)=P(BnnC)=P(AnnC)=P(AnnBnnC)=0`

`P(AuuBuuC)=1=P(A)+P(B)+P(C)`

`P(A)+P(B)+P(C)=1`

`(Answer)`
Promotional Banner

Topper's Solved these Questions

  • MEAN VALUE THEOREMS

    RD SHARMA|Exercise Solved Examples And Exercises|110 Videos

  • RELATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|197 Videos

Similar Questions

Explore conceptually related problems

A,B,C are three mutually exclusive and exhaustive events associated with a random experiment.Find P(A), it being given that P(B)=(3)/(2)P(A) and P(C)=(1)/(2)P(B)

If A, B and C are mutually exclusive and exhaustive events associated with a random experiment, if P(B)=(3)/(2)P(A) and P©=(1)/(2)P(B) , then P(A) is equal to

Let A, B and C be three mutually exclusive and exhaustive events associated with a random experiment. IfP(B) = 1.5 P(A) and P(C)=0.5P(B), then P(A) is equal to

If A,B and C are mutually exclusive and exhaustive events of a random experiment such that P(B)=(3)/(2)P(A) and P(C )=(1)/(2)P(B) , then P (A uu C) equals

If A and B are two mutually exclusive and exhaustive events with P(B) = 3 P(A) , then what is the value of P(bar(B)) ?

If A, B and C are three mutually exclusive and exhaustive events of an experiment such that 3P(A) = 2P(B) = P(C), then find the value of P(A).

If A and B are two events associated with a random experiment; then P(A uu B)=P(A)+P(B)-P(A nn B)

RD SHARMA-PROBABILITY-Solved Examples And Exercises
  1. Write the probability that a number selected at random from the set of...

    Text Solution

    |

  2. In a competition A, B and C are participating. The probability that A ...

    Text Solution

    |

  3. If A, B, C are mutually exclusive and exhaustive events associated to ...

    Text Solution

    |

  4. If A and B are two independent events the write P(AuuB) in terms of P(...

    Text Solution

    |

  5. If P(A)=0. 3 ,\ P(B)=0. 6 ,\ P(B//A)=0. 5 , find P(AuuB) .

    Text Solution

    |

  6. If A, B, and C are independent events such that P(A)=P(B)=P(C)=p , the...

    Text Solution

    |

  7. For three events A ,B and C ,P (Exactly one of A or B occurs) =P (Exac...

    Text Solution

    |

  8. If A and B are independent events such that P(A)=p ,\ P(B)=2p and P (E...

    Text Solution

    |

  9. If from each of the three boxes containing 3 white and 1 black, 2 whit...

    Text Solution

    |

  10. Four cards are drawn at a time from a pack of 52 playing cards. Find t...

    Text Solution

    |

  11. A and B are two events such that P(A)=0. 25 and P(B)=0. 50. The prob...

    Text Solution

    |

  12. The probabilities of a student getting I, II and III division in an ...

    Text Solution

    |

  13. India plays two matches each with West Indies and Australia. In any ma...

    Text Solution

    |

  14. The probability that a leap year will have 53 Fridays or 53 Saturday...

    Text Solution

    |

  15. A person write 4 letters and addresses 4 envelopes. If the letters a...

    Text Solution

    |

  16. A speaks truth in 75% cases and B speaks truth in 80% cases. Probabi...

    Text Solution

    |

  17. Three integers are chosen at random from the first 20 integers. The ...

    Text Solution

    |

  18. Out of 30 consecutive integers 2 are chosen at random. The probability...

    Text Solution

    |

  19. A bag contains 5 black balls, 4 white balls and 3 red balls. If a ball...

    Text Solution

    |

  20. Two dice are thrown simultaneously. the probability of getting a pai...

    Text Solution

    |