Home
Class 12
MATHS
If the events A and B are not mutually...

If the events A and B are not mutually exclusive then
P(A`cup`B) =

A

P(A) + P(B)

B

P(A) + P(B) + P(A`cap B cap`C)

C

P(A) + P(B) - P(A`cap`B)

D

P(A)-P(B)

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    CHHAYA PUBLICATION|Exercise VERY SHORT ANSWER TYPE QUESTION|61 Videos

  • PROBABILITY

    CHHAYA PUBLICATION|Exercise SHORT ANSWER TYPE QUESTIONS|46 Videos

  • PROBABILITY

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMS|18 Videos

  • PLANE

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination( E Assertion - Reason Type )|2 Videos

  • PRODUCTS OF TWO VECTORS

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion - Reason Type )|2 Videos

Similar Questions

Explore conceptually related problems

If the events A and B are mutually exclusive then-

If A and B are two mutually exclusive event then P(A-B) =

If the events A,B, and C are mutully exclusive then P(A cup B cup C ) =

If the events A,B, and C are mutully exclusive then P(A cup B cup C ) =

If A and B are two mutually exclusive events, then-

If A and B are two mutually exclusive events and P(A cup B) ne 0 , then show that, P[A//(A cup B)] =(P(A))/(P(A)+P(B)) .

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

Three events A,B and C are mutually exclusive and exhaustive: if P(A) = (3)/(5) and P(B) = 1/6 then the value of P( C) is -

Can the two events A and B be mutually exclusive if P(A) = 1/8,P(A//B)= 1/8 and P(B//A) = 1/4 ? Justify your answer with reason.

Two events A and B are mutually not exclusive events if P(A)=1/4,P(B)=2/5 and P(A cup B) =1/2 then find P(A cap B^c)

CHHAYA PUBLICATION-PROBABILITY-MULTIPLE CHOICE TYPER QUESTIONS
  1. If S is the sure event then-

    Text Solution

    |

  2. If the events A,B, and C are mutully exclusive then P(Acup B cup C) =

    Text Solution

    |

  3. If the events A and B are not mutually exclusive then P(AcupB) =

    Text Solution

    |

  4. If the events A and B are mutually exclusive then-

    Text Solution

    |

  5. If the events A,B, and C are mutully exclusive then P(Acup B cup C) =

    Text Solution

    |

  6. Two dice are rolled. The probability of getting a sum 7 is -

    Text Solution

    |

  7. For twos events A and B if P(A cup B) = (3)/(4) , P(A cap B) = (1)/(4)...

    Text Solution

    |

  8. If the events A and B are equally likely, then P(A) =

    Text Solution

    |

  9. If the probability of occurrence of an event is (3)/(7), then the odds...

    Text Solution

    |

  10. If the odds in favour of an event are 7:3, then its probability of occ...

    Text Solution

    |

  11. The number of equally likely event points contained in its sample spac...

    Text Solution

    |

  12. The number of throwing n dice simultaneously, is -

    Text Solution

    |

  13. If the probability of non-occurrence of an event is (4)/(7) then the o...

    Text Solution

    |

  14. If the odds against an event are 4 : 5, then the probability of occurr...

    Text Solution

    |

  15. A number is chosen at random from the first 11 natural numbers, then t...

    Text Solution

    |

  16. An unbiased coin is tossed 3 times in succession, the probability of g...

    Text Solution

    |

  17. The probability of gettting 11 when an ordinary die is thrown twice is...

    Text Solution

    |

  18. Two events A and B are mutually exclusive, if P(A)= (1)/(2) and P(Acup...

    Text Solution

    |

  19. Three events A,B and C are mutually exclusive and exhaustive: if P(A) ...

    Text Solution

    |

  20. If P(AcapB) = (5)/(13), then the value of P(A^( c) cup B^( c)) is -

    Text Solution

    |