Home
Class 12
MATHS
Let E^(c ) denote the complement of an ...

Let `E^(c ) ` denote the complement of an event E . Let E,F ,G be pair - wise independent events with `P(G) gt 0 and P(E ca p F cap G) = 0 ` . Then `P(E^(C )cap F^(C )//G)` equals :

A

`P(E^(C ))+P(F^(C ))`

B

`P(E^(C )-P(F^(C ))`

C

`P(E^(C ))-P(F)`

D

`P(E ) - P(F^(C ))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/JEE EXAMINATIONS|13 Videos
  • PROBABILITY

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS (QUESTIONS FROM KARNATAKA CET & COMED )|11 Videos
  • PROBABILITY

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS (QUESTIONS FROM KARNATAKA CET & COMED )|11 Videos
  • PERMUTATIONS AND COMBINATIONS

    MODERN PUBLICATION|Exercise Recent Competitive Questions|6 Videos
  • QUADRATIC EQUATIONS

    MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/JEE EXAMINATIONS|13 Videos

Similar Questions

Explore conceptually related problems

Let A,B,C be pairwise indepeendent events with P(C ) gt 0 and P(A cap B cap C ) = 0 Then P(A^(C )B^(C )//C) is :

If E and F are events with P(E) le P(F) and P(E cap F) gt 0, then :

Let A and B be independent events with P(A) = 0 . 3 and P(B) = 0 . 4, . Find P(Acap B)

If E and F are events with P(E ) le P(F) and P( E cap F) gt 0 then :

Let A and B be independent events with P(A) = 0 . 3 and P(B) = 0 . 4, . Find P(Acup B)

Let A and B be independent events with P(A) = 0 . 3 and P(B) = 0 . 4, . Find P(B//A)

Let A and B be independent events with P(A) = 0 . 3 and P(B) = 0 . 4, . Find P(A//B)

If A and B are independent events such that P(A) gt 0, P(B) gt 0 , then

A and B are events such that P(A) = 0.4, P(B) = 0.3 and P( A cup B) = 0.5 . Then P(B^(') cap A^(')) =

Two events E and F are independent. If P(E) = 0.3, P(E cup F) = 0.5 , then P(E|F)-P(F|E) equals

MODERN PUBLICATION-PROBABILITY-MULTIPLE CHOICE QUESTIONS (LEVEL - II )
  1. Three of the six vertices of a regular hexamgon are chosen at rand...

    Text Solution

    |

  2. The chance of throwing a total of 3 or 5 or 11 with two dice is :

    Text Solution

    |

  3. Four persons are chosen at random from a group containing 3 men , ...

    Text Solution

    |

  4. A box contains 3 white and 2 red balls . If we draw one ball and ...

    Text Solution

    |

  5. The probability that a company executive will travel by train is 2/3 a...

    Text Solution

    |

  6. There are four machines and it is known that exactly two of them a...

    Text Solution

    |

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

    Text Solution

    |

  8. If P(A) = 65 , P(B) = 80 , then P(Acap B) lies in the interval :

    Text Solution

    |

  9. A problem in mathematics is given to three stdents A,B,C and their r...

    Text Solution

    |

  10. Events A,B,C are mutually exclusive events such that P(A) = (3x+1)...

    Text Solution

    |

  11. The probabilit that A speaks truth is 4/5 , while the probability fo...

    Text Solution

    |

  12. Two numbers are chosen from [1,2,3,4,5,6] one after another without r...

    Text Solution

    |

  13. A random variable X has Poisson distrbution with mean 2 . Then P(X ...

    Text Solution

    |

  14. One Indian and four American men and their wives are to be seated r...

    Text Solution

    |

  15. A pair of four dice is thrown indepandently three times . The probabil...

    Text Solution

    |

  16. It is given that events A and B are such that : P(A) = 1/4 ,P (A//B) =...

    Text Solution

    |

  17. A die is thrown . Let A be the event that the number obtained is great...

    Text Solution

    |

  18. Let E^(c ) denote the complement of an event E . Let E,F ,G be pair -...

    Text Solution

    |

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

    Text Solution

    |

  20. One ticket is selected at random from 50 tickets numbered 00,01,02……4...

    Text Solution

    |