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

Let `E^c` denote the complement of an event E. Let `E,F and G be pairwise independent events with `P(G)gt 0` and `P(E cap F cap G)=0`, then `P(E^c cap F ^c//G)`, is

A

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

B

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

C

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

D

`P€ - P(F^(@))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    VMC MODULES ENGLISH|Exercise JEE MAIN (ARCHIVE)|37 Videos
  • PERMUTATION & COMBINATION

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|50 Videos
  • PROPERTIES OF TRIANGLE

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|50 Videos

Similar Questions

Explore conceptually related problems

Let E^c denote the complement of an event E. Let E,F,G be pairwise independent events with P(G) gt 0 and P(E nn F nn G)=0 Then P(E^c nn F^c nn 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)

If E and F are independent events, then write P (E uu F)

If A and B are independent events then P(A cap B) is equal to

If E and F are independent events such that 0 lt P(E) lt 1 and 0 lt P(F) lt 1 , then

If E' denote the complement of an event E , what is the value of P(E')+P( E )?

Prove that if E and F are independent events, then so are the events E and F.

Events E and F are independent. Find P(F),ifP(E)=0. 35a n dP(EuuF)=0. 6.

Two events E and F are independent. If P(E )=0.3 and P( EcupF )=0.5 then P(E//F)-P(F//E) equals to

Two events E and F are independent. If P(E )=0.3 and P( EcupF )=0.5 then P(E//F)-P(F//E) equals to

If E and F are two independent events and P(E)=1/3,P(F)=1/4, then find P(EuuF) .

VMC MODULES ENGLISH-PROBABILITY-JEE ADVANCED (ARCHIVE)
  1. Four person independently solve a certain problem correctly with pr...

    Text Solution

    |

  2. An experiment has 10 equally likely outcomes. Let A and B be two non-e...

    Text Solution

    |

  3. Let E^c denote the complement of an event E. Let E,F and G be pairwise...

    Text Solution

    |

  4. Indian and four American men and their wives are to be seated randomly...

    Text Solution

    |

  5. A dice is thrown. The probability that the first time 1 occurs at the ...

    Text Solution

    |

  6. There are four machines and it is known that eactly two of them are fa...

    Text Solution

    |

  7. A fair coin is tossed repeatedly. If tail appears on first four tos...

    Text Solution

    |

  8. If from each of the three boxes containing 3 whiter and 1 black, 2 ...

    Text Solution

    |

  9. The probability of India winning a test match against West Indies is 1...

    Text Solution

    |

  10. An unbiased die with faced marked 1, 2, 3, 4, 5, and 6 is rolled four ...

    Text Solution

    |

  11. A student appears for tests I, II and III. The student is successful i...

    Text Solution

    |

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

    Text Solution

    |

  13. The probability that an event A happens in one trial of an experiment,...

    Text Solution

    |

  14. Let X any Y be two events, such that P(X//Y)=(1)/(2), P(Y//X)=(1)/(3) ...

    Text Solution

    |

  15. Let E and F be two independent events. The probability that exactly on...

    Text Solution

    |

  16. about to only mathematics

    Text Solution

    |

  17. If E and F are the complementary events of events E and F , respect...

    Text Solution

    |

  18. Ea n dF are two independent events. The probability that both Ea n dF ...

    Text Solution

    |

  19. For any two events A and B in a sample space:

    Text Solution

    |

  20. If E and F are independent events such that 0 < P(E) < 1 and 0 < P(F) ...

    Text Solution

    |