Home
Class 12
MATHS
If A and B are two events and A ne phi, ...

If A and B are two events and `A ne phi, B ne phi` then

A

P(A|B) = P(A).P(B)

B

`P(A|B) = (P(A cap B))/(P(B))`

C

P(A|B).P(B|A) =1

D

P(A|B) + P(A)|P(B)

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PERMUTATION AND COMBINATIONS

    HIMALAYA PUBLICATION|Exercise Question Bank|104 Videos
  • PROGRESSIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|97 Videos

Similar Questions

Explore conceptually related problems

If A and B are two events such that A sub B and P(B) ne 0 , then which of the following is correct?

If A and B are two finite sets such that A nn B != phi , then n (A uu B) =

A and B are two sets, then A-B = phi , if and only if

If A and B are such events that P(A) gt 0, and P(B) ne 1, then P(A^(')|B^(')) =

A and B are two events such that P(A)!=0, P(B//A) is

If A and B are 3xx3 matrices and abs(A)ne 0, which of the following are true?

For any two events A and B , P (A cap B) is :

If A and B are two events such that P(A)=(1)/(3), P(B)=(1)/(2) and P(AnnB)=(1)/(6) , then P(A'//B) is

HIMALAYA PUBLICATION-PROBABILITY-QUESTION BANK
  1. If A and B are two events such that P(A) = 1/2, P(B) = 1/3, P(A|B) = 1...

    Text Solution

    |

  2. If P(A) = 0.4, P(B) = 0.8 and P(B|A) = 0.6 then P(A cup B) =

    Text Solution

    |

  3. If A and B are two events and A ne phi, B ne phi then

    Text Solution

    |

  4. A and B are events such that P(A) = 0.4, P(B) = 0.3 and P( A cup B) = ...

    Text Solution

    |

  5. You are given that A and B are two events such that P(B) = 3/5 and P(A...

    Text Solution

    |

  6. You are given that A and B are two events such that P(B) = 3/5, P(A|B)...

    Text Solution

    |

  7. If P(A) = 7/13, P(B) = 9/13 and P(A cap B)= 4/13. Then P(A^(')|B) =

    Text Solution

    |

  8. If P(A)= (7)/(13), P(B)= (9)/(13) and P(AnnB)= (4)/(13) find P(A//B)

    Text Solution

    |

  9. If A and B are such events that P(A) gt 0, and P(B) ne 1, then P(A^(')...

    Text Solution

    |

  10. If A and B are two independent events with P(A) = 3/5 and P(B) = 4/9 t...

    Text Solution

    |

  11. Three person A, B and C fire at a target, inturn starting. with A. The...

    Text Solution

    |

  12. If two events are independent, then

    Text Solution

    |

  13. Let A and B two events such that P(A) = 3/8, P(B) = 5/8 and P(A cup B)...

    Text Solution

    |

  14. If events A and B are independent, then P(A cap B) =

    Text Solution

    |

  15. Two events E and F are independent. If P(E) = 0.3, P(E cup F) = 0.5, t...

    Text Solution

    |

  16. A bag contains 5 red and 3 blue balls. If 3 balls are drawn at random ...

    Text Solution

    |

  17. A bag containing 5 red and 3 blue balls. If 3 balls are drawn at rando...

    Text Solution

    |

  18. Assume that in a family, each child is equally Iikely to be a boy or g...

    Text Solution

    |

  19. A die is thrown and a card is selected at random from a deck of 52 pla...

    Text Solution

    |

  20. A box contains 3 orange balls, 3 green balls and 2 blue balls. Three b...

    Text Solution

    |