Home
Class 12
MATHS
If P(A | B)gtP(A), then which of the fol...

If `P(A | B)gtP(A)`, then which of the following is correct: a) `P(B | A)ltP(B)` b)`P(A nn B)ltP(A). P(B)` c)`P(B | A)gtP(B)` d)`P(B | A)=P(B)`

A

'P(B | A)ltP(B)'

B

P(A nn B)ltP(A), P(B)'

C

P(B | A)gtP(B)'

D

PB | A]=P(B)'

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    V PUBLICATION|Exercise QUESTION BANK|100 Videos
  • RELATIONS AND FUNCTIONS

    V PUBLICATION|Exercise QUESTION BANK|114 Videos

Similar Questions

Explore conceptually related problems

If A and B are two events such that A subset B and P(B) ne 0 , then which of the following is correct? a) P(A | B)=(P(B))/(P(A)) b) P(A | B)ltP(A) c) P(A | B) ge P(A) d)None of these

For any sets 'A' and 'B', show that P(A nn B)=P(A) nn P(B)

If P(A) = 0.8, P(B) = 0.5, P(B/A) = 0.4, Find P(A/B)

Two events A and B wll be independent,if a)A and B are mutually exclusive b) P(A'B')=[1-P(A)] [1-P(B)] c)P(A)= P(B) d)P(A)+P(B)=1

If P(A) = 0.8, P(B) = 0.5, P(B/A) = 0.4, Find P(AnnB)

If P(A) = 0.8, P(B) = 0.5, P(B|A) = 0.4, Find P(AuuB)

If A and B are two events. Then, 1+P(AnnB)-P(B)-P(A) is equal to a) P(barAnnbarB) b) P(AnnbarB) c) P(barAnnB) d) P(AuuB)

V PUBLICATION-PROBABILITY-QUESTION BANK
  1. If a leap year is selected at random, what is the chance that it will ...

    Text Solution

    |

  2. If each element of a second order determinant is either zero or one, w...

    Text Solution

    |

  3. An electronic assembly consists of two subsystems, say, A and B. From ...

    Text Solution

    |

  4. Bag I contains 3 red and 4 black balls and Bag II contains 4 red and 5...

    Text Solution

    |

  5. If A and B are two events such that P(A) ne 0 and P(B | A)=1, then a)A...

    Text Solution

    |

  6. If P(A | B)gtP(A), then which of the following is correct: a) P(B | A)...

    Text Solution

    |

  7. If 'A' and 'B' are any two events such that 'P(A)+P(B)-P(A' and 'B)=P(...

    Text Solution

    |

  8. Consider the random experiment of throwing a die. Let' E be the event ...

    Text Solution

    |

  9. If 'P(E)=0.40, P(F)=0.35' and 'P(E, uu F)=0.55', find 'P(E / F)' and. ...

    Text Solution

    |

  10. A' and 'B' are two events such that 'P(A)=1/4, P(A / B)=(1/3)' and 'P(...

    Text Solution

    |

  11. A die is thrown twice and the sum of the numbers appearing is observed...

    Text Solution

    |

  12. A bag contains 4 red and 3 black balls. A second bag contains 2 red an...

    Text Solution

    |

  13. If A and B are independent events, Prove that bar A and bar B are inde...

    Text Solution

    |

  14. A problem is given to three students whose chances of solving it are ...

    Text Solution

    |

  15. A can hit a target 3 times in 6 shots, B 2 times in 6 shots and C 4 ti...

    Text Solution

    |

  16. Obtain the probability distribution of the total number of heads occur...

    Text Solution

    |

  17. An urn contains 4 white and 3 red balls. Find the probability distribu...

    Text Solution

    |

  18. Find the probability distribution of the number of green balls drawn w...

    Text Solution

    |

  19. Three cards are drawn successively without replacement from a well-shu...

    Text Solution

    |

  20. Two cards drawn successively with replacement from a well shuffled pac...

    Text Solution

    |