Home
Class 12
MATHS
If P(A | B) gt P(A) then which of the fo...

If `P(A | B) gt P(A)` then which of the following is true ?

A

`P(B|A) lt P(B)`

B

`P(A cap B) lt P(A) * P(B) `

C

`P(B | A) gt P(B)`

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Practice Paper - 13 (Section - A (Choose the correct option))|6 Videos

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Practice Paper - 13 (Section - B (Answer the following questions))|4 Videos

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Fillers) |5 Videos

  • MATRICES

    KUMAR PRAKASHAN|Exercise Practice Paper - 3 (Section - D)|1 Videos

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Practice Paper - 1 (Section - D)|2 Videos

Similar Questions

Explore conceptually related problems

Choose the correct answer: If P(A|B) gt P(A) , then which of the following is correct :

If A = [[a,b,c],[x,y,z],[p,q,r]], B= [[q , -b,y],[-p,a,-x],[r,-c,z]] and if A is invertible, then which of the following is not true?

If A and B are two independent events such that P(A)=(1)/(2) " and " P(B)=(1)/(5) , then which of the following is correct ?

A particle moves so th at its p o sitio n vector is omega Where is a constant which of the following is true

For a p-type semiconductor, which of the following statements is true?

An EM wave of intensity I falls on a surface kept in vacuum and exerts radiation pressure p on it. Which of the following are true ?

If P(n) : 2n lt n! , n in N , then P(n) is true for all n gt= ………….. .

KUMAR PRAKASHAN-PROBABILITY-Multiple Choice Questions (MCQs)
  1. A and B are events such that P(A')= 0.3, P(B) = 0.4 and P(A cap B') =...

    Text Solution

    |

  2. A coin is tossed three times is succession. If E is the event that the...

    Text Solution

    |

  3. If P(A | B) gt P(A) then which of the following is true ?

    Text Solution

    |

  4. Choose the correct answer: If A and B are any two events such that P...

    Text Solution

    |

  5. If P(A)= 0.2, P(B) = 0.3 and P(A cup B) = 0.25 then P(B | A') = ………...

    Text Solution

    |

  6. If P(A) = 0.1, P(B) = 0.2 and P(A cup B)= 0.25 then P(A' | B')= …………

    Text Solution

    |

  7. If P(A) = 0.30, P(B) = 0.40 and P( A cup B)= 0.60 then P(B | A)= ………....

    Text Solution

    |

  8. One card is selecting from the pack of 52 playing cards if A and B den...

    Text Solution

    |

  9. P(A' cup B') | C = ………………

    Text Solution

    |

  10. A and B are events such that P(A) ne 0, P(B) ne 1 then P(barA // barB...

    Text Solution

    |

  11. Two unbaised coins are tossed. If one coin shows head, the probabilit...

    Text Solution

    |

  12. In a college 12 % students fails in mathematics, 25% fails in physics ...

    Text Solution

    |

  13. Complementary events of E and F are E' and F' respectively if 0 lt P(...

    Text Solution

    |

  14. Two cards are drawn in succession from a standard well shuffled pack o...

    Text Solution

    |

  15. a circular wheel with numbers 1 to 20 on its surface is rolled twice. ...

    Text Solution

    |

  16. Let A and B be two events such that P(A)= 0.4, P(A cup B)= 0.7 and P(B...

    Text Solution

    |

  17. A problem in mathematics is given to three students A, B, C and their ...

    Text Solution

    |

  18. The probability that A speaks truth is (4)/(5), while this probability...

    Text Solution

    |

  19. A company has three plants at which it produces a certain item. 30% ar...

    Text Solution

    |

  20. A problem of mathematics is given to three students and probability of...

    Text Solution

    |