Home
Class 12
MATHS
Choose the correct answer If A and B a...

Choose the correct answer
If A and B are events such that P(A|B) = P(B|A), then

A

`A subset B, but A ne B`

B

A = B

C

`A cap B = phi`

D

A(A) = P(B)

Text Solution

Verified by Experts

The correct Answer is:
D
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 events such that P(A/B)=P(B/A) , then

Choose the correct answer: If A and B are any two events such that P(A) + P(B) - P(A and B) = P(A), then

Choose the correct answer: If A and B are two events such that P(A) != 0 and P(B|A) = 1, then

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

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

Choose the correct answer If P(A)=(1)/(2) , P(B) = 0, then P(A|B) is

Statement-1: if A and B are two events, such that 0 lt P(A),P(B) lt 1, then P((A)/(overline(B)))+P((overline(A))/(overline(B)))=(3)/(2) Statement-2: If A and B are two events, such that 0 lt P(A), P(B) lt 1, then P(A//B)=(P(AcapB))/(P(B)) and P(overline(B))=P(A capoverline(B))+P(overline(A) cap overline(B))

Statement-1 Let A and B be the two events, such that P(AcupB)=P(AcapB) , then P(AcapB')=P(A'capB)=0 Statement-2 Let A and B be the two events, such that P(AcupB)=P(AcapB), then P(A)+P(B)=1

HIMALAYA PUBLICATION-PROBABILITY-QUESTION BANK
  1. The key for a door is in a bunch of 10 keys. A man attempts to open th...

    Text Solution

    |

  2. Choose the correct answer If P(A)=(1)/(2), P(B) = 0, then P(A|B) is

    Text Solution

    |

  3. Choose the correct answer If A and B are events such that P(A|B) = P...

    Text Solution

    |

  4. Choose the correct answer The probability of obtaining an even prime...

    Text Solution

    |

  5. Two events A and B will be independent if

    Text Solution

    |

  6. Probability that A speaks truth is 4/5. A coin is tossed. A reports th...

    Text Solution

    |

  7. If A and B are two events such that A sub B and P(B) ne 0, then which ...

    Text Solution

    |

  8. Choose the correct answer The mean of the numbers obtained on throwi...

    Text Solution

    |

  9. Choose the correct answer Suppose that two cards are drawn at random...

    Text Solution

    |

  10. Choose the correct answer: In a box containing 100 bulbs, 10 are def...

    Text Solution

    |

  11. Choose the correct answer: The probability that a student is not a s...

    Text Solution

    |

  12. Choose the correct answer: If A and B are two events such that P(A) ...

    Text Solution

    |

  13. Choose the correct answer: If P(A|B) gt P(A), then which of the foll...

    Text Solution

    |

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

    Text Solution

    |

  15. Let A and B be two events such that P(A) = 0.6, P(B) = 0.2 and P(A/B) ...

    Text Solution

    |

  16. If A and B are independent events such that 0 < P(A) < 1 and 0 < P(B) ...

    Text Solution

    |

  17. Let X be a discrete random variable. The probability distribution of X...

    Text Solution

    |

  18. Let X be a distance random variable assuming values x(1),x(2) ,…….,...

    Text Solution

    |

  19. Let A and B be two events .If P(A) = = 0.2 P(B) 0.4 ,P(A cup B)=0.6...

    Text Solution

    |

  20. If P(A) =4/5 and P(A cap B) = 7/10 then P(B/A) =

    Text Solution

    |