Home
Class 11
MATHS
Let A and B be two events such that P(ba...

Let A and B be two events such that `P(bar(A uu B)) = 1/6, P(A nn B) = 1/4 and P(barA) = 1/4` Then the events A and B are

A

Equally likely but not independent

B

Independent but not equally likely

C

Independent and equally likely

D

Mutually inclusive and dependent

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION OF PROBABILITY THEOREM

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS SECTION - A|14 Videos
  • INTRODUCTION OF PROBABILITY THEOREM

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEM SECTION - D|5 Videos
  • INTEGRAL CALCULUS

    SURA PUBLICATION|Exercise Section - D (5 marks)|3 Videos
  • MATRICES AND DETERMINANTS

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS SECTION -D (5 MARK )|3 Videos

Similar Questions

Explore conceptually related problems

Let A and B are two events such that P(bar(AcupB))=(1)/(6),P(AcapB)=(1)/(4) and P(barA)=(1)/(4) .Then the events A and B are:

Let A and B be two events such that P (bar(AuuB))=1/6, P(AnnB)=1/4and P(barA)=1/4,where barA stands for the complement of the event A. Then the events A and B are

Let A and B be two events such that p( bar (AuuB))=1/6, p(AnnB)=1/4 and p( bar A)=1/4 , where bar A stands for the complement of the event A. Then the events A and B are (1) mutually exclusive and independent (2) equally likely but not independent (3) independent but not equally likely (4) independent and equally likely

If A and B are two events such that P(A uu B) = 0.7, P(A nn B) = 0.2, and P(B) = 0.5 , then show that A and B are independent.

If A and B are two events such that P(A) = 4/5 and P(A nn B) = 7/10 then P(B/A) =

If A and B are two events such that P(A nn B) = 7/10 and P(B) 17/20 , then P(A/B) =

If A and B are any two events such that P(A) + P(B) -P(A and B) = P(A), then

A and B are two events such that P(A) gt 0, P(B) ne 1 then P(barA|barB) is equal to

If A and B are two independent events such that P(A uu B) = 0.6, P(A) = 0.2 , find P(B).

SURA PUBLICATION-INTRODUCTION OF PROBABILITY THEOREM-EXERCISE 12.5
  1. A, B and C try to hit a target simultaneously but independently. Their...

    Text Solution

    |

  2. If A and B are any two events, then the probability that exactly one o...

    Text Solution

    |

  3. Let A and B be two events such that P(bar(A uu B)) = 1/6, P(A nn B) = ...

    Text Solution

    |

  4. Two items are chosen from a lot containing twelve items of which four ...

    Text Solution

    |

  5. A man has 3 fifty rupees notes, 4 hundred rupees notes and 6 five hund...

    Text Solution

    |

  6. A letter is taken at random from the letters of the word 'ASSISTANT' a...

    Text Solution

    |

  7. A matrix is chosen at random from a set of all matrices of order 2, wi...

    Text Solution

    |

  8. A bag contains 5 white and 3 black balls. Five balls are drawn success...

    Text Solution

    |

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

    Text Solution

    |

  10. A bag contains 6 green, 2 white, and 7 black balls. If two balls are ...

    Text Solution

    |

  11. If X and Y be two events such that P(X//Y) = 1/2, P(Y//X) = 1/3 and P(...

    Text Solution

    |

  12. An urn contains 5 red and 5 black balls. A ball is drawn at random, it...

    Text Solution

    |

  13. A number x is chosen at random from the set {1,2,3,4, ………., 100}. Defi...

    Text Solution

    |

  14. If two events A and B are independent such that P(A) = 0.35 and P(A uu...

    Text Solution

    |

  15. If two events A and B are such that P (barA) = 3/10 and P(A nn barB) =...

    Text Solution

    |

  16. If A and B are two events such that P(A) = 0.4, P(B) = 0.8 and P(B//A)...

    Text Solution

    |

  17. There are three events A, B and C of which one and only one can happen...

    Text Solution

    |

  18. If a and b are chosen randomly from the set {1, 2, 3, 4} with replacem...

    Text Solution

    |

  19. It is given that the events A and B are such that P(A) = 1/4, P (A//B)...

    Text Solution

    |

  20. In a certain college 4% of the boys and 1 % of the girls are taller th...

    Text Solution

    |