Home
Class 12
MATHS
Let A and B be two events, such that P(b...

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

A

independent but not equally likely

B

independent and equally likely

C

mutually exclusive and independent

D

equally likely but not independent

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    ARIHANT MATHS ENGLISH|Exercise Exercise (Subjective Type Questions)|15 Videos
  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos
  • PRODUCT OF VECTORS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|51 Videos

Similar Questions

Explore conceptually related problems

Let A and B be two events such that Poverline((AcupB))=(1)/(6),P(AcapB)=(1)/(4) and Poverline(A)=(1)/(4) ,where overline(A) stands for complement of event A. then , events A and B are

Let A and B be two events such that Poverline((AcupB))=(1)/(6),P(AcapB)=(1)/(4) and Poverline(A)=(1)/(4) ,where overline(A) stands for complement of event A. then , 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

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 (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(AcupB)=(5)/(6), P(A)=(1)/(3) and P(B)=(3)/(4) , then A and B are

A and B are two events such that P(A cup B)=(3)/(4), P(A)=(1)/(3), P(overline(A) cap B)=

If A and B be two events such that P(A)= (1)/(2)P(B) = (1)/(3) and P((A)/(B))=(1)/(4) then P(AnnB) equals

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

If A and B are two events such that P(A cup B) =3/4 ,P(A cap B) = 1/4 and P(bar(A)) =2/3 then P( bar(A) capB) is equal to

If A and B are two given events, then P(A cap B) is

ARIHANT MATHS ENGLISH-PROBABILITY-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Three numbers are chosen at random without replacement from {1,2,3,......

    Text Solution

    |

  2. A multiple choice examination has 5 questions. Each question has three...

    Text Solution

    |

  3. Four person independently solve a certain problem correctly with pr...

    Text Solution

    |

  4. Of the three independent events E(1),E(2),and E(3), the probability th...

    Text Solution

    |

  5. A box B(1) contains 1 white ball, 3 red balls, and 2 black balls. An- ...

    Text Solution

    |

  6. A box B1 contains 1 white ball, 3 red balls and 2 black balls. Another...

    Text Solution

    |

  7. Let A and B be two events, such that P(bar(A cup B))=(1)/(6), P(A cap ...

    Text Solution

    |

  8. Three boys and two girls stand in a queue. The probability, that the n...

    Text Solution

    |

  9. Box 1 contains three cards bearing numbers 1, 2, 3; box 2 contains fiv...

    Text Solution

    |

  10. Box 1 contains three cards bearing numbers 1, 2, 3; box 2 contains fiv...

    Text Solution

    |

  11. If 12 indentical balls are to placed in 3 indntical boxes, then the pr...

    Text Solution

    |

  12. The minimum number of times a fair coin needs to be tossed, so that th...

    Text Solution

    |

  13. Let n(1)and n(2) be the number of red and black balls, respectively, i...

    Text Solution

    |

  14. Let two fari six-faced dice A and B be thrown simltaneously. If E(1) i...

    Text Solution

    |

  15. A computer producing factory has only two plants T(1) and T(2). Plant ...

    Text Solution

    |

  16. Football teams T1 and T2 have to play two games against each other. It...

    Text Solution

    |

  17. Football teams T(1)and T(2) have to play two games are independent. Th...

    Text Solution

    |

  18. A box contains 15 green and 10 yellow balls. If 10 balls are randomly ...

    Text Solution

    |

  19. If two different numbers are taken from the set {0, 1, 2, 3, …, 10}, t...

    Text Solution

    |

  20. For three events A ,B and C ,P (Exactly one of A or B occurs) =P (Exac...

    Text Solution

    |