Home
Class 12
MATHS
Let A and B be two events such that Pbar...

Let A and B be two events such that `Pbar((A cup B)) = 1/6, P(A cap B) "and" P(bar (A)) = 1/4, "where" barA ` stands for the complement of the event A. Then the 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 -2

    DISHA PUBLICATION|Exercise EXERCISE - 1 : CONCEPT BUILDER|60 Videos
  • PROBABILITY -2

    DISHA PUBLICATION|Exercise EXERCISE - 2 : CONCEPT APPLICATOR|30 Videos
  • PRINCIPLE OF MATHEMATICAL INDUCTION

    DISHA PUBLICATION|Exercise Exercise-2 Concept Applicator|20 Videos
  • PROBABILITY-1

    DISHA PUBLICATION|Exercise EXERCISE-1 : CONCEPT BUILDER|180 Videos

Similar Questions

Explore conceptually related problems

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

Let A and B be two events such that ,P(A cap B)=(1)/(4) and Poverset(-)(A)=(1)/(4) , where overset(-)A 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(A nn B) = 1/6, P(A uu B)=31/45 and P(bar(B))=7/10 , then

Let A and B be two events such that Poverline((AcupB))=(1)/(6),P(AcapB)=(1)/(4) and P(overline(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

If A and B are any two events such that P(A uu B) = 3/4, P(A nn B) = 1/4 and P(bar(A)) = 2/3 , where bar(A) stands for the complementary event of A, then what is P(B) ?

If A and B are two events such that P((A uu B)')= 1/6 , P(A nn B)=1/4 and P(A')= 1/4 , then P(A) and P(B) are

DISHA PUBLICATION-PROBABILITY -2-EXERCISE - 2 : CONCEPT APPLICATOR
  1. Let A and B be two events such that Pbar((A cup B)) = 1/6, P(A cap B) ...

    Text Solution

    |

  2. 3 friends A, B and C play the game "Pahle Hum Pahle Tum" in which they...

    Text Solution

    |

  3. Two events E and F are independent. If P(E )=0.3 and P(EcupF)=0.5 then...

    Text Solution

    |

  4. The probabilities of four cricketers A, B, C and D scoring more than 5...

    Text Solution

    |

  5. consider an event E=E(1)capE(2)capE(3) find the value of P(E) if P(E(1...

    Text Solution

    |

  6. A set A has n elements. A subset P of A is selected at random. Returni...

    Text Solution

    |

  7. Rahul has to write a project, Probability that he will get a project c...

    Text Solution

    |

  8. Assume that each born child is equally likely to be a boy or a girl...

    Text Solution

    |

  9. For any two independent events E1 and E2 P{(E1uuE2)nn(bar(E1)nnbar(E2)...

    Text Solution

    |

  10. Mr. A randomly picks 3 distinct numbers from the set {1, 2, 3, 4, 5, 6...

    Text Solution

    |

  11. If P(B)=3/5,P(A//B)=1/2andP(AcupB)=4/5, then P(AcupB)'+P(A'cupB) is eq...

    Text Solution

    |

  12. The probability of India winning a test match against West Indies i...

    Text Solution

    |

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

    Text Solution

    |

  14. A die marked 1, 2, 3 in red and 4, 5, 6 in green is tossed. Let A be ...

    Text Solution

    |

  15. For two events A and B, if P(A)P((A)/(B))=(1)/(4) and P((B)/(A))=(1)/(...

    Text Solution

    |

  16. If E and F are independent events such that 0ltP(E)lt1 and 0ltP(F)lt1,...

    Text Solution

    |

  17. Two aeroplanes I and II bomb a target in succession. The probabilities...

    Text Solution

    |

  18. If A and B play a series of games in each of which probability that A ...

    Text Solution

    |

  19. In a competitive examination, an examinee either guesses or copies or ...

    Text Solution

    |

  20. Suppose X is a random variable which takes values 0,1,2,3,.... and P(X...

    Text Solution

    |

  21. Die A has 4 red and 2 white faces, whereas die B has 2 red and 4 wh...

    Text Solution

    |