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 (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

A

mutually exclusive and independent

B

equally likely but not independent

C

Independent but not equally likely

D

independent and equally likely

Text Solution

Verified by Experts

`P (bar(AuuB))=1/6`
`P(AuuB)=5/6,P(A)=3/4`
`P(AuuB)-P(A)+P(B)-P(AnnB)=5/6`
`impliesP(B)=5/6-3/4+1/4=1/3`
`impliesP(AnnB)=P(A).P(B)=1/4`
Promotional Banner

Topper's Solved these Questions

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    CENGAGE PUBLICATION|Exercise Sovled Examples|22 Videos

  • PROBABILITY I

    CENGAGE PUBLICATION|Exercise JEE Advanced|7 Videos

Similar Questions

Explore conceptually related problems

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-

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

Let A and B be two events such that P(A cap B) = 1/6, P(A cup B) = 31/45 "and" P bar((B))= 7/10 -

If the events A and B are equally likely, then P(A) =

If A and B are two independent events such that P( barA nnB)=2//15 and P(Ann barB )=1//6 , then P(B) is

Let A and B be two events such that P(A) =1/3,P(B)=1/4 and P(AnnB)=1/4 . Find P(A//B),P(B//A),P(AuuB) .

If A and B are two events such that P(A) =(1)/(4), P(B) = (1)/(2) and P(A cap B) = (1)/(8) , find P (not A and not B).

A and B are two independent events such that P(A^C) = 0.7, P(B) = k and P(A uB) = 0.8 , then K is

A and B are two independent events such that P(AuuB')=0.8 , and P(A)=0.3 .Then P(B) is

A and B are two independent events such that P(AuuB) = 0.8 and P(A) = 0.3. P(B) is……

CENGAGE PUBLICATION-PROBABILITY-All Questions
  1. Statement 1: The probability of drawing either an ace or a king from...

    Text Solution

    |

  2. Five horses are in a race. Mr. A selects two of the horses at random a...

    Text Solution

    |

  3. Let A and B be two events such that p( bar (AuuB))=1/6, p(AnnB)=1/4 a...

    Text Solution

    |

  4. A die is thrown a fixed number of times. If probability of getting eve...

    Text Solution

    |

  5. A pair of fair dice is thrown independently three times. The probab...

    Text Solution

    |

  6. Let A ,B ,C ,D be independent events such that P(A)=1//2,P(B)=1//3, P(...

    Text Solution

    |

  7. A sample space consists of 3 sample points with associated probabili...

    Text Solution

    |

  8. Words from the letters of the word PROBABILITY are formed by taking al...

    Text Solution

    |

  9. A class consists of 80 students, 25 of them are girls and 55 are boys....

    Text Solution

    |

  10. A and B play a game of tennis. The situatio of the game is as follows:...

    Text Solution

    |

  11. If the papers of 4 students can be checked by any one of the 7 teac...

    Text Solution

    |

  12. Let A ,B ,C be three mutually independent events. Consider the two sta...

    Text Solution

    |

  13. A box contains 24 identical balls of which 12 are white and 12 are ...

    Text Solution

    |

  14. In a certain town, 40% of the people have brown hair, 25% have brown ...

    Text Solution

    |

  15. If E and F are the complementary events of events E and F , respect...

    Text Solution

    |

  16. The probability that a bulb produced by a factory will fuse after 150 ...

    Text Solution

    |

  17. A coin is tossed 2n times. The chance that the number of times one ge...

    Text Solution

    |

  18. Sixteen players S(1), S(2), S(3),…,S(16) play in a tournament. Number ...

    Text Solution

    |

  19. If pa n dq are chosen randomly from the set {1,2,3,4,5,6,7,8,9, 10} wi...

    Text Solution

    |

  20. The mean deviation of the series a , a+d , a+2d ,.....,a+2nd from its ...

    Text Solution

    |