Home
Class 12
MATHS
If P(B)=3/4, P(AnnBnnbarC)=1/3 and P(bar...

If `P(B)=3/4, P(AnnBnnbarC)=1/3` and `P(barAnnBbarC)=1/3` then `P(BnnC)=`

A

`(1)/(12)`

B

`(3)/(4)`

C

`(1)/(15)`

D

`(1)/(9)`

Text Solution

Verified by Experts

The correct Answer is:
A
Probability that no one born in the same month `=(12xx11xx10)/(12xx12xx12)`
Probability that at least two are born in same month
`=1-(12xx11xx10)/(12xx12xx12)`
`=(144-110)/(144)=(17)/(72)`
Promotional Banner

Topper's Solved these Questions

  • POLYNOMIAL,QUADRATIC EQUATION & INEQUALITIES

    NDA PREVIOUS YEARS|Exercise Math|170 Videos

  • PROPERTIES OF TRIANGLE, INVERSE TRIGONOMETRIC FUNCTION

    NDA PREVIOUS YEARS|Exercise MCQ|103 Videos

Similar Questions

Explore conceptually related problems

If P(B)=3//4, P(AnnBnnbarC)=1//3 and P( bar A nnBnn barC )=1//3, t h e nP(BnnC) is a. 1//12 b. 1//6 c. 1//16 d. 1//9

If P(B) = 3/4 , P(AcapBcapbarC)=1/3 and P(barAcapBcapbarC)=1/3 , then P(BcapC)

If P(A) = (1)/(2), P(B) = (1)/(3) and P(A nn B) = (1)/(4) then P(B/A)

If P(Acup B) = 5/6, P(AcapB)=1/3 and P(B') = 1/3," then " P(A) =

If P(A) = 3/8 , P(B) = 1/3 and P(AcapB)=1/4 then P(barAcapbarB) equals

If P(A)=(1)/(4),P(B) =(1)/(3) "and " P(A nn B)=(1)/(5) " then " P(bar(B) //bar(A))=?

If P(A nn B)=(1)/(4),P(bar(A)nnbar(B))=(1)/(3) and 2P(A)=3P(B)=a then a=

Suppose A and B are two events such that P(A)=1/4, P(B)=1/3 and P(AnnB)=1/5 , then 4P(A'|B') is equal to ____

NDA PREVIOUS YEARS-PROBABILITY AND PROBABILIYT DISTRIBUTION-Multiple Choice Question
  1. The probability that a ship safely reaches a port is (1)/(3). The prob...

    Text Solution

    |

  2. What is the probability that at least two persons out of a group of th...

    Text Solution

    |

  3. If P(B)=3/4, P(AnnBnnbarC)=1/3 and P(barAnnBbarC)=1/3 then P(BnnC)=

    Text Solution

    |

  4. In a multiple-choice test, an examinee either knows the correct answer...

    Text Solution

    |

  5. Five sticks of length 1, 3, 5, 7 and 9 feet are given. Three of these ...

    Text Solution

    |

  6. Consider the following statements: 1.P(bar(A) uuB) = P(bar(A)) +P(B)...

    Text Solution

    |

  7. The probabilities that a student will solve Question A and Question B ...

    Text Solution

    |

  8. Two fair dice are rolled. What is the probability of getting a sum of ...

    Text Solution

    |

  9. If A and Bare two events such that 2P(A) = 3P(B), where 0 lt P(A) lt P...

    Text Solution

    |

  10. A box has ten chits numbered 0, 1, 2, 3, .., 9. First, one chit is dra...

    Text Solution

    |

  11. One bag contains 3 white and 2 black balls, another bag contains 5 whi...

    Text Solution

    |

  12. Consider the following in respect of two events A and B : ...

    Text Solution

    |

  13. A committee of three has to be chosen from a group of 4 men and 5 wome...

    Text Solution

    |

  14. If two dice are thrown and at least one of the dice shows 5.then the p...

    Text Solution

    |

  15. Let A, B and C be three mutually exclusive and exhaustive events assoc...

    Text Solution

    |

  16. In a bolt factory, machines X, Y, Z manufacture bolts that are respect...

    Text Solution

    |

  17. 8 coins are tossed simultaneously. The probability of getting at least...

    Text Solution

    |

  18. Three groups of children contain 3 girls and 1 boy; 2 girls and 2 boys...

    Text Solution

    |

  19. If the probability of simultaneous occurrence of two events A and B is...

    Text Solution

    |

  20. Two integers xa n dy are chosen with replacement out of the set {0,...

    Text Solution

    |