Home
Class 12
MATHS
If P(A) = 1/2, P(B) = 1/3, P( C) = 1/2 a...

If `P(A) = 1/2`, `P(B) = 1/3`, `P( C) = 1/2` and `P(AcapB)= P(BcapC) = P(CcapA) = 1/4` and `P(AcapBcapC) = 1/8`, then the probability that at least one of them appears is

A

`17/24`

B

`19/24`

C

`13/24`

D

`11/24`

Text Solution

Verified by Experts

The correct Answer is:
c
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION - C Objective Type Questions (More than one options are correct))|21 Videos

  • PROBABILITY

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION - D Linked Comprehension Type Questions)|21 Videos

  • PROBABILITY

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION - A Competition Level Questions)|114 Videos

  • PRINCIPLE OF MATHEMATICAL

    AAKASH INSTITUTE|Exercise Section-D:(Assertion-Reason Type Questions)|12 Videos

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment (Section - J) Aakash Challengers Questions|8 Videos

Similar Questions

Explore conceptually related problems

If P(A) = 1/2 and P(AcapB)=1/3 , then the probability that A happens but B does not happen is

If P(A) = 1/2, P(B) = 1/3 and P(A cap B) = 7/12," than " P (A'capB')=

If P(A') = 1/3, P(B) = 3/4and P(A cap B) = 1/2," than " P (A'capB')=

If P(AcapB) = P(A'capB') = 1/2 and 2P(A) = P(B) = p, then p =

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

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

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

If P(A)=1//4, P(B)=1//2, P(A cup B)=5//8, " then " P(A cap B) is

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

AAKASH INSTITUTE-PROBABILITY-ASSIGNMENT (SECTION - B Objective Type Questions (One option is correct))
  1. A bag contains 3 red and 5 black balls. Two balls are drawn at random....

    Text Solution

    |

  2. If n is a positive integer then the probability that 3^(n) has 3 at un...

    Text Solution

    |

  3. If P(A) = 1/2, P(B) = 1/3, P( C) = 1/2 and P(AcapB)= P(BcapC) = P(Ccap...

    Text Solution

    |

  4. If P(A) = 1/2 and P(AcapB)=1/3, then the probability that A happens bu...

    Text Solution

    |

  5. Three distinct numbers are selected from the first 100 natural numbers...

    Text Solution

    |

  6. A number is selected from first 100 natural numbers. The probability t...

    Text Solution

    |

  7. Five horses are in race. Mr. X selected two of horses at random and b...

    Text Solution

    |

  8. 5 cards are drawn from a pack of 52 cards. The probability that these ...

    Text Solution

    |

  9. Let n = 2^3 4^5 6^8 5^4. A positive factor is taken atrandom from the ...

    Text Solution

    |

  10. If p and q are chosen randomly from the set {1, 2, 3, ………, 10} with re...

    Text Solution

    |

  11. 12 members of a committee are to sit down at random round a table. Pro...

    Text Solution

    |

  12. Two integers x and y are chosen with replacement out of the set {0, 1,...

    Text Solution

    |

  13. Dialing a telephone number, an old man forgets the last two digits rem...

    Text Solution

    |

  14. There are four balls of different colours and four boxes of colours sa...

    Text Solution

    |

  15. Four digit number is formed from all possible ways. The probability th...

    Text Solution

    |

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

    Text Solution

    |

  17. Given two events A and B. If odds against A are 2 : 1 and those in fov...

    Text Solution

    |

  18. A bag contains 5 brown and 4 white socks. A man pulls out two socks. ...

    Text Solution

    |

  19. Two numbers are selected randomly from the set S={1,2,3,4,5,6} without...

    Text Solution

    |

  20. Out of 20 consecutive numbers, two are chosen at random, the probabili...

    Text Solution

    |