Home
Class 12
MATHS
For three events A ,B and C ,P (Exactly ...

For three events `A ,B` and `C ,P` (Exactly one of `A` or `B` occurs) `=P` (Exactly one of `B` or `C` occurs) `=P` (Exactly one of `C` or `A` occurs) `=1/4` and `P` (All the three events occur simultaneously) `=1/6dot` Then the probability that at least one of the events occurs, is : `7/(64)` (2) `3/(16)` (3) `7/(32)` (4) `7/(16)`

A

`3//16`

B

`7//32`

C

`7//16`

D

`7//46`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Papers|21 Videos

  • PROBABILITY

    MCGROW HILL PUBLICATION|Exercise Exercises (Numerical Answer)|28 Videos

  • PERMUTATIONS AND COMBINATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers |17 Videos

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|25 Videos

Similar Questions

Explore conceptually related problems

For three events A, B and C, P (Exactly one of A or B occurs) = P (Exactly one of B or C occurs) = P (Exactly one of C or A occurs) = (1)/(4) and P(All the three events occurs simultaneously = (1)/(16) . Then the probability that at least one of the events occurs, is :

For three events A,B and C,P (Exactly one of A or B occurs) =P (Exactly one of B or C occurs) =P( Exactly one of C or A occurs) occurs) P (All the three events occur simultaneously) =(1)/(6). Then the probability that at least one of the events occurs,is : (7)/(64) (2) (3)/(16) (3) (7)/(32) (4) (7)/(16)

If A and B are two events,the probability that at most one of these events occurs is

For the three events A, B and C, P(exactly one of the events A or B occurs) = P(exactly one of the events B or C occurs) =P(exactly one of the events C or A occurs)= p and P(all the three events occur simultaneously) = p^2, where 0ltplt1/2. Then, find the probability of occurrence of at least one of the events A, B and C.

For the three events A ,B ,a n dC ,P (exactly one of the events AorB occurs)=P (exactly one of the two evens BorC )=P (exactly one of the events CorA occurs)=pa n dP (all the three events occur simultaneously)=p^2w h e r eo

MCGROW HILL PUBLICATION-PROBABILITY-Previous Years AIEEE/JEE Main Papers
  1. A box contains 15 green and 10 yellow balls. If 10 balls are randomly ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. From a group of 10 men and 5 women,four member committees are to be fo...

    Text Solution

    |

  5. E and F are two independent events. The probability that both e and F ...

    Text Solution

    |

  6. Three persons P, Q and R independentlytry to hit a target. If the prob...

    Text Solution

    |

  7. An unbiased coin is tossed eight times. The probability of obtaining a...

    Text Solution

    |

  8. A bag contains 4 red and 6 black balls. A ball is drawn at random from...

    Text Solution

    |

  9. A box 'A' contains 2 white, 3 red and 2 black balls. Another box 'B'...

    Text Solution

    |

  10. A player X has a biased coin whose probability of showing heads is p ...

    Text Solution

    |

  11. Let A,B and C be three events, which are pair-wise independent and ba...

    Text Solution

    |

  12. Two different families A and B are blessed with equal number of child...

    Text Solution

    |

  13. Two cards are drawn successively with replacement from a well-shuffled...

    Text Solution

    |

  14. An urn contains 5 red and 2 green balls. A ball is drawn at random fro...

    Text Solution

    |

  15. An unbiased coin is tossed. If the outcome is a head then a pair of un...

    Text Solution

    |

  16. If the probability of hitting a target by a shooter, in any shot is 1/...

    Text Solution

    |

  17. Two integers are selected at random from the set {1, 2, …, 11}. Given ...

    Text Solution

    |

  18. Let S={1,2,...,20} A subset B of S is said to be "nice", if the sum of...

    Text Solution

    |

  19. There are 30 white balls and 10 red balls in bag. 16 balls are drawn w...

    Text Solution

    |

  20. In a random experiment, a fair die is rolled until two fours are obtai...

    Text Solution

    |