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) `=1/16dot` Then the probability that at least one of the events occurs, is :

A

`(7)/(16)`

B

`(7)/(64)`

C

`(3)/(16)`

D

`(7)/(32)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|102 Videos
  • PROBABILITY

    VMC MODULES ENGLISH|Exercise NUMERICAL VALUE TYPE FOR JEE MAIN|15 Videos
  • PERMUTATION & COMBINATION

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|50 Videos
  • PROPERTIES OF TRIANGLE

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|50 Videos

Similar Questions

Explore conceptually related problems

For the three events A ,B ,a n d \ C ,P (exactly one of the events AorB occurs) =P (exactly one of the two evens BorC ) =P (exactly one of the events CorA occurs) =p and P (all the three events occur simultaneously) =p^2 where 0 < p < 1/2 . Then the probability of at least one of the three events A ,Ba n d \ C occurring is

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 two evens B or C )= P (exactly one of the events C or A occurs)= p and P (all the three events occur simultaneously)= p^2 where 0 < p < 1//2 . Then the probability of at least one of the three events A , B and C occurring 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 n independent events A_i's, p(A_i)=1/(1+i),i=1,2,...n . The probability that at least one of the events occurs, is

If M and N are any two events, then the probability that exactly one of them occurs is

If A and B are two events, the probability that exactly one of them occurs is given by

If A and B are two independent events, then the probability that only one of A and B occur is

If A and B are independent, then P (exactly one of A,B occurs)

If A and B are two events write the expression for the probability of occurrence of exactly one of two events.

VMC MODULES ENGLISH-PROBABILITY-JEE MAIN (ARCHIVE)
  1. Two different families A and B are blessed with equal number of child...

    Text Solution

    |

  2. A box contains 15 green and 10 yellow balls. If 10 balls are randomly ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. Ea n dF are two independent events. The probability that both Ea n dF ...

    Text Solution

    |

  8. Let two fari six-faced dice A and B be thrown simltaneously. If E(1) i...

    Text Solution

    |

  9. If A and B are any two events such that P(A)=2/5 and P(AnnB)=3/20 then...

    Text Solution

    |

  10. An experiment succeeds twice as often as it fails. Find the probabi...

    Text Solution

    |

  11. If 12 indentical balls are to placed in 3 indntical boxes, then the pr...

    Text Solution

    |

  12. The mwan and variance of a binomial variable X are and 1, respectivil...

    Text Solution

    |

  13. Let X be a set containing n elements. Two subsets A and B of X are cho...

    Text Solution

    |

  14. If the sides of a triangle are decided by the throw of a single dice t...

    Text Solution

    |

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

    Text Solution

    |

  16. A multiple choice examination has 5 questions. Each question has three...

    Text Solution

    |

  17. A person throws two fair dice. He wins Rs.15 for throwing a doublet (s...

    Text Solution

    |

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

    Text Solution

    |

  19. Three of the six vertices of a regular hexagon are chosen the rando...

    Text Solution

    |

  20. Let S = (1, 2, …, 20}. A subset B of S is said to be ''nice'', if the ...

    Text Solution

    |