Home
Class 12
MATHS
A and B are two independent witnesses (i...

`A and B` are two independent witnesses (i.e., there is no collision between them) in a case. The probability that A will speak the truth is x and the probability that B will speak the truth is y. A and B agree in a certain statement. Show that the probability that the statement is true is `(xy)/(1-x-y+2xy)`.

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    ARIHANT MATHS|Exercise Example|4 Videos

  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise For Session 1|20 Videos

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|52 Videos

Similar Questions

Explore conceptually related problems

If A and B are two independent events, the probability that both A and B occur is 1/8 and the probability that neither of them occours is 3/8. Find the probaility of the occurrence of A.

A and B are two independent events. The probability that both A and B occur is 1/6 and is probability that neither of them occurs is 1/3 . Find the probability of the occurrence of A.

A and B are two candidates seeking admission in a college. The probability that A is selected is 0.7 and the probability that exactly one of them is selected is 0.6. find the chance that B is selected if the admission of one candidate is independent of the other.

A and B try to solve the problem independently. The probability that A solves the problem is 1/2 and that B solves the problem is 1/3 . Find the probability that : both of them solve the problem.

A and B appeared for an interview. The probability of their selection is 1/2 and 1/4 respectively. Find the probability that at least one of them selected

A and B appear for interview. The probability of their selection is : 1/2 and 1/3 respectively. Find the probability that only one of them is selected.

A and B appeared for an interview. The probability of their selection is 1/2 and 1/3 respectively. Find the probability that at least one of them selected

What will be the probability of a certain event ? a. 0 b. 1/2 c. 1 d. 2

Let X be a set containing n elements. If two subsets A and B of X are picked at random, the probability that A and B have the same number of elements is

The probability of A and B achieving a target is 1 /2 and 3/5 respectively. If both of them try then find the probability that at least one of them will achieve the target.

ARIHANT MATHS-PROBABILITY-Exercise (Questions Asked In Previous 13 Years Exam)
  1. A and B are two independent witnesses (i.e., there is no collision bet...

    Text Solution

    |

  2. find the derivative of sin x cos x

    Text Solution

    |

  3. A six-faced fair dice is shown until 1 comes. Then the probability tha...

    Text Solution

    |

  4. Let A and B be two events such that Poverline((AcupB))=(1)/(6),P(AcapB...

    Text Solution

    |

  5. Three houses are available in a locality . Three persons apply for th...

    Text Solution

    |

  6. A randam variable X has Poisson's distribution with mean 2. Then , P(X...

    Text Solution

    |

  7. There are n urns each containing (n+1) balls such that ith urn contain...

    Text Solution

    |

  8. In a telephone enquiry system, the number of phone calls regarding rel...

    Text Solution

    |

  9. Indian and four American men and their wives are to be seated randomly...

    Text Solution

    |

  10. Let H1, H2,..., Hn be mutually exclusive events with P (Hi) > 0, i = ...

    Text Solution

    |

  11. Let E^c denote the complement of an event E. Let E,F,G be pairwise ind...

    Text Solution

    |

  12. A pair of four dice is thrown independently three times. The probabili...

    Text Solution

    |

  13. Two aeroplanes I and II bomb a target in succession. The probabilitie...

    Text Solution

    |

  14. An experiment has 10 equally likely outcomes. Let A and B be two non-e...

    Text Solution

    |

  15. Evluate int (cosx+x) dx

    Text Solution

    |

  16. A die is thrown. Let A be the event that the number obtained is grea...

    Text Solution

    |

  17. It is given that the events A and B are such that P(A)=1/4, P(A/B)=1/2...

    Text Solution

    |

  18. A fair die is tossed repeatedly until a 6 is obtained. Let X denote th...

    Text Solution

    |

  19. A fair die is tossed repeatedly until a 6 is obtained. Let X denote th...

    Text Solution

    |

  20. A fair die is tossed repeatedly until a 6 is obtained. Let X denote th...

    Text Solution

    |

  21. In a binomial distribution B (n, p=(1)/(4)), if the probability of at...

    Text Solution

    |