Home
Class 12
MATHS
A man P speaks truth with probability p ...

A man P speaks truth with probability p and another man A speaks truth with probability 2p.
Statement-1 If P and Q contradict each other with probability `(1)/(2)`, then there are two values of p.
Statement-2 a quadratic equation with real coefficients has two real roots.

A

Statement-1 is true, Statement-2 is true: Statement-2 is a correct explanation for Statement-1

B

Statement-1 is true, Statement-2 is true: Statement-2 is not a correct explanation for Statement-1

C

Statement-1 is true, Statement-2 is false

D

Statement-1 is false, Statement-2 is true

Text Solution

Verified by Experts

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

The values of p for which the quadratic equation px^2+2x+p=0 has real roots are:

The probability that A speaks truth is 4/5 while this probability for H is (3)/(4). The probability that they contradict each other when asked to speak on a fact is :

Find the values of p/k for each of the following quadratic equations, so that they have real roots— :- x^2-4x+k=0 .

If p+1/p=2 then the value of p^2-1/p^2 is :

Find the values of p/k for each of the following quadratic equations, so that they have real roots— :- 4x^2+8x-p=0 .

Find the values of p/k for each of the following quadratic equations, so that they have real roots— :- px^2+6x+1=0 .

Find the values of p/k for each of the following quadratic equations, so that they have real roots— :- 5x^2-kx+1=0 .

Find the values of p/k for each of the following quadratic equations, so that they have real roots— :- 2x^2+3x+k=0 .

Find the values of p/k for each of the following quadratic equations, so that they have real roots— :- 2x^2+kx+3=0 .

Find the value of p/k for each of the following quadratic equations, so that they have two equal roots— :- x^2+px+1=0 .

ARIHANT MATHS-PROBABILITY-Exercise (Questions Asked In Previous 13 Years Exam)
  1. A man P speaks truth with probability p and another man A speaks trut...

    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

    |