Home
Class 12
MATHS
The probabilit that A speaks truth is 4...

The probabilit that A speaks truth is `4/5` , while the probability for B is `3/4`. The probability that they contradict each other when asked to speak on a facts is :

A

`3/20`

B

`1/5`

C

`7/20`

D

`4/5`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/JEE EXAMINATIONS|13 Videos
  • PROBABILITY

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS (QUESTIONS FROM KARNATAKA CET & COMED )|11 Videos
  • PROBABILITY

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS (QUESTIONS FROM KARNATAKA CET & COMED )|11 Videos
  • PERMUTATIONS AND COMBINATIONS

    MODERN PUBLICATION|Exercise Recent Competitive Questions|6 Videos
  • QUADRATIC EQUATIONS

    MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/JEE EXAMINATIONS|13 Videos

Similar Questions

Explore conceptually related problems

X speaks truth in 60% and 'Y' in 50% of the cases. The probability that they contradict each other while narrating the same incident is

Probability that A speaks truth is 4/5. A coin is tossed. A reports that a head appears. The probability that actually there was head is

Probabilities that a plant will live is 3/4 and the probability that another plant lives is 1/3 . The probability that only one of them lives is :

The probability that a person is not swimmer is 0.3. The probability that out of 5 persons 4 are swimmer is

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.

The probability that a man lives after 10 years is 1/4 and that his wife is alive after 10 years is 1/3 . The probability that neither of them is alive after 10 years is :

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) .

MODERN PUBLICATION-PROBABILITY-MULTIPLE CHOICE QUESTIONS (LEVEL - II )
  1. Three of the six vertices of a regular hexamgon are chosen at rand...

    Text Solution

    |

  2. The chance of throwing a total of 3 or 5 or 11 with two dice is :

    Text Solution

    |

  3. Four persons are chosen at random from a group containing 3 men , ...

    Text Solution

    |

  4. A box contains 3 white and 2 red balls . If we draw one ball and ...

    Text Solution

    |

  5. The probability that a company executive will travel by train is 2/3 a...

    Text Solution

    |

  6. There are four machines and it is known that exactly two of them a...

    Text Solution

    |

  7. A six faced dice is so biased that it is twice as likely to show an ...

    Text Solution

    |

  8. If P(A) = 65 , P(B) = 80 , then P(Acap B) lies in the interval :

    Text Solution

    |

  9. A problem in mathematics is given to three stdents A,B,C and their r...

    Text Solution

    |

  10. Events A,B,C are mutually exclusive events such that P(A) = (3x+1)...

    Text Solution

    |

  11. The probabilit that A speaks truth is 4/5 , while the probability fo...

    Text Solution

    |

  12. Two numbers are chosen from [1,2,3,4,5,6] one after another without r...

    Text Solution

    |

  13. A random variable X has Poisson distrbution with mean 2 . Then P(X ...

    Text Solution

    |

  14. One Indian and four American men and their wives are to be seated r...

    Text Solution

    |

  15. A pair of four dice is thrown indepandently three times . The probabil...

    Text Solution

    |

  16. It is given that events A and B are such that : P(A) = 1/4 ,P (A//B) =...

    Text Solution

    |

  17. A die is thrown . Let A be the event that the number obtained is great...

    Text Solution

    |

  18. Let E^(c ) denote the complement of an event E . Let E,F ,G be pair -...

    Text Solution

    |

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

    Text Solution

    |

  20. One ticket is selected at random from 50 tickets numbered 00,01,02……4...

    Text Solution

    |