Home
Class 12
MATHS
The probability that A speaks truth is (...

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

A

`7/20`

B

`1/5`

C

`3/20`

D

`4/5`

Text Solution

Verified by Experts

The correct Answer is:
A
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

The probability that A speaks truth is 5/6 , while this probability for B is 4/5 .The probability that they contradict each other when asked to speak on a fact is ___

The probability that A speaks truth is (4)/(5) while this probability for B is (3)/(4) .The probability that they contradict (A) (4)/(5) (B) (1)/(5) (C) (7)/(20) (D) (3)/(20)

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

A speaks the truth in 70 percent cases and B in 80 percent. The probability that they will contradict each. other when describing a single event is

Probability that A speaks truth is 3/5 , and that for B is 7/10 . If they agree on a statement, then probability that this statement is true is

A speaks truth in 80% of the cases while B speaks truth in 60% of the cases. Find the probability that they will contradict each other while stating the same fact.

Probability that A speaks truth is 4/5 . A coin is tossed and A reports that a tail appears. Find the probability that actually there was tail.

MCGROW HILL PUBLICATION-PROBABILITY-Previous Years AIEEE/JEE Main Papers
  1. The mean and variance of a random variable X having a binomial distrib...

    Text Solution

    |

  2. A random variable X has the probability distribution: For the eve...

    Text Solution

    |

  3. The probability that A speaks truth is (4)/(5), while this probability...

    Text Solution

    |

  4. The mean and the variance of a binomial distribution are 4 and 2 respe...

    Text Solution

    |

  5. If A and B are two events such that P[(A uu B)']=1/6, P(A nn B)=1/4 an...

    Text Solution

    |

  6. Three houses are available in a locality. Three persons apply for the ...

    Text Solution

    |

  7. A pair of fair dice is thrown independently three times. The probab...

    Text Solution

    |

  8. Two aeroplanes I and II bomb a target in succession. The probabilities...

    Text Solution

    |

  9. A die is thrown. Let A be the event that the number obtained is gre...

    Text Solution

    |

  10. One ticket is selected at random from 50 tickets numbered 00, 01, 0...

    Text Solution

    |

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

    Text Solution

    |

  12. An urn contains nine balls of which three are red , four are blue and ...

    Text Solution

    |

  13. Four numbers are chosen at random (without replacement) from the set ...

    Text Solution

    |

  14. Consider 5 independent Bernoulli.s trials each with probability of ...

    Text Solution

    |

  15. If C and D are two events such that C subDand P(D) is not equal to 0, ...

    Text Solution

    |

  16. Let A, B, C be pariwise independent events with P(C) >0 and P(AnnBnnC)...

    Text Solution

    |

  17. Three numbers are chosen at random without replacement from {1, 2, 3, ...

    Text Solution

    |

  18. A multiple choice examination has 5 questions. Each question has th...

    Text Solution

    |

  19. Given two independent events, if the probability that exactly one of t...

    Text Solution

    |

  20. If the events A and B are mutually exclusive events such that P(A) = (...

    Text Solution

    |