Home
Class 12
MATHS
Three letters are written to different p...

Three letters are written to different persons and addressess to three envelopes are also written. Without looking at the addresses, the probability that probability that the letters go into right envelopes, is

A

`(2)/(3)`

B

`(1)/(6)`

C

`(1)/(5)`

D

`(2)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
B

Total number of ways placing 3 letters in three envelopes
` = 3! = 3 xx 2 xx 1 = 6`
Out of these ways only one ways is correct.
`therefore` The required probability ` = (1)/(6)`
Promotional Banner

Topper's Solved these Questions

  • PRACTICE SET 16

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Paper - 2 (MATHEMATICS )|50 Videos
  • PRACTICE SET 18

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER 2 (MATHEMATICS)|50 Videos

Similar Questions

Explore conceptually related problems

n letters are written to n different persons and addresses on the n envelopes are also written. If the letters are placed in the envelopes at random,the probability that at least one letter is not placed in the right envelope,is (A) 1-(1)/(n) (B) 1-(1)/(2n) (C) 1-(1)/(n^(2))(D)1-(1)/(n!)

Three letters are written to different persons and their addresses are also written on three envelopes. Letters are put at random in the envelopes. Then the probability that at least two letters are put in correct envelopes, is _______.

Three letters are written to different persons and their addresses are also written on three envelopes. Letters are put at random in the envelopes. Then the probability that at least one letter is put in the correct envelope, is ______.

n letters are written to different persons and their addresses are also written on n envelopes. Letters are put at random in the envelopes. Then the probability that at least one letter is put in wrong envelope, is _______.

There are n letters and n addressed envelopes.Find the probability that all the letters are not kept in the right envelope.

There are 4 letters and 4 addressed envelopes. Find the probability that all the letters are not dispatched in right envelopes.

Ravi writes 5 letters and addresses 5 envelopes. If the letters are placed in the envelopes at random, then the probability that a least one letter goes into the wrong envelope is

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 17-MATHEMATICS
  1. Three digit numbers are formed with the digits 0,2,4,6 and 8. Write th...

    Text Solution

    |

  2. The angle betwene the line vecr=(1+2mu)hati+(2+mu)hatj+(2m-1)hatk and ...

    Text Solution

    |

  3. In triangle ABC, if ( a + b + c) (a-b+c) = 3 ac, then

    Text Solution

    |

  4. If cot x + cosec x = sqrt(3)x, then the principal value of (x-(pi)/(6)...

    Text Solution

    |

  5. The midpoint of the chord 4x-3y=5 of the hyperbola 2x^2-3y^2 = 12 is

    Text Solution

    |

  6. Show that the sum of all odd integers between and 1000 which are divis...

    Text Solution

    |

  7. The sum of infinity of the progression 9-3+1-(1)/(3)+… is

    Text Solution

    |

  8. Two finite sets A and 8 have m and n element respectively. If the tota...

    Text Solution

    |

  9. If A={1,2,3,4}" and "B={1,2,3,4,5,6} are two sets and function f: A to...

    Text Solution

    |

  10. The angle between the pair of straight lines y^(2)sin^(2)theta-xy sin^...

    Text Solution

    |

  11. A unit vector in xy-plane that makes an angle of 45^0 with the vector ...

    Text Solution

    |

  12. The function {{:(|x-3|,,ifxge1),((x^(2))/(2)-(3x)/(2)+(13)/(4),, if xl...

    Text Solution

    |

  13. if y = x + x^(2) + x^(3) + …oo, where |x| lt 1, then for |y| lt 1, (d...

    Text Solution

    |

  14. If "y"="tan"^(-1)"\ "[(sqrt(1+"x"^2-sqrt(1-"x"^2)))/(sqrt(1+"x"^2+)"\ ...

    Text Solution

    |

  15. For all values of theta,3-costheta+cos(theta+(pi)/(3)) lie in the inte...

    Text Solution

    |

  16. The value of cot(cosec^(-1)(5)/(3)+tan^(-1)""(2)/(3)) is

    Text Solution

    |

  17. The equation of pair of lines joining origin to the points of intersec...

    Text Solution

    |

  18. Three letters are written to different persons and addressess to three...

    Text Solution

    |

  19. A line makes acute angle of alpha, beta and gamma with the coordinate...

    Text Solution

    |

  20. The probability that number selected at random from that number 1, 2, ...

    Text Solution

    |