Home
Class 11
MATHS
Three letters are dictated to three pers...

Three letters are dictated to three persons and an envelope is addressed to each of them, the letters, are inserted' into the envelopes at random so that each envelope contains exactly one letter. Find the probability that at least one letter is in its proper envelope.

Text Solution

Verified by Experts

To letters .=3. r of envelopes .=3. Therefore, the probability of at least one letter is in its proper envelope. .. =1-P (one letter into an envelope) =1-1/3=2/3 ..
Promotional Banner

Topper's Solved these Questions

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    V PUBLICATION|Exercise QUESTION BANK|43 Videos

  • RELATIONS AND FUNCTIONS

    V PUBLICATION|Exercise QUESTIONBANK|79 Videos

Similar Questions

Explore conceptually related problems

(b)Three letters are written to different persons and addresses on the envelope are written.without looking at the addresses,the letters are put into the envelopes,the probability that letters go into right envelopes.

A word consists of 9 letters: 5 consonants and 4 vowels. Three letters are chosen at random. Find the probability that the selection of the three letters contains more than one vowel.

Arun writes letter to 3 to his friends He asks each of them to copy the letter and mail to 3 different persons with the request that they continue the chain similarly . Assuming that the chain is not broken and that it costs re.1 to mail one letter. Find the cost if all the letters in the 8 sets are considered.

A bag contains 8 red and 5 white balls.Three balls are drawn at random.Find the probability that one ball is red and two balls are white.

The letters of the word "SOCIETY" are placed at random in a row Find the number of arrangements of the letters of the given word in a row so that the three vowels come together.

Suppose that the letters of the word "INSTITUTION" are arranged together at random. Find the number of arrangements of the letters so that the three T's are together.

A person writes a letter to four of his friends. He asks each one of them to copy the letter 'and mail to four different persóns with instruction that they move the chain similarly. Assuming that the chain is not broken and that it costs 50 paise to mail one letter. Find the amount spent on the postage when 8^ th set of letter is mailed.

The letters of the word "SOCIETY" are placed at random in a row What is the probability that in the random arrangement of the letters of the given word the three vowels come together?

A person writes a letter to four of his friends. He asks each one of them to copy the letter and mail to four different persons with instruction that they move the chain similarly. Assuming that the chain is not broken and that it costs 50 paise to mail one letter. Find the amount spent on the postage when the 8 set of letteris is mailed.

V PUBLICATION-PROBABILITY-QUESTION BANK
  1. In a certain lottery ticket 10000 tickets are sold and 10 equal prizes...

    Text Solution

    |

  2. Out of 100 students,two sections of 40 and 60 are formed.If you and yo...

    Text Solution

    |

  3. Three letters are dictated to three persons and an envelope is address...

    Text Solution

    |

  4. A and B are two events such that P(A)=0.54, P(B)=0.69 and P(A nn B)=0....

    Text Solution

    |

  5. From the employees of a company, 5 persons are selected to represent t...

    Text Solution

    |

  6. The number lock of a suitcase has 4 wheels, each labelled with ten dig...

    Text Solution

    |

  7. From a group of 2 boys and 3 girls, two childiren are selected. Find t...

    Text Solution

    |

  8. A coin is tossed. If it shows head, we draw a ball from a bag consisti...

    Text Solution

    |

  9. An experiment consists of rolling a die and then tossing a coin once i...

    Text Solution

    |

  10. A coin is tossed repeatedly until a head comes up. Write the sample sp...

    Text Solution

    |

  11. An experiment involves rolling a pair of dice and recording the number...

    Text Solution

    |

  12. From a group of 2 boys and 3 girls, two children are selected at rando...

    Text Solution

    |

  13. Two dice are thrown and the sum of the numbers which come up on the di...

    Text Solution

    |

  14. Find the probability of gétting a head in a toss of an unbiased coin.

    Text Solution

    |

  15. In a simultaneous toss of two coins,find the probability of getting: 2...

    Text Solution

    |

  16. Three coins are tossed once. Find the probability of getting. (i) 3 he...

    Text Solution

    |

  17. A die is thrown. Find the probability of getting (i) an even number (i...

    Text Solution

    |

  18. Find the probability that a leap year should have 53 sundays.

    Text Solution

    |

  19. Three dice are thrown together. Find the probability of getting a tota...

    Text Solution

    |

  20. What is the probability that a nümber selected from the numbers 1,2,3....

    Text Solution

    |