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

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

Text Solution

Verified by Experts

The correct Answer is:
N/a
No. of ways to insert 3 letters into 3 envelops
`=|__3=6`
The letter an envelopes can be arrange in the following manners.

Here in I,II,III,VI methods, at least one letter is in proper envelope.
`:. ` No. of ways to arrange at least one letter in correct envelope `=4`
`:.` Probability that atleast one letter is in correct envelope
`=4/6=2/3`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    NAGEEN PRAKASHAN ENGLISH|Exercise NCERT QUESTIONS|43 Videos

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 4.1|1 Videos

  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise MISCELLANEOUS EXERCISE|12 Videos

Similar Questions

Explore conceptually related problems

There sre three letters asnd three envelopes. Find the total number of wys in which letters can be put into the envelopes so that each envelope has only one letter.

There are 6 letters and 6 addressed envelopes. Find the probability that at least one letter goes into the wrong envelope.

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

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

There are n letters and n addressed envelopes . If the letters are placed in the envelopes at random , what is the probability that all the letters are not placed in the right evelope ?

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

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

A letter is picked at random from the letters of the work UNCOPYRIGHTABLE. Find the probability that it is a vowel.

In a random arrangement of the letters of the "COMMERCE" , find the probability that all vowels come together.

Suppose 4 letters are taken out of 4 different envelopes. In how many ways, can they be reinserted in the envelopes so that no letter goes in to its original envelope?