WOLFRAM|DEMONSTRATIONS PROJECT

Montmort's Problem

​
number of letters
6
new simulation
17
envelopes:
1
2
3
4
5
6
letters in random order:
5
2
4
6
3
1
1
2
3
0
0.368056
1
0.366667
2
0.1875
3
0.0555556
4
0.0208333
5
0.
6
0.00138889
Mr. M. wrote a number of letters and prepared the corresponding envelopes. He then put the letters into the envelopes at random. How many letters will be in the correct envelope? The Demonstration shows the results of this experiment and the exact probabilities of the various numbers of correct matches.