Letters & Envelopes

Letters & Envelopes

Posers and Puzzles

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T

Joined
29 Feb 04
Moves
22
16 Jun 04

You have four addressed letters and four addressed envelopes. If you close your eyes and randomly insert letters into envelopes, what is the probability that exactly three letters will be in the right envelopes?

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Chief Justice

Center of Contention

Joined
14 Jun 02
Moves
17381
16 Jun 04
1 edit

Originally posted by THUDandBLUNDER
You have four addressed letters and four addressed envelopes. If you close your eyes and randomly insert letters into envelopes, what is the probability that exactly three letters will be in the right envelopes?

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1/4 X 1/3 X 1/2 = 1/24

T

Joined
29 Feb 04
Moves
22
16 Jun 04

Originally posted by bbarr
1/4 X 1/3 X 1/2 = 1/24
Nope.

Chief Justice

Center of Contention

Joined
14 Jun 02
Moves
17381
16 Jun 04

Originally posted by THUDandBLUNDER
Nope.
Tricky. The probability is 0. If three are correct then the fourth must be also. Of course, the probability I gave above was for randomly placing all four envelopes correctly.

C
W.P. Extraordinaire

State of Franklin

Joined
13 Aug 03
Moves
21735
17 Jun 04

Originally posted by bbarr
Tricky. The probability is 0. If three are correct then the fourth must be also. Of course, the probability I gave above was for randomly placing all four envelopes correctly.
Cool! I think you're right bbarr, the answer is zero for the reason you stated. And I was going to add that THUDandBLUNDER should have stated that only one letter should go into any one envelope, but that would given to big a clue to the solution and made it too easy.

S

Joined
10 Jun 04
Moves
2145
17 Jun 04

Im pretty sure it's not zero, because it is possible for it to happen. I can't remember the equation off hand, but it's not quite 4! - I'll consult my communications book -

O
Lucky Patzer

Ohio University

Joined
23 Oct 03
Moves
9879
18 Jun 04

what if i stuffed 3 letters in the correct envelopes and then stuffed the extra letter with another letter leaving an envelop empty then there could be 3 correct and 1 false

T

Joined
29 Feb 04
Moves
22
18 Jun 04
1 edit

Originally posted by Otis
what if i stuffed 3 letters in the correct envelopes and then stuffed the extra letter with another letter leaving an envelop empty then there could be 3 correct and 1 false
Perhaps I should have made it clear that one and only one letter goes into each envelope, in which case the right answer is zero.

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O
Lucky Patzer

Ohio University

Joined
23 Oct 03
Moves
9879
18 Jun 04

0 because you have no hands duh

A

Joined
19 Jun 04
Moves
119
19 Jun 04

well if you only stuff 3 of the envelopes with letters, then what is the probability?

T

Joined
29 Feb 04
Moves
22
19 Jun 04
1 edit

Originally posted by Awry
well if you only stuff 3 of the envelopes with letters, then what is the probability?
Probability = (1/4)(1/3)(1/2) = 1/24

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