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Best Answer superprismatic, 23 January 2013 - 05:40 PM

Spoiler for I get

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18 replies to this topic

#1 bonanova

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Posted 23 January 2013 - 10:27 AM

You throw m fair six-sided dice and bet that all numbers from 1 to 6 will show at least once.
What is the smallest value of m that gives you a winning bet on average?
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#2 TimeSpaceLightForce

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Posted 23 January 2013 - 05:01 PM

Spoiler for start


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#3 superprismatic

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Posted 23 January 2013 - 05:40 PM   Best Answer

Spoiler for I get


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#4 TimeSpaceLightForce

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Posted 23 January 2013 - 06:33 PM

Spoiler for low attemp


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#5 Prime

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Posted 24 January 2013 - 12:19 PM

I can get an answer, but no simple explanation. But that should do for everyday gambling needs.

Spoiler for The smallest m is...


Edited by Prime, 24 January 2013 - 12:27 PM.

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Past prime, actually.


#6 bonanova

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Posted 25 January 2013 - 08:59 AM

I can get an answer, but no simple explanation. But that should do for everyday gambling needs.

Spoiler for The smallest m is...


Ah, but there is one. No correct answers yet.
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#7 superprismatic

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Posted 26 January 2013 - 01:14 AM

I can get an answer, but no simple explanation. But that should do for everyday gambling needs.

Spoiler for The smallest m is...

Ah, but there is one. No correct answers yet.

Since I got my answer using Prime's method, I'll now consult Strunk and White to see what else the OP could possibly mean.  Possibly a weighted average m?  Anyway, I must look in the basement for that copy of Strunk and White which I know is down there somewhere.


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#8 phil1882

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Posted 26 January 2013 - 02:19 AM

Spoiler for

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#9 plainglazed

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Posted 26 January 2013 - 02:31 AM

Spoiler for had thought...


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#10 bonanova

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Posted 26 January 2013 - 02:44 AM

Yes. Simple concept that cuts thru all the computational complexity.
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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell




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