*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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Guest Message by DevFuse

Started by bonanova, Jan 23 2013 10:27 AM

18 replies to this topic

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?

What is the smallest value of

- Bertrand Russell

Posted 23 January 2013 - 05:01 PM

Spoiler for start

Posted 23 January 2013 - 05:40 PM Best Answer

Spoiler for I get

Posted 23 January 2013 - 06:33 PM

Spoiler for low attemp

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.**

Past prime, actually.

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.

- Bertrand Russell

Posted 26 January 2013 - 01:14 AM

Ah, but there is one. No correct answers yet.I can get an answer, but no simple explanation. But that should do for everyday gambling needs.

Spoiler for The smallest m is...

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.

Posted 26 January 2013 - 02:19 AM

Spoiler for

Posted 26 January 2013 - 02:31 AM

Spoiler for had thought...

Posted 26 January 2013 - 02:44 AM

Yes. Simple concept that cuts thru all the computational complexity.

- Bertrand Russell

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