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Photo
* - - - - 1 votes

A tossing game you sure win


Best Answer ThunderCloud, 24 December 2013 - 01:05 AM

Spoiler for Not I

Go to the full post


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9 replies to this topic

#1 harey

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Posted 23 December 2013 - 01:12 PM

Let's toss a fair coin and note the events.

 

When H H H appears, I pay three bucks
When T H H appears, you pay one buck.

 

And then we start over.

 

Who is willing to play?


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#2 witzar

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Posted 24 December 2013 - 01:04 AM

Spoiler for


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#3 ThunderCloud

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Posted 24 December 2013 - 01:05 AM   Best Answer

Spoiler for Not I


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#4 bonanova

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Posted 24 December 2013 - 03:01 PM

Extra credit: for what p(H) is this a fair game?
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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

#5 Nins_Leprechaun

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Posted 25 December 2013 - 04:09 AM

Spoiler for

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#6 harey

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Posted 25 December 2013 - 08:23 PM

Now, I have a problem.

 

witzar was the first to answer and his answer is correct.
ThunderCloud answered 1 minute later and his explication is clearer.

 

Can I attribute two Best Answers?

 

Anyway, congratulations to both that they did not fell into the trap.


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#7 ThunderCloud

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Posted 25 December 2013 - 08:54 PM

Extra credit: for what p(H) is this a fair game?

 

Spoiler for


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#8 bonanova

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Posted 26 December 2013 - 04:00 PM

Now, I have a problem.
 
witzar was the first to answer and his answer is correct.
ThunderCloud answered 1 minute later and his explication is clearer.
 
Can I attribute two Best Answers?
 
Anyway, congratulations to both that they did not fell into the trap.

This happens from time to time. Only one can be marked.
It's your choice. Best is not always first.
Sometimes "showing your work" makes for an instructive as well as a correct answer.
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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

#9 TimeSpaceLightForce

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Posted 26 December 2013 - 07:13 PM

Interesting game.. toss regulation of high-low limits of toss,toss type, or surface nature shall be considered.

For the player, it is his skill factor that is to be considered.


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#10 superprismatic

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Posted 27 December 2013 - 01:08 AM

This type of game is widely known as "Penney's Game".  The Penney is Walter Penny who made quite a few puzzles in the 60's and 70's.

I posted nearly 50 of his puzzles (from unpublished papers of his) a few years ago on this forum.  You can look at some of them if you search

for Penney on this site.  They are quite clever puzzles!


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