## One for the mathematicians out there...

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- One for the mathematicians out there...

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##### One for the mathematicians out there...

##### One for the mathematicians out there...

03-12-2012 1:22 PM

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I'm an interested, fairly regular but not fanatical watcher of TV snooker, and wondered how many combinations of post-break ball layouts there are, or if indeed it is an impossible question to answer.

The professional table is 6ft x 12ft (1.8m x 3.7m)

The professional ball is 2 1/16" in diameter (52.5mm)

Which gives slightly over 2272 full sized circles on the table, but of course balls don't always conveniently come to rest exactly in a full space.

15 reds, 1 of each yellow, green, brown, blue, pink and black. And of course the white.

Which are pretty much the only constants.

Lets be kind and say a player pots (unlikely but not impossible) a red off the break and competes a 147 unbroken break, 1 red will be removed at each odd numbered stroke of the cue followed by a colour on the even strokes.but this colour will be replaced on its starting spot until after all the reds are potted, after that the colours will go consecutively and not replaced.

When faced with two choices, simply toss a coin. It works not because it settles the question for you. But because in that brief moment while the coin is in the air. You suddenly know what you are hoping for.

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##### Re: One for the mathematicians out there...

##### Re: One for the mathematicians out there...

03-12-2012 5:25 PM

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However, it's been a decade since I had any formal statistics tuition and I may well be wrong ... you also need to decide whether to count the 'interim' position when the colour is replaced after being potted - my solution does not count this,

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##### Re: One for the mathematicians out there...

##### Re: One for the mathematicians out there...

03-12-2012 5:36 PM

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Quote from: Petlew I know we have a couple of mathematicians who like to have a go at "impossible" theory's.

I'm an interested, fairly regular but not fanatical watcher of TV snooker,

And if you are not fanatical about it...what sort of questions would you come out with, if you were ? ?

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##### Re: One for the mathematicians out there...

##### Re: One for the mathematicians out there...

03-12-2012 5:38 PM

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##### Re: One for the mathematicians out there...

##### Re: One for the mathematicians out there...

03-12-2012 6:27 PM

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Oh yes, thank you Ben Trimble. Next time somebody asks that question, I shall be able provide an educated answer....

Unless someone has a better answer of course

When faced with two choices, simply toss a coin. It works not because it settles the question for you. But because in that brief moment while the coin is in the air. You suddenly know what you are hoping for.

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##### Re: One for the mathematicians out there...

##### Re: One for the mathematicians out there...

03-12-2012 6:56 PM

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##### Re: One for the mathematicians out there...

##### Re: One for the mathematicians out there...

03-12-2012 7:09 PM

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**Forum Moderator** and ** Customer***Courage is resistance to fear, mastery of fear, not absence of fear - Mark Twain*

He who feared he would not succeed sat still

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##### Re: One for the mathematicians out there...

##### Re: One for the mathematicians out there...

03-12-2012 7:12 PM

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##### Re: One for the mathematicians out there...

##### Re: One for the mathematicians out there...

03-12-2012 7:31 PM

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Quote from: Petlew 1 red will be removed at each odd numbered stroke of the cue followed by a colour on the even strokes.but this colour will be replaced on its starting spot until after all the reds are potted, after that the colours will go consecutively and not replaced.

Unless of course a 'free ball' is declared at one (or more) points in the game - which of course changes the equation a tad?

M

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##### Re: One for the mathematicians out there...

##### Re: One for the mathematicians out there...

03-12-2012 7:44 PM

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When faced with two choices, simply toss a coin. It works not because it settles the question for you. But because in that brief moment while the coin is in the air. You suddenly know what you are hoping for.

##
##### Re: One for the mathematicians out there...

##### Re: One for the mathematicians out there...

03-12-2012 7:47 PM

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\Runs to hide behind the cushion

**Forum Moderator** and ** Customer***Courage is resistance to fear, mastery of fear, not absence of fear - Mark Twain*

He who feared he would not succeed sat still

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