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The Ant Walk

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3 replies to this topic

#1 James33


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Posted 02 July 2012 - 01:40 PM

I don't claim to have made this puzzle, nor do I have a solution.

The is a circle of radius 3 meters with an ant in the centre. The ant picks a direction randomly, all angles have an equal probability. It walks in this direction for 1 meter before fogetting where it was going and chosing another direction randomly. This could go on forever, but on average how many meters has the ant travelled before it exists the circle?

Computers are allowed, but I do want to see a mathematical solution.
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#2 jim


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Posted 02 July 2012 - 03:47 PM

Spoiler for spoiler added

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#3 fabpig


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Posted 02 July 2012 - 04:42 PM

Thought I'd seen it before....http://brainden.com/.../topic/13797--/

Only the radius has been changed.

Edited by fabpig, 02 July 2012 - 04:44 PM.

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#4 bonanova



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Posted 02 July 2012 - 05:40 PM

The previous thread meandered without a definitive answer.
Since I contributed a question that that thread, I'll answer it after answering the OP.

Spoiler for Present case - I think this was unanswered in the previous thread

jim gives the same answer above. ;)

Spoiler for Simpler case

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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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