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Here is a difficult probability question I found interesting and thought I'd share:
Suppose you are standing on an infinitely large square grid at the point (0,0), and suppose that you can see infinitely far but cannot see through grid points. Given a random grid point z = (x, y), where x and y are integers, what is the chance you can see z?
The rather elegant answer is:
More information:
Suppose you are standing on an infinitely large square grid at the point (0,0), and suppose that you can see infinitely far but cannot see through grid points. Given a random grid point z = (x, y), where x and y are integers, what is the chance you can see z?
The rather elegant answer is:
[itex] Prob = \frac{6}{\pi^2} [/itex]
More information:
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