Posted by **Anonymous** on Wednesday, March 27, 2013 at 3:05pm.

The squares of a 3×3 grid of unit squares are coloured randomly and independently so that each square gets one of 5 colours. Three points are then chosen uniformly at random from inside the grid. The probability that these points all have the same colours can be expressed as a/b, where a and b are coprime positive integers. What is the value of a+b?

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