A painter draws 64 equal squares of 1 square inch on a square canvas measuring 64 square inches. She chooses t

Question

A painter draws 64 equal squares of 1 square inch on a square canvas measuring 64 square inches. She chooses two squares (1 square inch each) randomly and then paints them. What is the probability that two painted squares have a common side?

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Accepted Answer

112 2016 \frac{112}{2016} 2016 112 ​. From the given information, we get that it is 8 i n c h × 8 i n c h 8\ inch	imes\ 8\ inch 8 in c h × 8 in c h square grid. Total ways of selecting 2 squares out of 64 in 64 C 2 ^{64}C_2 64 C 2 ​ . Two squares with a common side can be selected in the following ways. (i) Horizontal Pairs. In the fir