# If the squares of a 8 xx 8 chess board are painted either red and black at random .The probability that not all squares is any alternating in colour

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If the squares of a 8 xx 8 chess board are painted either red and black at random .The probability that not all squares is any alternating in colour is
A. (1 - 1//2^(7))^(8)
B. 1//2^(56)
C. 1 - 1//2^(7)
D. none of these

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The total number of ways of painting first column when colors are not alternating is 2^(8) - 2. The total number of ways when no column has alternating colors is (2^(8) - 2)^(8)//2^(24).

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