If the squares of a `8 xx 8` chessboard are painted either red or black at random.
The probability that not all the squares in any column are alternating in color is

Options

A. `1//2^(64)`
B. `1//2^(63)`
C. `1//2`
D. none of these

Answer

B

Explanation

This is possible only when the column are alternating red and black. Hence, the required probability is `2//2^(64) = 1//2^(63)`.