Question

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

Answer 1

Correct Answer - A
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)`.