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. `(.^(64)C_(32))/(2^(64))`
B. `(64!)/(32!.2^(64))`
C. `(2^(32) - 1)/(2^(64))`
D. none of these

Answer 1

Correct Answer - A
The number of ways the square has equal number of red and black square is `.^(64)C_(32)`. Hence, the required probability is `.^(64)C_(32)//2^(64)`.