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If the squares of a 8 xx 8 chess board ...

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

Text Solution

Verified by Experts

The correct Answer is:
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)`.
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