What is the probability that two squares(smallest dimension) selected randomly from a chess board have only one common corner?
Explanation:
From the
diagram you see that considering the top two rows, there are 14 ways of
choosing two squares with just one common corner.
Like wise
rows (2, 3), (3, 4)…….(7, 8) can be considered.
Therefore no
of ways = 14 x 7 = 98
Total no of ways of choosing two squares from a
chess board = 64C2
Probability =
=
=