Three squares of a chess board are selected at random. What is the probability of getting 2 squares of one colour and one of different colour ?

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Please find below the solution to the asked query:

There are 64 squares: 32 white and 32 black.Total ways of selecting 3 squares=64C3Favorable ways=Two Black squares and One white square ORTwo White squares and One Black square=32C2×32C1+32C2×32C1=2×32C2×32C1Required probabilty=Favorable waysTotal ways=2×32C2×32C164C3=2×32×312×1×3264×63×623×2×1=6×32×31×3264×63×62=1621 Answer

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