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in Mathematics by (54.5k points)

Three squares of chess board are selected at random. The probability of getting 2 squares of one colour and other of a different colour is

(A)16/21

(B)8/21

(C)3/32

(D)3/8

1 Answer

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Best answer

(A) is the correct answer. In a chess board, there are 64 squares of which 32 are white and 32 are black. Since 2 of one colour and 1 of other can be 2W, 1B, or 1W, 2B, the number of ways is (32C2 × 32C1) × 2 and also, the number of ways of choosing any 3 boxes is 64C3.

Hence, the required probability 

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