Question

Five squares of a chessboard are chosen at random, the

Q: Answer-Five squares of a chessboard are chosen at random, the probability that three are of one colour and...

5 squares on a chessboard can be chosen in 64C5 ways Three squares of one colour and two squares of different colour can be chosen in two mutually exclusive ways i 3 white and 2 black ii 3 black and 2 white Thus, the favourable number of cases 32C3 32C2 32C2 32C3 2 32C2 32C3 Required Probability 2 32C2 32C3 64C5

probability that three are of one colour and two of another is

A (32C2 + 32C3) / 64C5

B 32C2 × 32C3 × 32C2 × 32C3 / 64C5

C 2 × 32C2 × 32C3 / 64C5

D (32C2 + 32C3) × 2 / 64C5

E None of these

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Solution