Four unit squares are chosen at random on a chessboard. What is the probability that three of them are of one colour and fourth is of opposite colour?

Question

anonymous · Answer

Not everyone knows chess, you should probably list the other information

anonymous · Answer

A Chess board is  8 by 8. Half of the squares are white. The other half is black.

anonymous · Answer

32C3 (1/2)^3 x 32C1(1/2)^1/ 64C4

kropot72 · Answer

The probabilities of selecting one colour or the other colour at random are both 0.5. The binomial distribution applies to this question. The probability of selecting 3 of the same colour in a sample of 4 is given by
$$4C3 \times 0.5^{3} \times 0.5^{1}=4\times0.5^{4}=you\ can\ calculate$$