Suppose, two cards are selected at random from a pack of 52 playing cards. What is the probability that both cards are less than 10 and neither of them is red?

Cards less than 10 and not red must be black cards numbered 1 through 9 across clubs and spades, totaling 18 eligible cards. The total ways to choose two cards from 52 is 52C2, which equals 1326, and the ways to choose two cards from the 18 eligible black cards is 18C2, which equals 153. Dividing 153 by 1326 simplifies to a probability of 20/221.

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