Two red cards and two black cards are lying face down on the

Two red cards and two black cards are lying face down on the table. You pick two different cards and turn them over. What is the probability that the two cards are different colors?

Solution

There are 4C2 = 6 ways to get any 2 cards.

There are 2 ways to get a red card, and 2 ways to get a balck card. Hence, there are 2*2 = 4 ways to get 2 different colored cards.

Thus,

P(different colors) = 4/6 = 2/3 or 0.66666667 [answer]