text: The number of different ways you can pick a couple is 15 (C(6,2)in combinatory calculus)\nThe number of different couples having a king is 6:\nK1 K2\nK1 ---\nK2 ---\n--- K1\n--- K2\nK2 K1\n\nSo the probability to pick a king is 6/15 = 2/5\n\nThe same number you get if you consider the "worse case" (first pick not a king) and calculate the probability to pick one of the 2 kings among the 5 cards left.\n\nSo it does work.\n2/5 is exactly 40%.\nThus the probability not to pick any king is the complementary: 100% - 40% = 60%