what's the probability of drawing a Jack, queen or king from a deck of cards over 3 draws?

Answer 1

12 face cards. probability of drawing face card = 1 - probability of not drawing a face card in 3 draws

there are 40 non-face cards in a deck

assume sampling without replacement

probability of not getting face card in first draw is 40/52

now have 39 non-face cards and 51 cards, so

probability of not getting face card in second draw is 39/51

now have 38 non-face cards and 50 cards, so

probability of not getting face card in third draw is 38/50

probability of not getting a face card in 3 draws is 40/52 * 39/51 * 38/50 = 0.447

so probability of drawing a face card is 1 - 0.447 = 0.553