Question 221102
Two cards are drawn without replacement from an ordinary deck of 52 playing cards. What are the odds in favor of drawing an ace and a king? 


Since there are 4 aces in the deck of 52 cards, then the probability of drawing an ace is {{{4/52}}}


Since the 1st card was NOT replaced (without replacement), then we'll have 51 cards remaining by the time the 2nd card is drawn, and since there are 4 kings in the deck, then the odds of drawing a king is: {{{4/51}}}


It means that the odds of drawing an ace and a king = {{{(4/52) * (4/51)}}} = {{{(1/13) * (4/51)}}} = {{{highlight_green(4/663)}}}, or {{{highlight_green(0.006033183)}}}, or {{{highlight_green(0.6033183)}}}%.