SOLUTION: 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?

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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?
Found 2 solutions by checkley77, MathTherapy:
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
4/52*4/52=16/2,704=1/169 or.0059 or .59% probability.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
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%2F52

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%2F51

It means that the odds of drawing an ace and a king = %284%2F52%29+%2A+%284%2F51%29 = %281%2F13%29+%2A+%284%2F51%29 = highlight_green%284%2F663%29, or highlight_green%280.006033183%29, or highlight_green%280.6033183%29%.