The odds of getting a ten-value as the second card are 16/51. Looking at the second scenario, the odds of getting an ace as your first card is 4/52 (4 aces divided by 52 cards) which reduces to 1/13. Multiplying 4/13 by 4/51 gives us the odds of getting a ten-value card followed by an ace. The odds of getting an ace as your second card are 4/51. 16 ten-value cards divided by the total number of cards in 1 deck. The odds of getting a ten-value as your first card is 16/52. If we add the probabilities of these two events, this will give us the odds of getting blackjack. You can get blackjack in one of two orders: In a single deck game there are 4 aces and 16 ten-value cards. Of course the essential ingredients to blackjack are an ace and a ten-value card (10, jack, queen, or king). So what are the odds of getting dealt a blackjack? The probability depends on how many decks are played.
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