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## Blackjack

Probability puzzles require you to weigh all the possibilities and pick the most likely outcome.

 Puzzle ID: #41518 Fun: (2.48) Difficulty: (2) Category: Probability Submitted By: TRILLIONAIRE

When playing a game of blackjack, what are the odds that you will be dealt blackjack on the first deal? Assume you are playing with one opponent and your opponent is the dealer.
Note: 10, jack, queen and king all are worth 10. Aces are worth 11. You have blackjack when the values of both your cards add up to 21. There is only one deck of cards being dealt out.

To receive a blackjack, either my first card is worth 10 and the second is an ace or vice versa, which makes the probability...

(16/52)*(4/51) + (4/52)*(16/51) = 128/2652

...which is approximately 4.83%

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