I am trying to find the probability of neither the player nor the dealer being dealt a blackjack (an ace with a ten, jack, queen, or king) in a blackjack game with a freshly shuffled deck. This is what I did:(adsbygoogle = window.adsbygoogle || []).push({});

1 - P(at least one gets a blackjack)

= 1 - [ 4*16/(52c2) + 3*15/(50c2)]

However, I get an answer that's about one percent higher than it should be. The right answer is .9052.

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# Neither the player nor the dealer is dealt a blackjack

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