The second column of the table shows the dealer's probability of going bust based on each card. ...
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“The odds of collecting five cards without busting are roughly 50:1 (other rules can affect this probability).” This isn’t a likely scenario in blackjack. However, it’s much more likely than getting six or seven cards without busting.
5-card Charlie is a special blackjack rule that states the player wins if he has 5 card hand without busting, providing 1.46% house edge. As this option favors the player, it is not so often met at land and online casinos. Note, there is also a 6, 7, 8 and 9 card Charlie. This hand may occur once in fifty hands.
By and large, no – a 5-Card Charlie win does not outrank a dealer 21. The one exception is when the player’s hand also totals 21, in which case the hand pushes. This also means 5-Card Charlie does not beat a dealer blackjack either. Of course, the dealer checks for blackjack at the start, so this can’t happen in most games anyway.
Over several million hands, I get ~0.009 probability that the player successfully reaches having at least five cards and beats the dealer's total. This then becomes a geometric distribution, leading to ~ 330 hands expected to be played to have seen the desired scenario. 5. level 2.
From what I’ve heard no casino in Europe, Asia, or the States recognize five card charlies, or their brother/sister hands six card charlies, or seven card charlies, even though the odds of getting these are 50:1, 400:1, and 4,600:1 respectively.
In the Casino Game of Spanish21, that is dealt in parts of the USA, a 5 card hand of exactly 21 is an automatic winner and pays 3 to 2 odds like a blackjack. 6 cards pays 2 to 1 and 7 cards pays 3–1 The latter I have seen only once. The game is not of Spanish origin. Merely a marketing ploy.
The most important frequencey to note is the chance of being dealt a natural blackjack (natural 21 value. The odds of being dealt a natural blackjack are merely 4.8%. Following this chart you will see that the most common two card hand, at 38.7%, is a hand totaling 1-16, which is considered a decision hand. Two Card Count.