Blackjack Probabilities

According to your hand, what are the chances of going over 21 when you ask for another card?


Hand 21 20 19 18 17 16 15 14 13 12 11 or less
% 100 92 85 77 69 62 58 56 39 31 0

What are the values most likely to appear in your and?


your hand 21 20-17 16 and less no bust
% 4.8 30 38.7 26.5

What is the probability of the Dealer to exceed the sum of 21 based on upcard the dealer. And what is the advantage of a player using basic strategy?


dealers up card % 2 3 4 5 6 7 8 9 10 card value A
dealers bust % 35.3 37.5 40.3 42.9 42.1 26 23.9 23.34 21.4 11.65
advantage of the player (basic strategy)

 

9.8

 

13.4

 

18.0

 

23.9

 

23.2

 

14.3

 

5.4

 

-4.3

 

-16.9

 

-16.0


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