Blackjack Probabilities
According to the value of your hand, what are the chances of busting
when hitting 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 is the more probable value to appear in your
hand?
| |
| your hand |
21 |
20-17 |
16 and less |
no bust |
| % |
4.8 |
30 |
38.7 |
26.5 |
|
|
Dealer’s odds of busting based on the up card and players advantage if
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
|
|
|
|
Some casinos include the possibility of the dealer removing a card
from the deck during the game. What are the probabilities for each card?
| |
| Hand |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 card value |
Ace |
| % |
0.4 |
0.43 |
0.52 |
0.67 |
0.45 |
0.30 |
0.01 |
-0.15 |
-0.51 |
-0.59 |
|
|
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