Hands per count level
The percentage of hands dealt at each count level, or the frequency distribution of a player's advantage, varies according to
-rules
-number of decks
-penetration, and
-number of players at the table.
Of course, one system gauges advantage differently than another, so different counting systems will produce different frequencies of count levels. However we can accept that every system gauges the player's advantage close enough, for their differences not to be so important. Therefore if we translate the count level to player's advantage, we should have approximately the same frequency distribution.
Arnold Snyder's Beat the x-Deck Game series has the data along with the results for various bet spreads. Support your Bishop - and buy the book you're interested in! In your case, Beat the 6-Deck Game. But if you want knock-out visuals, as well as dead accuracy, you should purchase the Casino Vérité software. You can input all the above parameters, along with the color of the table felt, and watch all the data pour out vividly.
Here is the frequency distribution for a 6-Deck game witgh 75% penetration, as provided by Snyder's book:
ADVANTAGE % OF HANDS
-4.5% 0.0
-4.0% 0.0
-3.5% 1.0
-3.0% 2.0
-2.5% 3.0
-2.0% 4.0
-1.5% 8.0
-1.0% 13.0
-0.5% 35.5
0.0% 13.0
+0.5% 8.0
+1.0% 4.0
+1.5% 3.0
+2.0% 2.0
+2.5% 2.0
+3.0% 1.0
+3.5% 0.5
+4.0% 0.0
+4.5% 0.0
You can get the cumulative frequencies from the above table. For example, for a HiLo True Count of +2
and above, which means appoximately a
+0.5% player's advantage
and above, the percentage of hands played overall will be 8.0 + 4.0 + 3.0 + 2.0 + 2.0 + 1.0 + 0.5 =
20.5%.