Quote:
Originally Posted by Spreek
Assuming that %air > 50%, you will place bet with a percentage of your range based on graph 3 (which is close to the function 2-2*Air for large stack sizes)
But our bet percentage is obviously not always 75%, it depends on %air. So as I was saying, the statement is true only if you consider %air = ~62.5%. Of course it's fine if you want to specifically consider that case -- but your statement confuses me since we haven't been considering that case.
just to be clear, the function we evaluate in graph3 is literally the % of all hands in our range that we bet. So it is not necessary to do any further calculations after that to find our bet %.
Your entire air percentage range is represented in the graph.
The graph function is defined by stack size, pot size, and air percentage.
Thus, the graph holds true for all values of air involving stacks=10000 and pot=100.
When you have air equal to or less than 49.75 percent, you bet 100 percent of hands....
When you have more air>49.75 percent you bet less often...
When your air is 62.5, you bet with frequency 74.63 percent.
When your air is 66.66 percent, you bet with frequency 66.35 percent.
When your air is 75 percent you bet with frequency 49.75 percent.
When your air is 95 percent you bet with frequency 9.95 percent.
.....all the way to zero with air = 100 percent.
At first glance, this is very very close to 75 percent total bets placed on the river. This is the area under the line, and inside the 1x1 box.
The exact value happens to be .74875, which is the total percent of the time you place a bet on the river, across your entire air range, 0<air<100.