[Buzz]

“Buzz, I don't get it. (My Chem Prof heard this a lot.) What are you subtracting from the draws?”

Mack - You provided data for seven “hands.” (Actually “hand,” as we’re using it here, might better be termed “position”). You listed wins, draws, and losses for High Card, Pair, Two Pair, Trips, Straight, Flush, Full House., Quads, and Straight Flush. These are obviously all listings for high (and not low). This data is very interesting data, and relates, I think, indirectly to lows.

I had my computer add together the total wins, draws, and losses for each hand. (I prefer using the word “ties” here instead of “draws,” because draw also means seeing another card, but I will continue to use the “draw” and “hand” terminology evidently provided by the simulator).

The totals are given below for each hand. This chart is one I developed from totaling data from charts you provided.

Chart I
Hand no....win.....draw.....lose.....
...1........14236.....50.....85714
...2........14099.....41.....85860
...3........14228.....41.....85731
...4........14318.....44.....85638
...5........14303.....38.....85659
...6........14392.....35.....85573
...7........14287.....25.....85688

You also provided another chart:

Chart II
Hand
|.....1....|.....2.....|....3.....|.....4....|.... .5.....|.....6....|.....7....|
|------+--------+--------+--------+--------+--------+--------+--------+
High
| 10189 | 10022 | 10119 | 10216 | 10053 | 10230 | 10173 |
Draw
|..437...|...431...|..394...|..414...|...382...|.. 418...|...402..|
Lose
| 75501 | 75486 | 75418 | 75380 | 75403 | 75236 | 75375 |
Scoop
| 4047...| 4077..| 4109...| 4102...| 4250...| 4162..| 4114.. |
Low
| 9879.. | 10040 | 10016 | 9938.. | 9963.. | 9998.. | 9993.. |

The total “draws” for each “hand” in one chart are listed vertically, and in the other horizontally, but you can easily see there is a huge discrepancy. The explanation must be that the draws in this last chart refer to both high and low.

Making that assumption, I subtracted the “draws” for high in Chart I
from the total “draws” for both high and low in Chart II to get the “draws” for low. (“Draws,” as I’m using the word here, means “ties”). Some of the ties for low could be due to sixthing, rather than quartering, but I suspect not many, since the frequency of ties for low is only 3.8%. That’s assuming I have correctly interpreted your data. Never a guarantee, but at least my interpretation makes sense to me, and I hope also makes sense now to you. If not, let me know and I’ll try to make my explanation clearer.

Buzz