CP High hands w/royalties on tigergaming

[MarkGritter]

I downloaded TigerGaming and played a bit at the play-money CP tables.

I was playing the "Eastern" style with bonuses:
Trips: +3 in front
Full house: +2 in middle
Quads: +4 in back, +8 in middle
Straight flush/royal flush: +5/+7 in back, +10/+14 in middle

(If you get a royalty, you do not get the +1 point for a scoop.)

Here are a few I'm not sure about (front/middle/back):

#1: QhJhTd / AhAdAc5h2c / As8s7s5s3s

I thought I would be better overall by splitting quads, but that was before I realized there was a bonus for it.

#2: 4d4h4s / 5hTc6s6h6c / 3d3sKsKhKd

Would it be better to put the kings in the middle instead?

#3: 6h6c5h / 7h7d7c3c2c / AdKdJd4d3d

I hate putting trips in the middle. Would I have been better off completely abandoning the front with 235 in order to play boat + flush?

#4: Th9s7d / JsJhJc3s4s / QcQdQh2h2c

I figured that 22x in front is not going to be a big enough improvement to play trips in front.

[MarkGritter]

I tried to use my CP calculator on the high hands I asked about.

[ QUOTE ]

#1: QhJhTd / AhAdAc5h2c / As8s7s5s3s

I thought I would be better overall by splitting quads, but that was before I realized there was a bonus for it.


[/ QUOTE ]

It looks like splitting the aces is a clear win without royalties. AAAA2/35578/TJQ is worth somewhere between -1.45 and -1.09, while A8753s/AAA52/TJQ is between 0.06 and 0.15.

But, with the royalties, I'm giving up 4 points (or 3 in the unlikely sweep). So playing quads is probably worth +2 points net here.

[ QUOTE ]

#2: 4d4h4s / 5hTc6s6h6c / 3d3sKsKhKd

Would it be better to put the kings in the middle instead?


[/ QUOTE ]

My play appears to be correct, worth between +2.88 and +2.93 without royalties, KKK in the middle is at best +2.47.

The royalty for trips in front is +3, while it is only +2 to put a boat in the middle, so it is clearly not worth breaking 444.

[ QUOTE ]

#3: 6h6c5h / 7h7d7c3c2c / AdKdJd4d3d

I hate putting trips in the middle. Would I have been better off completely abandoning the front with 235 in order to play boat + flush?


[/ QUOTE ]

I missed the much better AKJ73-flush/23456/677. Splitting the 7's this way wouldn't have occurred to me. This is about 0.4-0.7 points better than 66777/AKJ43-flush/235, which is the second-best option.

[ QUOTE ]

#4: Th9s7d / JsJhJc3s4s / QcQdQh2h2c

I figured that 22x in front is not going to be a big enough improvement to play trips in front.

[/ QUOTE ]

This was correct.

Two extra hands I think I botched:

5c7c9cKcAc / 9h5d8c8d8h / JdKdQh

The boat in front (5c5d8c8d8h 7cJdQhKcKd 9c9hAc) is about a full point better.

3d3hTcThTs 6h7d7h8c8s JhKcKh is interesting. It appears to be a hand whose best setting is exploitive. KK in back is worth +1.74 to 2.18 points, but 3d3hTcThTs 6h7d7hKcKh 8c8sJh is +1.56 to 1.84 points. (88J in front is better against one sample strategy but worse against the other.)

[MarkGritter]

Oops... I misinterpreted the scoring.

The "E" (Eastern) games don't award an overall point, so my calculations are suspect. It is 1 point for winning two and 3 points for a sweep.

Royalties take the place of the normal point you would score for winning a hand.