Pai Gow Tiles Quizzler 2

Given the interest in my earlier Pai Gow thread, I figured I would continue with another.

This one will probably be easy to figure out.

If you look at all Two Pair hands where the higher pair is Gee Joon, and sort them by their expected return, there are no surprises:

High Pair	Low Pair	Expected Return
Gee Joon	12s	0.950000
Gee Joon	2s	0.950000
Gee Joon	H8s	0.949954
Gee Joon	H4s	0.949861
Gee Joon	H10s	0.949722
Gee Joon	H6s	0.949536
Gee Joon	L4s	0.949304
Gee Joon	11s	0.949026
Gee Joon	L10s	0.948701
Gee Joon	H7s	0.948330
Gee Joon	L6s	0.947912
Gee Joon	9s	0.947448
Gee Joon	L8s	0.946938
Gee Joon	L7s	0.946381
Gee Joon	5s	0.945778

Having the Teen or Day pair in your low hand is a guaranteed win for the bet because both pairs are unbeatable in the low hand. With all lower pairs, sorting by expected return yields the natural tile ranking order, as expected.

With me so far? Good.

Now, if you look at all of the Two Pair hands where the higher pair is the pair of 12s, and sort by expected returns, here is what you get:

High Pair	Low Pair	Expected Return
12s	2s	0.936220
12s	H8s	0.936171
12s	H10s	0.935934
12s	H4s	0.935705
12s	11s	0.935231
12s	L4s	0.935140
12s	H6s	0.935004
12s	L10s	0.934904
12s	H7s	0.934530
12s	9s	0.933643
12s	L6s	0.933368
12s	L8s	0.933131
12s	L7s	0.932571
12s	5s	0.931595

Your mission, should you choose to accept it, is to figure out why.

Please put answers and supporting arguments in spoiler tags until the mission is complete.

Correct. I had a feeling it was too easy. I'll try to pick a stumper next time.

I love these quizzes! I am always thrilled when the tiles get a thread.
As always i applaud the vast amount of information and time you have devoted to the game anlysis.
The optimal strategy chart is truly a magnum opus/labor of love; how else could you have bothered?
I am using an iPad and therefore cannot access the tiles calculator, but I am itching to come up with a quiz as well...

One thing I find interesting is the expected value of each individual tile.
I love how this knowledge effects my expectation of whether I will win or not.
We all love to see (or feel) teen or day on our first tile,
But how many times have you gone on to then draw mooy, foo, ping for a total of 1/2?
And of course, conversely, we have all drawn the low six with a feeling of disgust only to hit the bo on the final tile....

The drama of tiles is unbeatable in the casino. Where else can you have so much control over the revelation of your fate?
Baccarat? Maybe, but you can only squeeze three cards, max. I will take my four tiles any day.

Thanks.

I know what you mean about revealing your tiles. First a 6 ... grr ... then a 4 ... "not again" ... then a 5... and then the matching 6.

The last time I played. high stakes tiles
I revealed the exact order I posted: teen, (yes!), then...mooy, foo, ping. 1/2
the dealer beat me with 3/4. Sam/say, really?
Totally disgusted, I decided to bank, it Had to get better, right?
Next hand, banking..
Look, low chit, chong, bon..1/2 even lower than the first time...
(I noted that it wasn't even gor for the High 1, lol)
To add insult to injury, I had the dealer flip the hand that would have been mine
if I hadnt asked to deal House Way Left..
Teen Wong, Chong Bo...

I decided then and there to only play at home for four weeks!

I'm very, very new to PG tiles... I take it the low six is the worst tile you could have if you just looked at one? Is that because there are four tiles worth 4 points that pair so badly with it?

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Oh, thanks for noticing that, I must be getting senile.
it was CHIT bo.(high 7)

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Yes I forgot that it goes by that name. Its an anglicized version of the Chinese name.
I have a bad habit of referring to all sevens as chit.
To be clear my losing hand was low four, low seven and high six, low six.
The hand I would have had was Wong, and high seven pair.

Again, sorry to be confusing, i was at work earlier when I posted, and drunk when I tried to correct it.

Quote: sodawater

I'm very, very new to PG tiles... I take it the low six is the worst tile you could have if you just looked at one? Is that because there are four tiles worth 4 points that pair so badly with it?

it is not just due to the fours,
almost every hand that you construct with the low six has some weakness to it.
Go through the list of possible pairings and compare the ranks of those hands
to the other ways to form hands of the same numerical value.
Wizard of odds/JB has a nice chart on the power rankings of the various hand values.

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