atelier
Joined: May 6, 2014
• Posts: 2
May 6th, 2014 at 11:38:16 PM permalink
Hi Wizard,

Could you advise on the odds of this variant of Straight 8's in Marina Bay Sands Singapore? Details of the payout are here
endermike
Joined: Dec 10, 2013
• Posts: 584
May 7th, 2014 at 7:00:25 AM permalink
So the pair bet listed is shown on this page as "Dare any pair." The WoO gives a HE of 11.25% on that one, ugh.

My math could be wrong but here is what I get for the variant of straight 8's:
Event Pays Combinations Probability Return
3 suited 8's 1000 80 0.00001596 0.015957
3 unsuited 8's 100 1944 0.00038777 0.038777
2 suited 8's 10 17280 0.00344682 0.034468
2 unsuited 8's 5 62208 0.01240854 0.062043
Pair 3 953856 0.19026434 0.570793
Loser -1 3977952 0.79347658 -0.79348
Total 5013320 1 -0.07144
Wizard
Joined: Oct 14, 2009
• Posts: 24508
May 7th, 2014 at 7:46:45 AM permalink
Here is my table. I think I differ with endermike over what happens with a three of a kind other than eights. I assume that pays 3 to 1, as a pair.

It should be noted that six decks are assumed.

Event Pays Combinations Probability Return
Three suited eights 1,000 80 0.000016 0.015957
Three unsuited eights 100 1,944 0.000388 0.038777
Two suited eights 10 17,280 0.003447 0.034468
Two unsuited eights 5 62,208 0.012409 0.062043
Pair 3 978,144 0.195109 0.585327
All other -1 3,953,664 0.788632 -0.788632
Total 5,013,320 1.000000 -0.052060
It's not whether you win or lose; it's whether or not you had a good bet.
atelier
Joined: May 6, 2014