Posted at Mon Nov 25 2013
How would you set A A A 4 3?
Although setting trips seem easy, there have been interesting discussions where good Open Face Chinese players cannot agree on how to set it. This largely depends on what the kicker is and if the kickers are connected to each other.
Thus, how would you set A A A 4 3?
Using Warren’s OFC Simulator, here’s the equity for each set for all clubs.
As you can see, A A / A 3 4 crushes other sets if the first card is a club. However, what is the equity for non-clubs cards?
As you can see, A A / A 3 4 has little equity when the first draw is a non-club. Considering that the ratio for non-clubs to clubs is 3 to 1, here’s the total equity for all 42 cards for each set.
Total Equity for non-clubs A A / A 4 3 = 13.15 * 3 = 39.45 points
Total Equity for non-clubs 3 4 /A A A = 40.17 * 3 = 120.51 points
Total Equity for non-clubs 4 / A A A 3 = 44.12 * 3 = 132.36 points
In the final analysis, unless the kicker is a Q or a K where you can set for Fantasy Land, stick to the standard. Set the kicker on the bottom and go for the boat and quads royalties.
*Note: The total equity for diamond should be higher than spades and hearts since drawing the A will increase all the sets' equity. It's important to note that drawing the A will make the 4/AAA3 set even more valuable.