I have seen many people playing this game in casino, and every time when the player hits the 4 aces with kicker jackpot I peak at screen when the player is waiting for the hand pay. Interestingly, most of the 4AWK winning hand has the kicker held when 3 aces have been dealt...
The correct strategy is holding 3 aces only. Intuitively, it's because 4 aces without the kicker pays 1600 instead of 800 even 4 aces with kicker pays 4000, which is different from playing TDB.
Here is one example for 7/5 SDB Triple Play - 99.0552% (betting 6 credits)
Code: Select all
+------------------------------+-------+---------------+----------+----------+
| Outcome | Price | Combination | Freq | Return |
+------------------------------+-------+---------------+----------+----------+
| ROYAL FLUSH | 4000 | 41248288 | 40270.82 | 0.016712 |
| STRAIGHT FLUSH | 600 | 197334028 | 8417.72 | 0.011993 |
| 4 ACES WITH ANY 2,3,4 | 4000 | 101046687 | 16438.96 | 0.040941 |
| 4 ACES W / ANY J,Q,K | 3200 | 106062985 | 15661.47 | 0.034379 |
| 4 ACES | 1600 | 186455138 | 8908.86 | 0.030218 |
| 4 2s, 3s, 4s W / ACE,2,3,4 | 1600 | 247251535 | 6718.27 | 0.040071 |
| 4 Js, Qs, Ks W / ANY J,Q,K,A | 1600 | 352321710 | 4714.73 | 0.057100 |
| 4 2s, 3s, 4s | 800 | 666478814 | 2492.36 | 0.054007 |
| 4 5s THRU KINGS | 400 | 2391067067 | 694.71 | 0.096878 |
| FULL HOUSE | 35 | 14857575612 | 111.80 | 0.052673 |
| FLUSH | 25 | 17398304014 | 95.47 | 0.044058 |
| STRAIGHT | 20 | 18009671420 | 92.23 | 0.036485 |
| 3 OF A KIND | 15 | 131016199427 | 12.68 | 0.199063 |
| TWO PAIR | 5 | 184243968621 | 9.02 | 0.093312 |
| JACKS OR BETTER | 5 | 379316665518 | 4.38 | 0.192109 |
| NOTHING | 0 | 911970892236 | 1.82 | 0.000000 |
| total | - | 1661102543100 | - | 0.990552 |
+------------------------------+-------+---------------+----------+----------+
Code: Select all
Holding ER
[0, 1, 1, 1, 0] 124.37095282146161
[1, 1, 1, 1, 0] 101.06382978723404
[0, 1, 1, 1, 1] 84.04255319148936
[1, 1, 1, 1, 1] 15.0
[0, 1, 1, 0, 0] 5.79740980573543
[0, 1, 0, 1, 0] 5.79740980573543
[0, 0, 1, 1, 0] 5.79740980573543
[1, 1, 1, 0, 0] 5.564292321924144
[1, 1, 0, 1, 0] 5.564292321924144
[1, 0, 1, 1, 0] 5.564292321924144
[0, 1, 1, 0, 1] 5.564292321924144
[0, 1, 0, 1, 1] 5.564292321924144
[0, 0, 1, 1, 1] 5.564292321924144
[1, 1, 1, 0, 1] 5.212765957446808
[1, 1, 0, 1, 1] 5.212765957446808
[1, 0, 1, 1, 1] 5.212765957446808
[0, 0, 0, 0, 1] 2.09402068791523
[0, 1, 0, 0, 1] 2.0681467776749924
[1, 1, 0, 0, 1] 1.9888991674375578
[0, 0, 1, 0, 1] 1.639222941720629
[0, 0, 0, 1, 1] 1.639222941720629
[1, 0, 0, 0, 1] 1.6271970397779834
[0, 0, 0, 0, 0] 1.4741818286124806
[1, 0, 0, 0, 0] 1.3655986320186135
[0, 0, 1, 0, 0] 1.1640176043506294
[0, 0, 0, 1, 0] 1.1640176043506294
[1, 1, 0, 0, 0] 1.11840888066605
[0, 1, 0, 0, 0] 1.098786196843551
[1, 0, 1, 0, 1] 0.9481961147086031
[1, 0, 0, 1, 1] 0.9481961147086031
[1, 0, 1, 0, 0] 0.8991674375578168
[1, 0, 0, 1, 0] 0.8991674375578168