The strongest hand that was folded was player = (Js, 6d), dealer hole-card = Ac, known Flop card = 8s (EV = -1.000024). The hand with the most positive expected value was player = (Kh, Ks), dealer hole-card = 2h, known Flop card = Kd (EV = 4.113841). The hand with the most negative expected value was player = (8d, 2s), dealer hole-card = Kc, known Flop card = Kh (EV = -2.645544). Here are a few other results from the simulation: If the player plays all hands and never folds pre-Flop, then the player will have an edge of roughly 7.4% over the house. The player will fold about 21.6% of his hands. The player has an edge of approximately 15.1% over the house. When the player knows his two cards as well as one dealer hole-card and one Flop card, then: I exported the data to an Excel spread sheet to complete the analysis and determine other statistics. This computation took about 28 hours using four concurrent processes. Altogether I simulated 50,000 starting hands. The program played perfect hole-card strategy, but did not give any output for the strategy it determined beyond the Flop strategy. In those situations when the EV was less than -1, the program assumed the player folded the hand and reset the EV for that hand to -1. It then computed the expected value (EV) for that starting configuration of four cards.

The program then cycled through the combin(48,2)*46*45*44 = 102,738,240 possible ways the hand could play out assuming the player knew those four starting cards throughout. First, it picked a random starting hand for the player, a random dealer hole-card and a random Flop card. The first simulation (one dealer card, one Flop card) ran as follows. Known: One Dealer Hole-Card, One Flop Card In the second simulation, I assumed the AP also knew the River card. In the first simulation, I assumed the AP also knew one of the three Flop cards. In each case I assumed the AP knew his two cards and one dealer hole-card when the cards were dealt.

Instead, I decided to approach this project by running two big Monte-Carlo simulations. Running a complete cycle for each hole-carding opportunity would take approximately 310 hours to complete. This post considers these two lucrative opportunities. Typically, the AP will see a dealer hole-card together with either a Flop card or a River card. Like its first cousin Ultimate Texas Hold'em, when the dealer's procedure breaks down in THB, two separate hole-cards are usually exposed. In this post I covered the situation when the AP sees one dealer hole-card, which gives the AP a 7.61% edge over the house with perfect play. There is no doubt that Texas Hold'em Bonus Poker (THB) has a big hole-card issue.

Play texas hold em bonus poker online