ARTICLE

## All in Stud Analysis

###### All in Stud Analysis

July 20, 2021 Authorbet365baji

**Strategy of All in Stud**

If you have three cards, you should raise:

- Any willing benefactor (tens or better, three of a kind.
- A royal flush with any three cards.
- Except for 2-3-4 and ace-2-3, three suited cards in a row.
- Spread 4 with at least one good card, three to a straight flush (ten or greater)
- Spread 5 with two high cards or more, three to a straight flush

- Any willing benefactor (tens or better, two pair, three of a kind)
- Four cards in a row of the same suit
- Any four to a straight on the outside with at least one high card
- With no high cards, any four to an outer straight (zero house edge)
- With four high cards, any four to an inside straight (zero house edge)

The number of possibilities, likelihood, and contribution to the return of all conceivable outcomes under the optimal strategy are shown in the table below. The predicted loss of 3.51% of the Ante bet is shown in the lower right cell. The player will have raised 0.232 units at the end of the hand, leaving 1.232 on the table. As a result, the risk factor, defined as the projected loss ratio to total bet amount, is 3.51% /1.232 = 2.85%.

Pay Table | |||||
---|---|---|---|---|---|

HAND | PAYS | BET | WIN | PROBABILITY | RETURN |

Royal Flush | 1000 | 3 | 3,000 | 0.00% | 0.46% |

Royal Flush | 1000 | 2 | 2,000 | 0.00% | 0.00% |

Royal Flush | 1000 | 1 | 1,000 | 0.00% | 0.00% |

Straight Flush | 200 | 3 | 600 | 0.00% | 0.41% |

Straight Flush | 200 | 2 | 400 | 0.00% | 0.28% |

Straight Flush | 200 | 1 | 200 | 0.00% | 0.00% |

Four of a kind | 50 | 3 | 150 | 0.02% | 2.27% |

Four of a kind | 50 | 2 | 100 | 0.01% | 0.89% |

Four of a kind | 50 | 1 | 50 | 0.00% | 0.00% |

Full House | 11 | 3 | 33 | 0.06% | 2.12% |

Full House | 11 | 2 | 22 | 0.08% | 1.76% |

Full House | 11 | 1 | 11 | 0.00% | 0.00% |

Flush | 8 | 3 | 24 | 0.02% | 0.46% |

Flush | 8 | 2 | 16 | 0.18% | 2.84% |

Flush | 8 | 1 | 8 | 0.00% | 0.00% |

Straight | 5 | 3 | 15 | 0.01% | 0.13% |

Straight | 5 | 2 | 10 | 0.17% | 1.71% |

Straight | 5 | 1 | 5 | 0.21% | 1.07% |

Three of a kind | 3 | 3 | 9 | 0.70% | 6.31% |

Three of a kind | 3 | 2 | 6 | 0.63% | 3.80% |

Three of a kind | 3 | 1 | 3 | 0.78% | 2.34% |

Two pair | 2 | 3 | 6 | 1.10% | 6.63% |

Two pair | 2 | 2 | 4 | 1.31% | 5.25% |

Two pair | 2 | 1 | 2 | 2.34% | 4.67% |

Tens or better | 1 | 3 | 3 | 4.95% | 14.84% |

Tens or better | 1 | 2 | 2 | 5.09% | 10.19% |

Tens or better | 1 | 1 | 1 | 6.21% | 6.21% |

Loser | -1 | 3 | -3 | 0.10% | -0.31% |

Loser | -1 | 2 | -2 | 1.80% | -3.61% |

Loser | -1 | 1 | -1 | 74.22% | -74.22% |

Total | 100.00% | -3.51% |

The win, combinations, chance, and contribution to the return of all the Pocket 3 side bet conceivable outcomes are shown in the table below. The house edge in the lower right cell is 7.10%.

Pocket 3 Return Table | |||
---|---|---|---|

EVENT | PAYS | PROBABILITY | RETURN |

Mini royal | 50 | 0.02% | 0.91% |

Straight flush | 40 | 0.20% | 7.96% |

Three of a kind | 30 | 0.24% | 7.06% |

Straight | 6 | 3.26% | 19.55% |

Flush | 3 | 4.96% | 14.88% |

Pair | 1 | 16.94% | 16.94% |

Loser | -1 | 74.39% | -74.39% |

Total | 100.00% | -7.10% |

The player's final five-card hand determines the outcome of the Lo-Ball bet. The lower the player's hand worth, the more he wins.

Lo Ball Return Table | |||
---|---|---|---|

HAND | PAYS | PROBABILITY | RETURN |

7 high | 100 | 0.16% | 15.70% |

8 high | 50 | 0.55% | 27.47% |

9 high | 15 | 1.33% | 20.02% |

10 high | 5 | 2.71% | 13.54% |

Jack high | 1 | 4.91% | 4.91% |

Loser | -1 | 90.35% | -90.35% |

Total | 100.00% | -8.71% |

The player's final five-card hand determines the payout for the Jackpot stake. Unlike all other bets in the game, this one pays "for one," which means the player does not get their original investment back if the bet wins. The return in the lower suitable cell is 64.86 %. To put it another way, the house has a 35.14 % advantage.

Jackpot Return Table | |||
---|---|---|---|

HAND | PAYS | PROBABILITY | RETURN |

Royal flush | 20000 | 0.00% | 3.08% |

Straight flush | 2000 | 0.00% | 2.77% |

Four of a kind | 300 | 0.02% | 7.20% |

Full house | 150 | 0.14% | 21.61% |

Flush | 50 | 0.20% | 9.83% |

Straight | 25 | 0.39% | 9.81% |

Three of a kind | 5 | 2.11% | 10.56% |

Loser | 0 | 97.13% | 0.00% |

Total | 100.00% | 64.86% |