How to Play 3 Card Brag

bj-baji999

How to Play 3 Card Brag

How to Play 3 Card Brag

July 09, 2021  Authorbjbajian

Raising with a poker value of Q-6-4 or more significant, as in Three Card Poker, is the best option; otherwise, fold.

My study of the Ante bet is shown in the table below. After taking into account the Play bet and Play Bonus, the amount in the "Pays" column represents the net win or loss. The house edge in the lower right cell is 3.37 %.

Ante Analysis
BET PAYS PROBABILITY RETURN
Player wins with straight flush 7 0.15% 1.06%
Player has straight flush, dealer doesn't qualify 6 0.07% 0.39%
Player wins with three of a kind 6 0.16% 0.98%
Player ties with straight flush 5 0.00% 0.00%
Player has three of a kind, dealer doesn't qualify 5 0.07% 0.35%
Player ties with three of a kind 4 0.00% 0.00%
Player loses with straight flush 3 0.00% 0.00%
Player wins with straight 3 2.20% 6.61%
Player loses with three of a kind 2 0.00% 0.00%
Player has straight, dealer doesn't qualify 2 0.98% 1.97%
Player wins with flush or less 2 21.39% 42.78%
Player ties with straight 1 0.00% 0.00%
Player has flush or less, dealer doesn't qualify 1 19.88% 19.88%
Player ties with flush or less 0 0.06% 0.00%
Player loses with straight -1 0.07% -0.07%
Player folds -1 32.58% -32.58%
Player loses with flush or less -2 22.38% -44.76%
Total 100.00% -3.37%


My study of the 6 Card Super 6 Bonus bet is shown in the table below. The house edge in the lower right cell is 8.11 %.

6 Card Super 6 Bonus
BET PAYS PROBABILITY RETURN
Royal flush 1000 0.00% 0.92%
Straight flush 200 0.01% 1.63%
Four of a kind 125 0.07% 9.00%
Three pair 30 0.30% 9.10%
Full house 25 0.82% 20.38%
Flush 20 1.01% 20.22%
Straight 15 1.78% 26.64%
All other -1 96.01% -96.01%
Total 100.00% -8.11%


My analysis of the 6 Card Super Shot Trips bet is shown in the table below. The house edge in the lower right cell is 5.84 %.

6 Card Super Shot Trips Analysis
BET PAYS PROBABILITY RETURN
Four of a kind 20 0.07% 1.44%
Full house 20 0.82% 16.31%
Three of a kind 20 3.60% 71.93%
All other -1 95.52% -95.52%
Total 100.00% -5.84%


My analysis of the Flush Plus bet is shown in the table below. The house edge in the lower right cell is 7.46%.

Flush Plus Analysis
BET PAYS PROBABILITY RETURN
Straight flush 60 0.22% 13.03%
Three of a kind 50 0.24% 11.76%
Straight 9 3.26% 29.32%
Flush 6 4.96% 29.76%
All other -1 91.33% -91.33%
Total 100.00% -7.46%


My study of the Super Shot Any Pair bet is shown in the table below. The house edge in the lower right cell is 4.71%.

Super Shot Any Pair Analysis
BET PAYS PROBABILITY RETURN
Three of a kind 44 0.24% 10.35%
Pair 4 16.94% 67.76%
All other -1 82.82% -82.82%
Total 100.00% -4.71%


Furthermore, the dealer three-of-a-kind bonus is worth 0.24% to the dealer.

Before considering the jealousy incentives, I analysed the 3 Card Money bet in the table below. The house edge in the lower right cell is 24.34%.

3 Card Money Analysis — Without Envy Bonuses
BET PAYS PROBABILITY RETURN
AKQ spades 1000 0.00% 4.52%
AKQ other suit 500 0.01% 6.79%
Straight flush 100 0.20% 19.91%
Three of a kind 90 0.24% 21.18%
Straight 6 3.26% 19.55%
Other -1 96.29% -96.29%
Total 100.00% -24.34%


Because of the value of the envy bonuses, the house edge is reduced by 0.79% for every extra player at the table. The house edge by a total number of players, including yourself, is shown in the table below.

Card Money Analysis — With Envy Bonuses
PLAYERS HOUSE EDGE
7 19.59%
6 20.38%
5 21.18%
4 21.97%
3 22.76%
2 23.55%
1 24.34%