Strategy of 3 Card Hold 'Em
Strategy of 3 Card Hold 'Em
July 08, 2021 Authorbaji188
The findings of the Ante Bet study are shown in the table below. The house edge of 3.05 % is
shown in the bottom left cell.
| Ante Bet Analysis | ||||
|---|---|---|---|---|
| OUTCOME | BET | NET | PROBABILITY | RETURN |
| Player folds | 1 | -1 | 2.39% | -2.39% |
| Player wins, dealer does not qualify | 2 | 1 | 9.27% | 9.27% |
| Player wins, dealer qualifies | 2 | 2 | 9.02% | 18.04% |
| Tie | 2 | 0 | 5.24% | 0.00% |
| Dealer wins | 2 | -2 | 32.91% | -65.81% |
| Player wins, dealer does not qualify | 3 | 2 | 9.64% | 19.27% |
| Player wins, dealer qualifies | 3 | 3 | 17.74% | 53.22% |
| Tie | 3 | 0 | 2.24% | 0.00% |
| Dealer wins | 3 | -3 | 11.55% | -34.65% |
| Total | 100.00% | -3.05% | ||
- The game's element of risk is 1.28 %, with an average bet size of 2.3879.
- 2.39% of the time, the player will fold.
- 41.17% of the time, the player will raise twice (make two Raise Bets).
- The player will raise and check 56.44 % (making only one Raise Bet).
Below is a basic approach for the initial playing decision.
Any of the following should be raised:
- A pocket 10, J, Q, K/Aces
- A pair
- 2 -> flush
- 2-> straight, inside/outside
The approach above raises the house edge by 0.02% if optimal play is assumed at the second decision point.
Pair or Suited is a side wager that pays solely on the first two cards dealt with the player. The table below indicates how much each hand pays and the chance and contribution to the total return. The house edge in the lower right cell is 4.83 %.
| Pair Or Suited Analysis | |||||
|---|---|---|---|---|---|
| HAND | PAYS (TO 1) | COMBINATIONS | PROBABILITY | FREQUENCY | RETURN |
| AK Suited | 30 | 4 | 0.30% | 1 in 332 | 9.05% |
| AA | 20 | 6 | 0.45% | 1 in 221 | 9.05% |
| KK | 10 | 6 | 0.45% | 1 in 221 | 4.52% |
| 22-QQ | 4 | 66 | 4.98% | 1 in 20 | 19.91% |
| 2 Suited Cards | 1 | 308 | 23.23% | 1 in 4.3 | 23.23% |
| Other | -1 | 936 | 70.59% | 1 in 1.4 | -70.59% |
| Total | 1326 | 100.00% | -4.83% | ||
Straight Or Up is a side wager that pays out based on the best three of the player's five cards (except "AKQ suited plus a pair," which requires all five).
The paytable for the bet and the analytical findings are shown in the table below. The house edge in the lower right cell of the table below is 4.49%.
| Straight or Up Analysis | ||||
|---|---|---|---|---|
| HAND | PAYS (TO 1) | PROBABILITY | FREQUENCY | RETURN |
| AKQ Suited plus a Pair | 100 | 0.01% | 1 in 9417 | 1.06% |
| AKQ Suited | 40 | 0.17% | 1 in 587 | 6.82% |
| Straight Flush | 10 | 1.91% | 1 in 52 | 19.10% |
| Three of a Kind | 9 | 2.26% | 1 in 44 | 20.38% |
| Straight | 1 | 21.90% | 1 in 4.6 | 21.90% |
| Flush | -1 | 27.27% | 1 in 3.7 | -27.27% |
| Pair | -1 | 26.92% | 1 in 3.7 | -26.92% |
| Other | -1 | 19.55% | 1 in 5.1 | -19.55% |
| Total | 100.00% | -4.49% | ||