•MULLIGAN POKER
Introduction
Mulligan Poker is variation of 5-card poker that is available at Odds On casinos.
Rules and Play
After placing an Ante bet, the player's initial 5 cards are dealt. He has the option to either, or take a mulligan and get a new hand. If he takes a mulligan, he must double his bet. The dealer also has the option to either keep his hand or take a mulligan. After the player and dealer have made the choices, both hands are revealed and scored according to traditional poker rules. If the player wins, the full bet (either Ante bet or doubled bet) pays according the table below. If the player loses, he loses the full bet. If the player and dealer tie, the full bet pushes. Rare scoring mistakes may occur with Odds On software. See the forum thread for more information.
| Hand | Final Hand Odds | Payout |
| Royal Flush | 1 in 450,000 | 100:1 |
| Straight Flush | 1 in 50,000 | 50:1 |
| 4 of a Kind | 1 in 3000 | 10:1 |
| Full House | 1 in 500 | 3:1 |
| Flush or Less | 411 out of 412 | 1:1 |
| House Edge (in terms of Initial Bet) | 3.15% | |
| House Edge per Unit Wagered | 2.17% |
Optional Bonus Bet
Mulligan Poker offers an optional bonus bet. The bonus bet pays based on the initial 5-card hand. The bonus bet is lost, if the player takes a mulligan. Like most side bets, the house edge of the bonus bet is larger than the house edge of the main game. A summary is below:
| Hand | Hand Odds | Payout |
| Royal Flush | 1 in 650,000 | 10,000 |
| Straight Flush | 1 in 72,000 | 1000 |
| 4 of a Kind | 1 in 4200 | 200 |
| Full House | 1 in 695 | 100 |
| Flush | 1 in 510 | 50 |
| Straight | 1 in 255 | 30 |
| 3 of a Kind | 1 in 47 | 10 |
| Two Pair | 1 in 21 | 5 |
| Pair or Less | 13 out of 14 | -- |
| House Edge | 3.74% |
Strategy
The player should take a mulligan and replace his hand, if he has AK953 or worse. The player should keep his hand, if he has AK954 or better.
House Edge
With optimal strategy, the house edge (defined per initial bet) of the Ante & Raise bet is 3.15%. However, the average bet size is 1.45x the initial Ante bet, making the house edge per unit wagered 2.17%. The latter value of 2.17% is more appropriate for estimating expected loss while completing a wagering requirement.
Variance and Bet Size
The standard deviation per hand of Mulligan Poker is 1.61, and the standard deviation per unit wagered is 1.34. The latter value of 1.34 is more appropriate for estimating range of return while completing a wagering requirement. The table below shows the chance of ending above the deposit balance with unlimited bankroll, after completing a wagering requirement with 4 bet sizes (size of Ante bet). See the Return & Variance Calculator for more specific estimates.
| Bet Size | Playthrough Requirement | |||
|---|---|---|---|---|
| 10xB | 20xB | 30xB | 40xB | |
| B/100 | 97% | 83% | 68% | 56% |
| B/50 | 90% | 75% | 63% | 54% |
| B/20 | 80% | 66% | 58% | 53% |
| B/10 | 72% | 62% | 56% | 52% |
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