Discount Gambling

Lunar Poker Tutorial

Posted in lunar poker by stephenhow on September 26, 2012

Lunar Poker is the best game ever, and if you’re lucky enough to have a game near you, contact me. Currently, in the US, you can find the game at Pechanga Casino in Temeuca, CA. I have no idea where else the game is available, but it is a good game. You should definitely request it at your local casino. Fill out a suggestion form, or drop an e-mail (check your casino’s contact info) to request the game. The US publisher for the game is either Mara Enterprises or TCS John Huxley, I’m not sure. All I know is you want one of these games near you.

How-To-Play

I’ve previously posted a simple basic strategy that yields about a 1.4% house edge. I’ll walk through the strategy, and provide some numbers behind the decisions. This will help you understand why you should stand pat with some hands, and why you should draw cards on others.

Lunar Poker is based on Caribbean Stud, where you Ante one unit, and the player and dealer each receive five cards. The dealer exposes one his hole cards. In Caribbean Stud Poker, you either 2x Raise or Fold. Then, the dealer turns up his hand, and only pays the Ante if he doesn’t qualify; otherwise he also pays the 2x Raise according to the paytable. In Lunar Poker, you have many options, starting with your decision to either (A) stand pat with your hand, or (B) Buy a 6th card for a fee of one Ante, or (C) Exchange 2 to 5 of your cards from the deck, for a fee of one Ante.

In Lunar Poker, you’re paid for up to two items from the paytable. That means if you have a pair and AK, you get 1:1 + 1:1 = 2:1 on your 2x Raise. If you have a flush and a pair, you get paid 5:1 + 1:1 = 6:1 on your 2x Raise. Also, if you have a straight with a pair, they’ll pay you “for two straights”, any you receive 4:1 + 4:1 = 8:1 on your 2x Raise.

General Drawing Strategy

Consult my full basic strategy on how to play the Buy and Exchange options. But for most cases, the strategy can be boiled down to the following.
There are a few reasons to pay to draw from the deck (in descending priority):

  • Improve a made hand (straight or better) with a 6th card to get a 2nd payout.
  • Draw a 6th card to make a straight* or flush.
  • Hold your under pair (draw 3) against a higher dealer upcard.
  • Hold 2 or more Royal cards above the dealer upcard.
  • Hold your AK and draw 3.
  • Hold 3 or more straight flush cards above the dealer upcard.
  • Hold your high card (draw 4) against a lower dealer upcard.

*open-ended straight draw, or gutshot draw with a qualifying hand.

Otherwise, you should not pay for any cards. Notably, you should not draw with the following hands:

  • Always stand pat on two pairs.
  • Stand pat on a pair higher than the dealer upcard.
  • Stand pat with a pair and AK (in most cases).
  • Fold your high-card against a higher or equal dealer upcard.
  • Never exchange all 5 cards.

Of course, this is not how people normally play. People tend to pay for any draw, because they either don’t want to fold, or they want to make a big hand (turn every pair into quads).

Stand Pat w/ Over Pair

A common mistake is people want to draw (exchange 3 cards) with a pair higher than the dealer upcard. This is a mistake, because the dealer only qualifies 56.3% of the time, and you only get paid on your Ante if the dealer doesn’t qualify. And the paytable doesn’t justify the expense of drawing cards. For example:

player: 9h 9d Kc Tc 3c , upcard: 6h
EV(stand): +0.61
EV(9h 9d): +0.45

so it’s a 16% mistake to draw in this case.

Hold Under Pair, Exchange 3 Cards

Most players know to hold their pair (and draw 3) when it’s lower than the dealer upcard. For example:

player: 6d 6c Qd 4s 3c , upcard: 9s
EV(stand): -0.61
held: 6d 6c , upcard: 9s, EV approx. -0.46

So it’s better by about 15% in this case to pay for the exchange than it is to stand pat with the 6’s.

Stand Pat w/ Two Pairs

I always stand pat on two pairs. This drives everyone crazy, and people will literally scream at you to pay to draw to a full house / three pairs. It’s not worth it, even if the dealer has an Ace or King showing, or even if you have Aces up or Kings up:

player: 8d 8h 3c 3s 7c , upcard: As
EV(stand): +2.51
EV(extra): +2.39

player: 8d 8h 3c 3s 7c , upcard: 4s
EV(stand): +2.25
EV(extra): +2.00

player: Ad Ah 3c 3s 7c , upcard: 4s
EV(stand): +2.42
EV(extra): +2.23

so it’s basically a 20% mistake to Buy a 6th card with two pairs.
I just tell them the “book” says to stand pat with two pairs. I say I just play by the book. That actually calms them down. Sometimes they ask, “There’s a book for this game?” I tell them it’s on the internet.

Drawing w/ High Card

If you’re stuck with a high card (Queen or better) against a lower dealer upcard, it’s a little better to exchange 4 cards than it is to fold. Don’t forget that basic strategy tells you not to draw with a King against a Queen, and not to draw with a Queen against an uncopied 5 or higher. Here are some examples (folding is an EV of -1):

player: Ad Jh 7c 3s 2c , upcard: Qs
EV(Ad): -0.998

player: Qd Jh 7c 3s 2c , upcard: 5s
EV(Qd): -0.96

player: Qd Jh 7c 3s 2c , upcard: Ts
EV(Qd): -1.07

player: Ad Jh 7c 3s 2c , upcard: Ks
EV(Ad): -0.97

player: Ad Tc 7d 6d 4s , upcard: 5s
EV(Ad): -0.89

So while a high card is pretty weak against a similar (but lower) dealer upcard, it gets better by about 10% against a low card. It’s still a loser, but it’s better than folding.

Holding AK and drawing 3 Cards

Holding AK is much stronger than holding a single high card, because if you pair up, you have a 2:1 paying hand (1:1 for AK + 1:1 for pair).

player: Ad Kc Qd 4s 3c , upcard: 9s
EV(Ad Kc): -0.67
EV(Ad Kc Qd): -0.75

player: Ad Kc Qd 4s 3c , upcard: Ks
EV(Ad Kc): -0.71

If you don’t pair up, you should only play AK if you copied the dealer upcard twice. If you copied the dealer upcard once, play AK+kicker (AKJ83 or better). If you haven’t copied the dealer upcard at all, fold your AK.

Straight Flush Draws

Your EV is much higher for holding 2 or more Royal cards (or 3 or more straight flush cards) higher than the dealer upcard, than a single high card. These examples show the value of these draws:

player: Ad Qd 7c 3s 2c , upcard: Js
EV(Ad): -0.997
EV(Ad Qd): -0.895

player: Td 9d 7d 3s 2c , upcard: 6s
EV(Td): -1.04
EV(Td 9d): -0.99
EV(Td 9d 7d): -0.76

Gutshot Straight Draws

A lot of people will pay for a 6th card with a junk hand containing a gutshot straight draw. You should only pay for a 6th card with a qualifying hand (AK) with a gutshot draw against a qualifying upcard (A or K). The examples below illustrate this point. The final example shows you can draw with a non-qualifying hand to a gutshot that pays two straights (8:1).

player: Td 9d 7d 6c 3s , upcard: As
EV(extra): -1.20

player: Ad Kd Jc Ts 7d , upcard: As
EV(extra): -0.76

player: 2d 2d 6d 4s 3c , upcard: As
EV(stand): -0.85
EV(extra): +0.20

// non-qualified hand drawing to gutshot that pays twice (8:1)
player: 7d 6d 4s 3c 2d , upcard: Qs
EV(extra): -0.97

// non-qualified hand drawing to gutshot that pays twice (8:1)
player: 7d 6d 4s 3c 2d , upcard: Ks
EV(extra): -0.79

Note in the last two cases, the value of a draw is worth more against a qualifying upcard (Ace or King). This is because if you make a hand, the chances of the dealer qualifying is higher vs an Ace or King upcard than a Queen or lower.

Insurance

Insurance usually isn’t a good bet EV-wise, but it’s not a bad idea to guarantee some of your win. I always say, “If I have a Royal Flush, I’ll take some insurance.” Of course, insurance is +EV when you’re holding 2 or more copies of the dealer upcard, Queen or lower. Also, if you’re playing with other people, insurance is +EV whenever the players hold 3 or more copies of the dealer upcard. The fun part of this game is that you can win both your insurance bet, and your 2x Raise payout, when you successfully force the dealer to qualify. Pechanga lets you take insurance up to your total possible win, so you can win 2x your normal payout in the best case scenario.

Forcing the Dealer To Qualify

This is another option that players over-use, even though it is very costly. The don’t understand that they’re sacrificing their Ante payout when forcing. And the dealers all tell them to Force the hand, for some reason. You should never force the Dealer for a potential 3:1 payout. Even for a 4:1 potential payout, you should make sure that you’re not holding 2 or more of the Dealer pair outs.

When I have trips, I always say “no force”. When the other players see me passing up on the Force option, they get pretty agitated. I tell them I’ll just take the Ante win. I tell them they won’t pay the Ante if I Force, so it’s really like the Force costs two Antes. They just ignore me and take all their force opportunities. Below are some examples of the EV of the Force bet, where EV(no force) is +1.0:

player: Qd Qs Qh Ac 6h 
dealer: Ad 9c 7d 5s 4c 
forceEV: +0.7143

player: 4d 4s 4c Qc 2h 
dealer: Tc 8s 6s 5c 2s 
forceEV: +0.5714

So you can see that Forcing a 3:1 payout is a big mistake (30-40%) compared to taking your Ante win (+1.0).

Gaming Experience

You need some patience to play Lunar Poker. There are a lot of hands where the Dealer doesn’t qualify when you’re holding a 2:1 payout or better. Sometimes the game plays pretty even, but often I find myself behind by 20 or more Antes. Finally, I’ll hit a good hand like two straights (8:1) that pays 16 Antes, or even quads (20:1) that pays 40 Antes. But the game is fun, because you get to make some skilled decisions. Also, if there’s another player at the table, you can get the house edge down considerably (it’s +EV @ +0.4% with very simple modifications to basic strategy). Get this game placed in your local casino!

Easy Six Baccarat

Posted in +EV, baccarat by stephenhow on September 12, 2012

A reader just asked about a no-commission game called Easy Six Baccarat. I’ll keep this post short, for those in-the-know. Use the simple taps (6 => -7, 7 => +3, 8 => +2, 9 => +2) and a true count threshold of 5.0. For an 8-deck shoe with 52 cards behind the cut card, you’ll net +49% of a fixed bet per shoe, on an average of 12 bets/shoe. For an 8-deck shoe with 16 cards behind the cut card, you’ll net +84% of a fixed bet per shoe, on an average of 15 bets/shoe.

For simplicity, you can use the RCmin thresholds in following table:

hand # Min RC Threshold
burn
1 40 40 39 39 38 38 37 37 36 36 35 35
13 34 34 33 33 32 32 31 31 31 30 30 29
25 29 28 28 27 27 26 26 25 25 24 24 23
37 23 22 22 21 21 21 20 20 19 19 18 18
49 17 17 16 16 15 15 14 14 13 13 12 12
61 11 11 11 10 10 9 9 8 8 7 7 6
73 6 5 5 4 4 3 3 2 2 2 1 1

Raise It Up Stud @ Pala Casino

Posted in Uncategorized by stephenhow on September 1, 2012

While visiting Pala Casino to check out House Money yesterday, I ran across the new ShuffleMaster game Raise It Up Stud. It has the familiar ShuffleMaster Ante, Blind, and 1x-3x Play bets, and there’s a 3-card community board. There’s no dealer hand; you’re just playing against a Paytable. You’re dealt 3 cards at the start of the hand, and you can bet 3x on your first 3 cards, or check. The dealer then turns up the first community board card, and you can now 2x bet your hand, or check. The dealer then turns up the 2nd community card, and you must either 1x bet to see the river, else fold. If you make a pair of Ten’s or better, you win even money on your ante, and odds on your Play bet. If you make trips or better, you win odds on your Blind bet. If you don’t make Ten’s or better, or if you fold, you lose all your bets.

I’d say the game plays like a more forgiving (easier) version of Mississippi Stud. You can raise a winning hand as soon as you make it, and you get paid odds on your raise. However, you can only make one bet per hand (in Mississippi Stud, you can bet a winner on all streets). But you can check until you make a hand, or have to call a draw. The Play and Blind paytables are listed below. Combining your three hold cards with the three community cards, you make your best 5 card hand.

This game is probably the long-awaited replacement for Let It Ride, which the dealers call “Let It Die”. They all hate the game, because they either stand dead at an empty table, or they just push back bets until someone occasionally wins on a 1x bet on the River. At Viejas, dealers keep their own tokes, so they hope the floor supervisor closes the game as early as possible, so they can go deal a game where they can make money. Hence, “Let It Die”.

Everyone was having a great time at Raise It Up last night, and the dealers were making lots of tokes. (Tokes are especially +EV on the Ante/Play bets; a nice little angle.) You make a lot more hands with 6 cards (compared to 5 in Let It Ride). Plus, you’re supposed to bet a lot more hands in this game than Let It Ride (small pairs, gut shot straight draws, 3 pay cards on 3rd St, etc.)

Raise It Up Stud Play Paytable
Hand Payout
Royal Flush 100:1
Straight Flush 20:1
Four-of-a-Kind 10:1
Full House 6:1
Flush 5:1
Straight 4:1
Three-of-a-Kind 3:1
Two Pairs 3:2
10’s or Better 1:1
Others lose
Raise It Up Stud Blind Bonus
Hand Payout
Royal Flush 1000:1
Straight Flush 200:1
Four-of-a-Kind 30:1
Full House 4:1
Flush 3:1
Straight 2:1
Three-of-a-Kind 1:1
Others push

Basic Strategy

The theoretical house edge for this game is 3.5022%. Below is a simple, intuitive strategy that simulates at -3.70%. The decisions on 4th and 5th Streets are fairly obvious, and you can easily learn the 3rd Street strategy.

Raise It Up Stud Basic Strategy
Street Play Bet Betting Hands
3rd Street 3x Any pair,
3 pay cards,
2 pay cards 1-gapped or less,
suited cards 2-gapped or less,
suited cards with 2 pays
4th Street 2x Any pair,
any straight or flush draw,
3 pay cards with 3 suited
5th Street 1x Any pair,
any flush draw,
open-ended draw,
gutshot draw with pay card

where “gap” is the sum of the distance between all cards (e.g., 456 is 0-gapped, 457 is 1-gapped, JT87 is 1-gapped, JT76 is 2-gapped, etc.).

Advantage Play

Even with ideal (computer) 6-way collusion, you can’t get the house edge below 0.93%.

Eliot Jacobson has published a simple hole-carding strategy that yields from +7.6% to +62.7% depending on which board card you see. Pala procedure places the bottom board card on 4th St, so I guess it’s only worth +7.6% when you see it.