A non-participatory spectator of a poker game rainbow Three or four cards of different suits, especially said of a flop. Betting a rainbow: to make a bet of one chip of each colour currently in play. Raise See main article: raise rake See main article: rake. Also juice, vig, vigorish rakeback. Betting limits apply to the amount a player may open or raise, and come in four common forms: no limit, pot limit (the two collectively called big bet poker), fixed limit, and spread limit. All such games have a minimum bet as well as the stated maximums, and also commonly a betting unit, which is the smallest denomination in which bets can be.
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Introduction
Crazy 4 Poker is a poker variation invented by Roger Snow and is marketed by Shufflemaster. It has been around since about 2004 and one of the more successful poker-based casino games.
Video Tutorial
Video uses our practice Crazy 4 Poker game.
Rules
- Play starts with the player making equal bets on the Ante and Super Bonus. The player may also bet on the Queens Up side bet at this time.
- Following is the ranking of hands from highest to lowest:
- Four of a kind.
- Straight flush
- Three of a kind
- Flush
- Straight
- Two pair
- Pair
- Four singletons
- All player and dealer get five cards each.
- The player decides to fold or raise by making a Play wager.
- If the player folds he forfeits all bets.
- The Play bet may be up to three times the Ante bet if the player has at least a pair of aces. Otherwise, the Play bet must be exactly equal to the Ante bet.
- Players make their best four-card poker hand, and discard the fifth card.
- After all decisions have been made, the dealer will turn over his cards and select the best four out of five.
- The player's hand shall be compared to the dealer's hand, the higher hand winning.
- For purposes of the Ante bet only, the dealer needs at least a king high to open.
- The Ante bet pays as follows:
- Dealer does not open: Ante pushes.
- Dealer opens and player wins: Ante wins.
- Dealer opens and ties: Ante pushes.
- Dealer opens and wins: Ante loses.
- The Play bet pays as follows:
- Dealer does not open: Play wins.
- Dealer opens and player wins: Play wins.
- Dealer opens and ties player: Play pushes.
- Dealer opens and wins: Play loses.
- The Super Bonus bet pays as follows. It is not pertinent whether or not the dealer opens.
- Player has straight or higher (beating dealer not required): Super Bonus wins according to pay table below.
- Player has less than straight and wins or pushes: Super Bonus pushes.
- Player has less than straight and loses: Super Bonus loses.
Super Bonus Pay Table
| Player Hand | Pays |
|---|---|
| Four aces | 200 |
| Four 2-K | 30 |
| Straight flush | 15 |
| Three of a kind | 2 |
| Flush | 1.5 |
| Straight | 1 |
Strategy
Optimal strategy would be tedious and complicated memorize. However, the player can get extremely close to it with this simple strategy. Follow the first rule to apply.
- Make large raise when allowed (with pair of aces or higher).
- Make small raise with K-Q-8-4 or higher.
- Fold all other.
The increase in house edge with the KQ84 strategy, compared to optimal, is 0.000089%.
Analysis
The next table shows the return of the Ante bet under optimal player strategy.
Ante Bet
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Win | 1 | 1,415,369,375,148 | 0.355028 | 0.355028 |
| Push | 0 | 473,003,972,892 | 0.118647 | 0.000000 |
| Loss | -1 | 2,098,272,755,400 | 0.526325 | -0.526325 |
| Total | 3,986,646,103,440 | 1.000000 | -0.171298 |
The next table shows the return of the Play bet under optimal player strategy. A win of 0 also includes folding, in which case a raise bet was never made.
Raise Bet
| Win | Combinations | Probability | Return |
|---|---|---|---|
| 3 | 671,609,661,948 | 0.168465 | 0.505394 |
| 1 | 1,215,649,215,684 | 0.304930 | 0.304930 |
| 0 | 938,265,298,824 | 0.235352 | 0.000000 |
| -1 | 1,093,014,959,196 | 0.274169 | -0.274169 |
| -3 | 68,106,967,788 | 0.017084 | -0.051251 |
| Total | 3,986,646,103,440 | 1.000000 | 0.484904 |
The next table shows the return of the Super Bonus bet under optimal player strategy.
Super Bonus Bet
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Four aces | 200 | 73,629,072 | 0.000018 | 0.003694 |
| Four 2-K | 30 | 883,548,864 | 0.000222 | 0.006649 |
| Straight flush | 15 | 3,178,321,608 | 0.000797 | 0.011959 |
| Three of a kind | 2 | 89,974,725,984 | 0.022569 | 0.045138 |
| Flush | 1.5 | 175,813,952,424 | 0.044101 | 0.066151 |
| Straight | 1 | 156,167,261,712 | 0.039173 | 0.039173 |
| Push | 0 | 1,485,273,310,140 | 0.372562 | 0.000000 |
| Loss | -1 | 2,075,281,353,636 | 0.520558 | -0.520558 |
| Total | 3,986,646,103,440 | 1.000000 | -0.347795 |
The next table summarizes the Ante, Play, and Super Bonus bets. The sum shows the player can expect to lose 3.48% for every hand played, compared to the size of his Ante (or Super Bonus) bet. For example, if the player started with $10 on both the Ante and Super Bonus, then he could expect to lose 34.8¢, assuming optimal strategy.
Summary
| Bet | Return |
|---|---|
| Ante | -0.171298 |
| Raise | 0.484904 |
| Super Bonus | -0.347795 |
| Total | -0.034189 |
The next table shows the net overall win between the Ante, Play, and Super Bonus under optimal player strategy.
Net Win
| Win | Combinations | Probability | Return |
|---|---|---|---|
| 204 | 56,580,432 | 0.000014 | 0.002895 |
| 203 | 17,048,640 | 0.000004 | 0.000868 |
| 34 | 764,060,808 | 0.000192 | 0.006516 |
| 33 | 119,340,480 | 0.000030 | 0.000988 |
| 26 | 147,576 | 0.000000 | 0.000001 |
| 19 | 2,708,500,216 | 0.000679 | 0.012908 |
| 18 | 467,451,204 | 0.000117 | 0.002111 |
| 15 | 239,544 | 0.000000 | 0.000001 |
| 11 | 2,130,644 | 0.000001 | 0.000006 |
| 6 | 75,428,689,424 | 0.018920 | 0.113522 |
| 5.5 | 140,729,630,976 | 0.035300 | 0.194151 |
| 5 | 132,528,726,036 | 0.033243 | 0.166216 |
| 4.5 | 26,782,817,436 | 0.006718 | 0.030232 |
| 4 | 240,544,812,516 | 0.060338 | 0.241351 |
| 3 | 51,462,003,780 | 0.012909 | 0.038726 |
| 2 | 859,165,302,444 | 0.215511 | 0.431022 |
| 1.5 | 11,157,384 | 0.000003 | 0.000004 |
| 1 | 356,744,817,336 | 0.089485 | 0.089485 |
| 0 | 842,169,384 | 0.000211 | 0.000000 |
| -2 | 938,364,828,496 | 0.235377 | -0.470754 |
| -2.5 | 8,290,346,628 | 0.002080 | -0.005199 |
| -3 | 1,106,499,736,032 | 0.277552 | -0.832655 |
| -5 | 45,115,566,024 | 0.011317 | -0.056583 |
| Total | 3,986,646,103,440 | 1.000000 | -0.034189 |
The bottom right cell of the table above shows a house edge of 3.42%. This is the ratio of the expected player loss to the Ante bet. One might argue that since the Super Bonus bet is required I define the house edge as the expected loss to the sum of the required starting bets. However, in the interests of consistency with how the term is defined in other games, I choose to base the house edge on the Ante only. So, for every $100 you bet on the Ante you can expect to lose $3.42 between the Ante, Raise, and Super Bonus combined.
The standard deviation is 3.13, based on the Ante bet.
Overall the player has a 18.56% chance of making a big raise, 57.93% for a small raise, and 23.51% for folding, for an average final wager of 3.14 units. Thus, the element of risk of the game (ratio of expected loss to average total bet) is 3.42%/3.14 = 1.09%.
Queens Up
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As far as I know, there are four pay tables available for the Queens Up, according to the choice of casino management. Most Las Vegas casinos use pay table 4.
Queens Up Pay Tables
| Player Hand | Pay Table 1 | Pay Table 2 | Pay Table 3 | Pay Table 4 |
|---|---|---|---|---|
| Four of a kind | 50 to 1 | 50 to 1 | 50 to 1 | 50 to 1 |
| Straight flush | 30 to 1 | 40 to 1 | 30 to 1 | 40 to 1 |
| Three of a kind | 9 to 1 | 8 to 1 | 8 to 1 | 7 to 1 |
| Flush | 4 to 1 | 4 to 1 | 4 to 1 | 4 to 1 |
| Straight | 3 to 1 | 3 to 1 | 3 to 1 | 3 to 1 |
| Two pair | 2 to 1 | 2 to 1 | 2 to 1 | 2 to 1 |
| Pair of queens or better | 1 to 1 | 1 to 1 | 1 to 1 | 1 to 1 |
Queens Up — Pay Table 1
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Four of a kind | 50 | 624 | 0.000240 | 0.012005 |
| Straight flush | 30 | 2,072 | 0.000797 | 0.023917 |
| Three of a kind | 9 | 58,656 | 0.022569 | 0.203121 |
| Flush | 4 | 114,616 | 0.044101 | 0.176403 |
| Straight | 3 | 101,808 | 0.039173 | 0.117518 |
| Two pair | 2 | 123,552 | 0.047539 | 0.095078 |
| Pair of Qs to As | 1 | 242,916 | 0.093467 | 0.093467 |
| Loser | -1 | 1,954,716 | 0.752115 | -0.752115 |
| Total | 2,598,960 | 1.000000 | -0.030606 |
Queens Up — Pay Table 2
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Four of a kind | 50 | 624 | 0.000240 | 0.012005 |
| Straight flush | 40 | 2,072 | 0.000797 | 0.031890 |
| Three of a kind | 8 | 58,656 | 0.022569 | 0.180552 |
| Flush | 4 | 114,616 | 0.044101 | 0.176403 |
| Straight | 3 | 101,808 | 0.039173 | 0.117518 |
| Two pair | 2 | 123,552 | 0.047539 | 0.095078 |
| Pair of Qs to As | 1 | 242,916 | 0.093467 | 0.093467 |
| Loser | -1 | 1,954,716 | 0.752115 | -0.752115 |
| Total | 2,598,960 | 1.000000 | -0.045203 |
Queens Up — Pay Table 3
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Four of a kind | 50 | 624 | 0.000240 | 0.012005 |
| Straight flush | 30 | 2,072 | 0.000797 | 0.023917 |
| Three of a kind | 8 | 58,656 | 0.022569 | 0.180552 |
| Flush | 4 | 114,616 | 0.044101 | 0.176403 |
| Straight | 3 | 101,808 | 0.039173 | 0.117518 |
| Two pair | 2 | 123,552 | 0.047539 | 0.095078 |
| Pair of Qs to As | 1 | 242,916 | 0.093467 | 0.093467 |
| Loser | -1 | 1,954,716 | 0.752115 | -0.752115 |
| Total | 2,598,960 | 1.000000 | -0.053175 |
Queens Up — Pay Table 4
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Four of a kind | 50 | 624 | 0.000240 | 0.012005 |
| Straight flush | 40 | 2,072 | 0.000797 | 0.031890 |
| Three of a kind | 7 | 58,656 | 0.022569 | 0.157983 |
| Flush | 4 | 114,616 | 0.044101 | 0.176403 |
| Straight | 3 | 101,808 | 0.039173 | 0.117518 |
| Two pair | 2 | 123,552 | 0.047539 | 0.095078 |
| Pair of Qs to As | 1 | 242,916 | 0.093467 | 0.093467 |
| Loser | -1 | 1,954,716 | 0.752115 | -0.752115 |
| Total | 2,598,960 | 1.000000 | -0.067772 |
6-Card Bonus
Some casinos add on a side bet known as the 6-Card Bonus. This side bet is found on multiple poker-derivative games, so I created a special page for it. For more information, please see my page on the 6-Card Bonus.
Millionaire Progressive
This is a $5 'red light' progressive side bet that pays $1,000,000 for a royal flush in spades, using the player's five cards. For all the rules and analysis, please see my page on the Millionaire Progressive.
Practice Game
Before you play for real money, practice your Crazy 4 Poker game right here.
Internal Links
There is also a similar game called Four Card Poker.
External Links
Shufflemaster's official web site for Crazy 4 Poker.
Written by:Michael Shackleford
Table Of Contents
In this article, we're going to talk about another of those important tools to introduce to your Texas Hold'em poker arsenal – the 4-bet. When utilized effectively, against the right opponent, this can provide a much-needed boost to your hourly win rate over time. The 4-bet is a betting technique that allows you to take advantage of certain opponents and turn their aggression into a weakness that's hugely profitable for you.
it's always best to play your premium hands strongly rather than slow-playing
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You will eventually find yourself in 4-bet situations, especially if you aspire to play poker seriously or even if you just want to give yourself the best chance of winning playing recreationally. Ideally, all poker players should learn an in-depth 4-bet strategy so they can utilize these skills at the table and win against any type of opponent. But it isn't as cut-and-dried as you may think. Read on to find out more about how this bold poker play can yield great results in the right situations.
What is a 4-bet and How Does it Work?
Meet A Poker Bet
If an opponent re-raises an initial pre-flop raise, this is considered a 3-bet. Therefore, a 4-bettor is someone that is prepared to re-raise the player that placed the 3-bet. We mentioned pre-flop raises because 4-betting is most commonly used before the community cards are displayed, with players 4-betting based upon the strength of their hole cards and that of their opponents.
There are various reasons why you might consider 4-betting with your poker hand. For starters, you might wish to extract maximum value from players with poor holdings that simply cannot let go of their hands. You might have the bravery to use a 4-bet as a bluff, but we'll go into the scenarios where a 4-bet bluff would be most effective shortly.
When and Why You Should Consider a 4-bet
One of the best ways to use a 4-bet is if you have a premium hand or even the 'nuts'. When it comes to No Limit Hold'em, it's always best to play your premium hands strongly rather than slow-playing in a bid to trap your opponents. While slow-playing hands can be beneficial sometimes, playing a hand strongly allows you to build a bigger pot and extract more value from your opponents.
For instance, if you face a 3-bet from an opponent pre-flop and you are holding pocket kings or aces, it's a good idea to 4-bet most of the times. You'll help to build funds into the pot when your pre-flop hand is, hopefully, ahead of theirs.
There is also a similar game called Four Card Poker.
External Links
Shufflemaster's official web site for Crazy 4 Poker.
Written by:Michael Shackleford
Table Of Contents
In this article, we're going to talk about another of those important tools to introduce to your Texas Hold'em poker arsenal – the 4-bet. When utilized effectively, against the right opponent, this can provide a much-needed boost to your hourly win rate over time. The 4-bet is a betting technique that allows you to take advantage of certain opponents and turn their aggression into a weakness that's hugely profitable for you.
it's always best to play your premium hands strongly rather than slow-playing
The San Manuel Indian Bingo and Casino is the closest casino with slot machines to the vast majority of towns in the greater Los Angeles metropolitan area. However there are two other casinos within a 100 mile radius of downtown Los Angeles. Closest casino to downtown los angeles.
You will eventually find yourself in 4-bet situations, especially if you aspire to play poker seriously or even if you just want to give yourself the best chance of winning playing recreationally. Ideally, all poker players should learn an in-depth 4-bet strategy so they can utilize these skills at the table and win against any type of opponent. But it isn't as cut-and-dried as you may think. Read on to find out more about how this bold poker play can yield great results in the right situations.
What is a 4-bet and How Does it Work?
Meet A Poker Bet
If an opponent re-raises an initial pre-flop raise, this is considered a 3-bet. Therefore, a 4-bettor is someone that is prepared to re-raise the player that placed the 3-bet. We mentioned pre-flop raises because 4-betting is most commonly used before the community cards are displayed, with players 4-betting based upon the strength of their hole cards and that of their opponents.
There are various reasons why you might consider 4-betting with your poker hand. For starters, you might wish to extract maximum value from players with poor holdings that simply cannot let go of their hands. You might have the bravery to use a 4-bet as a bluff, but we'll go into the scenarios where a 4-bet bluff would be most effective shortly.
When and Why You Should Consider a 4-bet
One of the best ways to use a 4-bet is if you have a premium hand or even the 'nuts'. When it comes to No Limit Hold'em, it's always best to play your premium hands strongly rather than slow-playing in a bid to trap your opponents. While slow-playing hands can be beneficial sometimes, playing a hand strongly allows you to build a bigger pot and extract more value from your opponents.
For instance, if you face a 3-bet from an opponent pre-flop and you are holding pocket kings or aces, it's a good idea to 4-bet most of the times. You'll help to build funds into the pot when your pre-flop hand is, hopefully, ahead of theirs.
Positionally, a 4-bet should also be employed periodically when you are playing out of position. Although this can seem like a scary leap into the unknown, it can work brilliantly against players that lack the faith in their convictions and tend to fold meekly to aggressors.
Factoring Opponents Into Your Strategy
Your opponents do heavily influence when and how frequently you choose to 4-bet at the poker table. Their approach and style of play will determine when you consider utilizing it. 4-bets are typically a good strategy to employ when you are up against some loose and aggressive gameplay, which is a plot that Dan Bilzerian claims to have pioneered. 4-bet bluffs are an important skill to develop as you go through the poker ranks, as these will become an integral factor in your survival when tournaments go deep or you're playing against more experienced people for bigger money.
Of course, 4-betting is almost pointless when you come up against an absolute rock that plays tight and is not known for folding their good hands, regardless of them being the victim of a 4-bet. However, 4-betting does offer huge value against those loose-aggressive 3-bettors that aren't afraid to re-raise an initial raiser with a wide range of holdings, not just premium made hands. If you are prepared to 4-bet imposing, aggressive players, it demonstrates to the rest of the table that you aren't a shrinking violet and you have confidence in your hands and abilities; thereby gaining you respect that can help extract value from hands where you might bluff in the future.
How to Combat Those Who 4-Bet Against You
On the flip side, if you come up against an opponent that regularly 4-bets against you after your 3-bet, do bear in mind that you'll often be getting good odds to flat call. Sometimes, this can be as much as 3 or 4 to 1. If you find that you have 25-30% equity against your opponent's 4-bet range, it could be a profitable call to make over the long-term.
Four Bet Poker Wins
The Key Takeaway For a Successful 4-Bet Poker Strategy
It's important when you start to employ a 4-bet strategy that you don't just do so arbitrarily with hands. While aggression is good to see, semi-bluffs that could transform weak holdings into competitive hole cards on the flop are opportunistic. Pick the right moments to 4-bet rather than doing so from the outset with any two hole cards. Suited aces are statistically some of the best hands one could use in a 4-bet scenario. That's because having an ace in your own hand reduces the chance of the 3-bettor having two aces in their own hand. Suited aces also give you pre-flop outs, whether it's straight draws or nut flush draws that all of a sudden help your original 4-bet pay off.
You could also consider 4-betting with suited connectors that aren't strong enough to simply call and see a flop. Alternatively, off-suit face card hands like KQ off-suit or JQ off-suit could also be useful 4-bet hands to block the prospect of premium holdings and give yourself a chance of improving to a broadway hand.
If you are prepared to take this information on board and use it to your advantage, you should be ready to 4-bet and take your poker game to the next level!
Lead photo by Free-Photos, Public Domain. Mid photo by Free-Photos, Public Domain. Sponsored content by 888poker.
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