Poker Flush Higher Or Straight
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Nov 27, 2019 Poker Hand Rankings Explained. If two players have a Straight or Straight Flush, the higher Straight or Straight Flush wins.; If two players have a quads, the player with the highest quad wins.If they are identical, the highest kicker wins. If two players have a flush, the player with the highest card in the flush wins.If they are identical, the second highest card decides, then the third. Poker Hand Rankings. Royal Flush Straight Flush Four of a kind Full House Flush Straight Three of a kind Two Pair One Pair High Card. A Royal Flush is made up of all the 'broadways cards' and they must all be of the same suit. If its a flush against another flush its the flush with the higher high card (or in some special games, the flush of the higher suit). A straight flush will beat a flush, a straight, and a straight flush with a lower high card of the straight. Straight Flush was the name of a B-29 Superfortress (B-29-36-MO 44-27301, Victor number 85) that participated in the atomic bomb attack on Hiroshima on August 6, 1945. Assigned to the 393d Bomb Squadron, 509th Composite Group, it was used as a weather reconnaissance plane and flew over the city before the attack to determine if conditions were favorable for a visual drop.
Seven-Card Stud and Texas Hold’em are the two most popular forms of Poker in which the highest ranking hand wins. These games are played with a 52-card deck — there is no joker — composed of four suits: spades, hearts, diamonds, and clubs.
Each suit is equal in value, and there are 13 ranks in each suit. The ace is the highest ranking card in a suit, followed by king, queen, jack, and 10 through 2 (or deuce), in descending order. An ace may also be used as the lowest ranking card in a 5-high straight (5-4-3-2-A), which is also called a wheel or bicycle.
Although Stud and Hold’em are played with seven cards, the best hand refers to the best five-card hand. Hand rankings are a function of probability. The rarer the hand, the more valuable it is. See the figure for an at-a-glance look at hand ranking in descending value.
Royal flush; straight flush
A royal flush is simply an ace-high straight flush and is the best possible hand in Poker. There are only four of them: Ace through ten of each suit.
A straight flush is any five cards of the same suit in sequence, such as the 9 through 5 of hearts or the queen through 8 of diamonds.
Four-of-a-kind
Poker Flush Higher Or Straight Line
Four-of-a-kind, or quads, is a five-card hand composed of all the cards of one rank, plus one unrelated card. The higher the rank, the better the hand. For example, four kings beats four jacks.
Full house
Three cards of one rank and a pair of another make a full house. The rank of the full house is determined by the three-card grouping, not the pair. A hand like three 9s and two 5s is referred to as “nines full of fives.”
Flush
A flush is any five cards of the same suit. The cards are not in sequence. If they were in sequence, it would be a straight flush. If there is more than one flush, the winning hand is determined by the rank order of the highest card, or cards, in the flush. A flush composed of the ace, queen, jack, and 6 and 5 of hearts is higher than an ace, queen, jack, and 4 and 3 of spades.
Straight
Five sequenced cards, not all of the same suit, compose a straight. If more than one straight is present, the highest card in the sequence determines the winning hand. A jack-high straight of the jack through 7 of diamonds will beat a 9 through 5 of spades nine-high straight.
Three-of-a-kind
Three cards of the same rank, along with two unrelated cards is called three-of-a-kind. This hand is also referred to as trips, or a set. If you held three 8s, a king, and a 4 you could refer to it as “trip 8s” or “a set of 8s.”
Two pair
Two cards of one rank along with two cards of another rank and one unrelated card composes two pair. The higher rank determines which two pair is superior. If two players hold two pair and each has the same high pair, then the rank of the second pair determines the winner. If both players hold the same two pair, then the rank of the unrelated side card determines the winning hand. If the hand is identical, then the players split the pot. For example, queens and 8s is superior to queens and 5s.
One pair
One pair is simply two cards of one rank and three unrelated cards. If two players hold the same pair, then the value of the unrelated side cards determines the winning hand.
No pair
No pair consists of five unrelated cards. When no player has a pair, then the rank order of the unrelated cards determines the winning hand. For example, if Harry has A-Q-9-6-3 and Adrien has A-J-10-3-2, then Harry wins because A-Q ranks higher than A-J.
Low hands
In split-pot games, like Omaha/8, the best low hand composed of five unrelated cards with the rank of 8 or lower, captures half the pot. A hand like 7-6-4-3-A beats 7-6-5-3-A, but will lose to 7-4-3-2-A.
Determining the best low hand takes a bit of practice, but if you always begin with the highest of the low cards and continue in descending order, you can’t go wrong.
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Introduction
High Card Flush made its debut at Harrah's Laughlin in summer 2011. In February 2013 it found another placement at the M in Las Vegas. After that slow beginning the game caught on and today has lots of placements.
The game follows a fold or raise structure, like Caribbean Stud Poker and Three Card Poker. Where it differs is in the hand ranking, which is all about making the highest possible flush out of seven cards.
Rules
- High Card Flush is played with a standard 52-card deck of playing cards.
- To begin play, each player makes the mandatory Ante wager, and if desired, the optional Bonus wager.
- The player and dealer each receive seven cards face down.
- Hands are evaluated in the following fashion:
- The first ranking criteria is the greatest number of cards in any one suit. This is referred to as the 'maximum flush.' For instance, any hand with a maximum four-card flush beats any hand with a maximum three-card flush, but loses to any hand with a maximum five-card flush.
- The second ranking criteria is the standard poker-rankings for flushes; that is, a hand with a maximum four-card flush of K-Q-J-T would beat a hand with a maximum four-card flush of K-Q-J-9, but lose to a hand with a maximum four-card flush of A-4-3-2.
- Each player then decides upon one of the following options:
- Fold, and surrender the Ante.
- Raise, placing a second bet equal to at least the Ante. The maximum amount of the Raise wager depends on the rank of the player?s hand:
- With a two-, three- or four-card flush, the maximum Raise wager is equal to the Ante wager.
- With a five-card flush, the maximum Raise wager is double the Ante wager.
- With a six- or seven-card flush, the maximum Raise wager is triple the Ante wager.
- Once all players have decided, the dealer turns over his seven cards and evaluates his hand in a similar fashion as described above.
- If the dealer does not have at least a three-card flush, nine-high, all remaining players have their Antes paid, and the Raise bets are pushed.
- If the dealer has at least a three-card flush, nine-high, his hand is compared to each other player:
- All players with a higher-ranking hand win, and have their Ante and Raise wagers paid at even money.
- All players with a lower-ranking hand lose, and have their Ante and Raise wagers collected.
- Players with the exact same ranking hand as the dealer push both their Ante and Raise wagers.
- Finally, any player who made the Bonus wager has his hand evaluated against the Bonus paytable, and the Bonus wager is either paid or collected as necessary.
Mousseau Strategy
Charles Mousseau determined that without regard to cards not part of the highest flush, a close to perfect strategy is to raise on T-8-6 or higher. The player should always make the largest allowed Raise bet. This strategy has a house edge of 0.06% higher than optimal strategy.
What Is A Straight Flush
That means to raise any four-card or higher flush, and any three-card flush of rank T-8-6 or greater. For example, you would raise J-3-2, but fold T-7-5.
The following table shows the probability and return for each possible event under the Mousseau strategy. The lower right cell shows a house edge of 2.71%.
Mousseau Strategy Return Table
| Event | Pays | Probability | Return |
|---|---|---|---|
| Player raises 3x, dealer qualifies, player wins | 4 | 0.001604 | 0.006416 |
| Player raises 2x, dealer qualifies, player wins | 3 | 0.021374 | 0.064121 |
| Player raises 1x, dealer qualifies, player wins | 2 | 0.258352 | 0.516703 |
| Player raises 1x, dealer does not qualify | 1 | 0.160076 | 0.160076 |
| Player raises 2x, dealer does not qualify | 1 | 0.006590 | 0.006590 |
| Player raises 3x, dealer does not qualify | 1 | 0.000444 | 0.000444 |
| Player raises 1x, dealer qualifies, player pushes | 0 | 0.000839 | 0.000000 |
| Player raises 2x, dealer qualifies, player pushes | 0 | 0.000001 | 0.000000 |
| Player raises 3x, dealer qualifies, player pushes | 0 | 0.000000 | 0.000000 |
| Player folds | -1 | 0.320589 | -0.320589 |
| Player raises 1x, dealer qualifies, player loses | -2 | 0.229568 | -0.459136 |
| Player raises 2x, dealer qualifies, player loses | -3 | 0.000559 | -0.001678 |
| Player raises 3x, dealer qualifies, player loses | -4 | 0.000003 | -0.000013 |
| Totals | 1.000000 | -0.027065 |
Under the Mousseau strategy, the average final wager is 1.712 units. Thus, the element of risk is 2.706%/1.712 = 1.581%.
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Poker Flush Higher Or Straight Talk
High Card Flush Advanced Strategy
Wizard of Odds contributor Gordon Michaels has published a High Card Flush Advanced Strategy. His strategy considers the suit distribution of the penalty cards with T-3-2 to T-9-8. The bottom line is a house edge of 2.6855%. Please click the link for the specifics.
Optimal Strategy
An optimal strategy has yet to be put in writing. However, we can narrow it down, as follows.
- Make maximum raise bet with J-9-6 or higher.
- Fold 9-7-4 or lower.
- You're on your own with 9-7-5 to J-9-5.
The following table shows that under the unknown optimal strategy the house edge is 2.64%.
Optimal Strategy Return Table
| Event | Pays | Probability | Return |
|---|---|---|---|
| Player raises 3x, dealer qualifies, player wins | 4 | 0.001618 | 0.006473 |
| Player raises 2x, dealer qualifies, player wins | 3 | 0.021472 | 0.064417 |
| Player raises 1x, dealer qualifies, player wins | 2 | 0.258181 | 0.516361 |
| Player raises 1x, dealer does not qualify | 1 | 0.160038 | 0.160038 |
| Player raises 2x, dealer does not qualify | 1 | 0.006617 | 0.006617 |
| Player raises 3x, dealer does not qualify | 1 | 0.000448 | 0.000448 |
| Player raises 1x, dealer qualifies, player pushes | 0 | 0.000840 | 0.000000 |
| Player raises 2x, dealer qualifies, player pushes | 0 | 0.000001 | 0.000000 |
| Player raises 3x, dealer qualifies, player pushes | 0 | 0.000000 | 0.000000 |
| Player folds | -1 | 0.321365 | -0.321365 |
| Player raises 1x, dealer qualifies, player loses | -2 | 0.228857 | -0.457715 |
| Player raises 2x, dealer qualifies, player loses | -3 | 0.000560 | -0.001679 |
| Player raises 3x, dealer qualifies, player loses | -4 | 0.000003 | -0.000013 |
| Totals | 1.000000 | -0.026418 |
Under the Mousseau strategy, the average final wager is 1.711 units. Thus, the element of risk is 2.642%/1.711 = 1.544%.
Miscellaneous statistics:
- All told, when the player plays optimally, the player will raise 67.86% of the time.
- The dealer will have a qualifying hand 75.36% of the time.
- The player and dealer will tie 0.08% of the time.
Flush Bet
I have heard of two pay tables for the Flush bet. The following three tables show the details.
Pay Table 1
| Cards | Pays | Probability | Return | |
|---|---|---|---|---|
| 7 | 300 | 6,864 | 0.000051 | 0.015392 |
| 6 | 100 | 267,696 | 0.002001 | 0.200095 |
| 5 | 10 | 3,814,668 | 0.028514 | 0.285135 |
| 4 | 1 | 26,137,540 | 0.195370 | 0.195370 |
| 3 or less | -1 | 103,557,792 | 0.774064 | -0.774064 |
| Total | 133,784,560 | 1.000000 | -0.078072 |
Pay Table 2
Poker What Is Higher Flush Or Straight
| Cards | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| 7 | 300 | 6,864 | 0.000051 | 0.015392 |
| 6 | 75 | 267,696 | 0.002001 | 0.150071 |
| 5 | 5 | 3,814,668 | 0.028514 | 0.142568 |
| 4 | 2 | 26,137,540 | 0.195370 | 0.390741 |
| 3 or less | -1 | 103,557,792 | 0.774064 | -0.774064 |
| Total | 133,784,560 | 1.000000 | -0.075292 |
Straight Flush Bet
The Straight Flush side bet pays according to the longest straight flush the player can make. I observed it only at the Planet Hollywood. The lower right cell shows a house edge of 13.11%.
Straight Flush Side Wager
Poker Flush Or Straight
| Cards | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| 7 | 8000 | 32 | 0.000000 | 0.001914 |
| 6 | 1000 | 1,592 | 0.000012 | 0.011900 |
| 5 | 100 | 39,960 | 0.000299 | 0.029869 |
| 4 | 60 | 676,196 | 0.005054 | 0.303262 |
| 3 | 7 | 8,642,932 | 0.064603 | 0.452224 |
| 2 or less | -1 | 124,423,848 | 0.930031 | -0.930031 |
| Total | 133,784,560 | 1.000000 | -0.130864 |
Acknowledgements
- Thanks for Charles Mousseau for providing the math for this game, except on the Straight Flush side bet. Charles' web site is tgscience.com.
- Gordon Michaels for his High Card Flush Advanced Strategy.