Sat, May 25, 3:42am by Mia Chapman
Last Updated Tue, Oct 8, 12:24am
King of Clubs Queen of Clubs Jack of Clubs 10 of Clubs 9 of Clubs - Off Broadway (because it's shifted down one rank from a Royal Flush, or 'Broadway'). Four of a Kind. One of each suit in a single rank. Also known as Quads. Many of the Four of a Kind hands have their own nicknames. The royal flush is a case of the straight flush. It can be formed 4 ways (one for each suit), giving it a probability of 0.000154% and odds of 649,739: 1. When ace-low straights and ace-low straight flushes are not counted, the probabilities of each are reduced: straights and straight flushes each become 9/10 as common as they otherwise would be.
Royal Flush
The best possible hand is a royal flush, which is a straight and a flush with the top five cards: ace, king, queen, jack, and ten. When you get these five cards all of one suit, you can’t lose in poker. Most games don’t make distinctions in suit rankings. A royal flush happens once in every 649,739 hands, so it’s a rare happening. Bet with conviction when playing these cards.
Straight Flush
A straight flush is any combination of five cards in sequence with the same suit. Getting the 2-3-4-5-6 of clubs is a straight flush, while getting the K-Q-J-10-9 of spades is a straight flush. If two happened in the same pot, the high card would win. This is also rare, about 1 in 72,192 hands or, at a 9 player table, about once every 8,000 pots.
Four of a Kind
The four of a kind is just that: four of any one card rank. You might have 4 aces, 4 sevens, or 4 twos, but each is a great hand. If two go head-to-head, the high card wins. The odds of getting this combination is one in every 4,164.
Full House
This is 3 of one card and 2 of another. If you had the 3 kings and 2 queens, it’s a full house. If you held 3 twos and 2 threes, it’s a full house. The odds of holding this hand is 1 in 694, so somebody at your table is likely to see a full house once every 75 hands or so.
Flush
The flush is simply 5 cards of any one suit, but not in sequential order. This excludes the royal flush and straight flush. A typical flush might be the king, jack, eight, five, and three of hearts.
The odds of this happening are 1:508, so a little less likely than the full house. Players should be aware in Texas holdem of the “nut flush”. Holding the nuts simply means holding the strongest possible hand from the cards showing.
The community cards show Q-J-10 and you hold the 9-8, you should be aware that you’re holding a flush which could be beat. If someone else holds a K-9, you lose. If someone holds an ace-king, they have a straight flush and you are really dominated. Since it’s a lot more likely someone holding A-K is likely to be in the pot than someone holding K-9, you must consider the possibility.
Straight
The straight is 5 cards in a row, regardless of suit. The straight might be an A-Q-J-10-9 or it might be the A-2-3-4-6, or some combination in between. Remember that the ace can fill out a straight as a high or low card. The odds you’ll get a straight are 1:254, or twice the probability you’ll draw a flush.
Three of a Kind
The three of a kind is a simply 3 of any one card rank. You might hold 3 aces or 777 or 3 twos. In any cases, triples is a strong hand in Texas holdem. This happens once in every 46.3 hands, meaning some is going to hold three of a kind once every 5 hands at a 9-player table.
Two Pair
Two pair is a two of one card and two of another. You might think this would be rarer than a 3 of a kind, but hold 2 pairs is a 1 in 20 proposition. This happens almost every other hand at a big table. Players with two pairs are urged to bet enough to push out gamblers on a draw, because the longer the hand goes, the more likely someone is going to outdraw your two pair.
One Pair
Holding one single pair. This is considered a strong starting hand, but a player needs to consider that a higher pair might be on the table. One in every 1.36 hands dealt are going to contain a pair. If you hold a pair of 2’s, that’s not nearly as good as holding a pair of A’s. Even a pair of aces is in a dangerous position if you don’t improve on the hand by getting trips, two pair, or a full house.
High Card – No Pair
The weakest hand in poker is no pair, which is called “high card”. Whatever your highest card is where your hand is ranked. If you have an ace, you would hold aces high. If you held a 7-5-4-3-2, you would have seven high, which is the weakest possible hand in most games of poker. If you were playing either the Omaha or seven-card stud hi/lo game variant, this would be a strong hand.
Otherwise, you’re going to be beaten, which is why holding a 7-2 offsuit is considered the weakest starting hand in Texas holdem. You simply hold no way to improve with flush or straight, so you’re hoping to pair 7s and 2s.
Mastering the Hand Ranks
Knowing the hand ranks gives a player a quick signpost for their strength when betting into a pot. A successful poker player needs a detailed knowledge of the hand rankings. When I say you need to know the poker hands, I’m not talking about whether a pair of aces beats a pair of kings.
I’m talking about that mass of card combinations between the best and worst hands. Whenever you hold any set of cards, a gambler needs to know its strength relative to the rest of the possibilities. To do this, card players should study hand ranking charts not much different than what you would study in blackjack.
Several experts have made tables which detail the playable hands in Texas hold’em, Omaha holdem, seven-card stud, razz, and the various hi/lo 8-or-better variants of the games already mentioned. Study these for the game or variant you want to master. That way, you know which hands to play and which to fold.
Even if you decide to play a hunch or make a bluff, you do so with the knowledge that you’re diverging from classic poker strategy. Predicate all you do in poker on a firm understanding of the hand ranks.
See also:
The ins and outs of that most elusive of hands
By Henry Tamburin
I get many questions about a royal flush in video poker. That’s not too surprising since the royal flush is the premier hand that all video poker players dream (and hope) of getting. Here’s a sample of questions and my responses.
Q: I’ve been playing video poker several times a week for over a year. You keep saying that a royal flush occurs once in every 40,000 hands yet I still haven’t gotten a royal. What gives?
Firstly, I never wrote that you could expect one royal flush after playing 40,000 hands (or one cycle). What I wrote was, “On average, you will hit a royal flush once in every 40,000 hands.” The word “average” means a whole bunch of sets of 40,000 hands. In other words, in any given set of 40,000 hands, you could hit more than one royal flush or, heaven forbid, possibly no royals. In fact, you have a 36.8% chance that you won’t get a royal in one cycle (40,000 hands), and a 13.5% chance after two cycles (80,000 hands). Ouch! Therefore, the fact that you went over a year without a royal is statistically possible.
Q: How come every time I need one card for a royal flush, it never shows up, but that exact card that I needed always seems to show up on the very next hand?
That’s because you have “selective memory.” The computer program in the video poker machine that randomly selects the cards for each hand doesn’t use the information from previous hands to determine which cards it will deal. Every hand is a random deal regardless of what cards appeared (or didn’t appear) on the previous hand.
Q: Over three years, I hit seven royal flushes in the same casino and none in two other casinos that I play regularly. I’m beginning to believe those casinos somehow tighten their video poker machines so players can’t get a royal.
You will average one royal flush per roughly every 40,000 hands at any casino. Casinos can’t change the odds of hitting a royal flush. (What they can do is change the payout … some casinos will pay less than 4,000 coins for a royal flush; therefore, always check to be sure that the payout for a five-coin royal flush is 4000 coins.) The bottom line is as long as the pay schedule is the same for a particular video poker game, the odds of getting a royal flush will be the same no matter where the machine is located (assuming a random deal).
Q: I’ve been dealt many three- and four-card royal flushes lately. What are the odds of this happening?
Playing Jacks or Better, you’ll experience the thrill of being dealt a four-card royal flush once in every 2,777 hands (roughly once every four hours on average). Once in every 92 hands, on average, you’ll be dealt a three-card royal flush (about 7-8 per hour). This is what makes video poker exciting; namely, that you’ll have several opportunities to draw for a royal flush even if the odds are somewhat long (see next question).
Q: When you hold three cards to the royal flush, what is the chance of getting the two cards that you need on the draw for a royal flush?
You have a one in 1,081 chance of getting the two cards you need for the royal flush. The following table shows the chance of hitting the royal flush on the draw when you hold x cards to the royal flush.
| RF Cards in Initial Five-Card Hand | Chance of Hitting the Royal Flush |
0 | 1 in 383,484 |
1 | 1 in 178,365 |
2 | 1 in 16,215 |
3 | 1 in 1,081 |
4 | 1 in 47 |
Q: If I’m dealt a three-card royal flush and a high pair in the same hand, why does the strategy say to hold the high pair when the royal flush pays so much more?
You need to analyze all the possible winning hands that you could get when you hold a three-card royal flush vs. when you hold a high pair in the same hand. These calculations have already been done for you. For example, suppose your initial hand contains 10-J-Q of diamonds along with a queen of clubs. The expected return (ER) for holding the pair of queens is 7.6827 vs. 7.4098 for holding the three-card royal flush (this is for 9/6 Jacks or Better). In dollars and cents, you’d earn 27 cents more on average for a max coin wager on a dollar denomination machine by holding the high pair vs. the three-card royal flush in this example.
Q: My wife plays Jacks or Better. The other day she was a dealt a hand that contained a four-card straight flush with a gap and a three-card royal flush. She held the three-card royal flush. Was that the correct play?
I’m sorry to say it wasn’t. The correct play was to hold the four-card straight flush—even with a gap—over the three-card royal flush. (Tip: If your wife had a strategy card with her, she would have made the right play.)
Q: What are the odds of being dealt a royal flush in the initial hand?
The odds are one in 649,740 hands. You might think that’s close to impossible but it could happen. (This happened to me once while I was showing my father-in-law how to play a Triple Line video poker game in a Las Vegas casino, resulting in a royal flush on each line. How’s that for luck?)
Q: How much does the royal flush contribute to the 99.54% return for 9/6 Jacks or Better?
The royal flush contributes 1.9807% toward the overall 99.64% return. The following table summarizes the contribution of each winning hand toward the overall 99.54% return (for 9/6 Jacks or Better). When you don’t hit the royal or straight flush, the best return you can expect, even playing perfectly, is about 97%.
| Hand | Contribution to Return |
| Royal Flush | 1.9807% |
| Straight Flush | 0.5465% |
| Four of a Kind | 5.9064% |
| Full House | 10.3610% |
| Flush | 6.6087% |
| Straight | 4.4917% |
| Three of a Kind | 22.3346% |
| Two Pair | 25.8558% |
| High Pair | 21.4585% |
| Total | 99.5439% |
Poker 4 Of A Kind Vs Royal Flush
Got a video poker question? Send it to HTamburin@aol.com.
Tamburin’s Tip of the Month
Poker 4 Of A Kind Vs Straight Flush
You are playing NSU Deuces Wild. How would you play these hands that don’t contain a deuce?
In the top hand, your best play is to hold the consecutive three-card straight flush 6-7-8 (2.77 ER) over the four card straight 5-6-7-8 (2.55 ER). In the bottom hand, because the three-card straight flush has a gap (2.47 ER) your best play is to hold the consecutive four-card straight 4-5-6-7. When you play NSU Deuces Wild and your initial hand doesn’t contain a deuce, you should hold a consecutive three-card straight flush (5-6-7 through 9-10-J) over a consecutive four-card straight (from 4-5-6-7 to 10-J-Q-K), but the latter over a three-card straight flush with one or two gaps.
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Henry Tamburin is a blackjack and video poker expert. He is the host of the smartgaming.com website and the editor of the Blackjack Insider newsletter (for a free three-month subscription, visit www.bjinsider.com/freetrial). For a free copy of his Casino Gambling Catalog, which contains books, strategy cards, and software for video poker players, call toll free 1-888-353-3234, or visit the web store at smartgaming.com.