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Mathematics: Flushes & Straights : Simple Pot Odds : Implied Odds : Reverse Implied Odds
*The odds against making a royal flush are 649,739-to-1. By comparison, the odds of making a straight flush, poker’s second strongest hand, are 0.00139%, with the odds against at 72,192.3-to-1. Calculating the odds of royal flush for Texas Hold’em requires different mathematics, as Texas Hold’em hands are made by choosing the best five.
*The probability of not having a royal would be 1-0.000092=0.999908. An estimate of the probability there are no royals in 9 hands is 0.999908^9 = 0.999169. So the probability of at least one royal in 9 hands is 1-0.999169=0.000831.
The probability of being dealt a royal flush is the number of royal flushes divided by the total number of poker hands. We now carry out the division and see that a royal flush is rare indeed. There is only a probability of 4/2,598,960 = 1/649,740 = 0.00015% of being dealt this hand. Playing poker is about playing the odds. The following list gives the odds for outcomes in Texas Hold’em hands. When you realize how heavily the odds are stacked against you, you may want to rethink going all-in before the flop with two suited cards. Use the odds to your advantage: 1 percent (1-in-100): Percentage of.
Watch SplitSuit’s video on Flushes and Flush Draws for 8 hand histories involving strategy on playing flushes in Texas Hold’em.
You are on the flop with a pretty decent flush draw. You have two hearts in your hand and there are another two on the flop.
Indian casino near lake havasu. Unfortunately, some cool cat has made a bet, putting you in a tricky situation where you have to decide whether or not it is in your best interest to call to try and make the flush, or fold and save your money.
This is a prime example of where you are going to take advantage of ’pot odds’ to work out whether or not it is worth making the call.What are pot odds? What about flushes and straights?
Basically, just forget about the name if you haven’t heard about it before, there’s no need to let it throw you off. Just think of ’pot odds’ as the method for finding out whether chasing after a draw (like a flush or straight) is going to be profitable. If you’re on your toes, you might have already been able to guess that it is generally better to chase after a draw when the bet is small rather than large, but we’ll get to that in a minute..
Pot odds will tell you whether or not to call certain sized bets to try and complete your flush or straight draw.Why use pot odds?
Because it makes you money, of course.
If you always know whether the best option is to fold or call when you’re stuck with a hand like a flush draw, you are going to be saving (and winning) yourself money in the long run. On top of that, pot odds are pretty simple to work out when you get the hang of it, so it will only take a split second to work out if you should call or fold the next time you’re in a sticky drawing situation. How nice is that?How to work out whether or not to call with a flush or straight draw.
Now, this is the meat of the article. But trust me on this one, the ’working-out’ part is not as difficult as you might think, so give me a chance to explain it to you before you decide to knock it on the head. So here we go..
Essentially, there are two quick and easy parts to working out pot odds. The first is to work out how likely it is that you will make your flush or straight (or whatever the hell you are chasing after), and the second is to compare the size of the bet that you are facing with the size of the pot. Then we use a little bit of mathematical magic to figure out if we should make the call.1] Find out how likely it is to complete your draw (e.g. completing a flush draw).
All we have to do for this part is work out how many cards we have not seen, and then figure out how many of these unknown cards could make our draw and how many could not.
We can then put these numbers together to get a pretty useful ratio. So, for example, if we have a diamond flush draw on the flop we can work out..The maths.
There are 47 cards that we do not know about (52 minus the 2 cards we have and minus the 3 cards on the flop).
*9 of these unknown cards could complete our flush (13 diamonds in total minus 2 diamonds in our hand and the 2 diamonds on the flop).
*The other 38 cards will not complete our flush (47 unknown cards, minus the helpful 9 cards results in 38 useless ones).
*This gives us a ratio of 38:9, or scaled down.. roughly 4:1.
So, at the end of all that nonsense we came out with a ratio of 4:1. This result is a pretty cool ratio, as it tells us that for every 4 times we get a useless card and miss our draw, 1 time will we get a useful card (a diamond) and complete our flush. Now all we need to do is put this figure to good use by comparing it to a similar ratio regarding the size of the bet that we are facing.
After you get your head around working out how many cards will help you and how many won’t, the only tricky part is shortening a ratio like 38:9 down to something more manageable like 4:1. However, after you get used to pot odds you will just remember that things like flush draws are around 4:1 odds. To be honest, you won’t even need to do this step the majority of the time, because there are very few ratios that you need to remember, so you can pick them off the top of your head and move on to step 2.2] Compare the size of the bet to the size of the pot.
The title pretty much says it all here. Use your skills from the last step to work out a ratio for the size of the bet in comparison to the size of the pot. Just put the total pot size (our opponent’s bet + the original pot) first in the ratio, and the bet size second. Here are a few quick examples for you..
*$20 bet into a $100 pot = 120:20 = 6:1
*$0.25 bet creating a total pot size of $1 = 1:0.25 = 4:1
*$40 bet creating a total pot size of $100 = 100:40 = 2.5:1
That should be enough to give you an idea of how to do the second step. In the interest of this example, I am going to say that our opponent (with a $200 stack) has bet $20 in to a $80 pot, giving us odds of 5:1 ($100:$20). This is going to come in very handy in the next step.
This odds calculation step is very simple, and the only tricky part is getting the big ratios down into more manageable ones. However, this gets a lot easier after a bit of practice, so there’s no need to give up just yet if you’re not fluent when it comes to working with ratios after the first 5 seconds. Give yourself a chance!
To speed up your pot odds calculations during play, try using the handy (and free) SPOC program.Chances Of Hitting A Royal Flush In Texas Holdemas Hold Em3] Compare these two ratios.
Now then, we know how likely it is that we are going to complete our draw, and we have worked out our odds from the pot (pot odds, get it? It’s just like magic I know.). Seattle poker tournaments schedule. All we have to do now is put these two ratios side to side and compare them..
*5:1 pot odds
*4:1 odds of completing our draw on the next card
The pot odds in this case are bigger than the odds of completing our draw, which means that we will be making more money in the long run for every time we hit according to these odds. Therefore we should CALL because we will win enough to make up for the times that we miss and lose our money.
If that doesn’t make total sense, then just stick to these hard and fast rules if it makes things easier:
If your pot odds are bigger than your chances of hitting - CALL
If your pot odds are smaller than your chances of hitting - FOLD
So just think of bigger being better when it comes to pot odds. Furthermore, if you can remember back to the start of the article when we had the idea that calling smaller bets is better, you will be able to work out that small bets give you bigger pot odds - makes sense right? It really comes together quite beautifully after you get your head around it.What if there are two cards to come?
In this article I have shown you how to work out pot odds for the next card only. However, when you are on the flop there are actually 2 cards to come, so shouldn’t you work out the odds for improving to make the best hand over the next 2 cards instead of 1?
No, actually.
Even if there are 2 cards to come (i.e. you’re on the flop), you should still only work out the odds of improving your hand for the next card only.
The reason for this is that if you work using odds for improving over two cards, you need to assume that you won’t be paying any more money on the turn to see the river. Seeing as you cannot be sure of this (it’s quite unlikely in most cases), you should work out your pot odds for the turn and river individually. This will save you from paying more money than you should to complete your draw.
I discuss this important principle in a little more detail on my page about the rule of 2 and 4 for pot odds. It’s also one of the mistakes poker players make when using odds.
Note: The only time you use odds for 2 cards to come combined is when your opponent in all-in on the flop. In almost every other case, you take it one card at a time.Playing flush and straight draws overview.
I really tried hard to keep this article as short as possible, but then again I didn’t want to make it vague and hazy so that you had no idea about what was going on. I’m hoping that after your first read-through that you will have a rough idea about how to work out when you should call or fold when on a flush or straight draw, but I am sure that it will take you another look over or two before it really starts to sink in. So I advise that you read over it again at least once.
The best way to get to grips with pot odds is to actually start working them out for yourself and trying them out in an actual game. It is all well and good reading about it and thinking that you know how to use them, but the true knowledge of pot odds comes from getting your hands dirty and putting your mind to work at the poker tables.
It honestly isn’t that tough to use pot odds in your game, as it will take less than a session or two before you can use them comfortably during play. So trust me on this one, it is going to be well worth your while to spend a little time learning how to use pot odds, in return for always knowing whether to call or fold when you are on a draw. It will take a load off your mind and put more money in your pocket.
To help you out when it comes to your calculations, take a look at the article on simple pot odds. It should make it all a lot less daunting.
Go back to the sublime Texas Hold’em guide.
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Casinos are always looking for new games to offer bored gamblers. Over the last decade or 2, these games are more commonly related to poker than anything else. But games like these—including Scientific Gaming’s Ultimate Texas Holdem—are more akin to blackjack than to poker. In fact, dealing Ultimate Texas Holdem is considered dealing a novelty casino game. The College of Southern Nevada covers how to deal Ultimate Texas Holdem in their blackjack class.
What’s the big difference between Ultimate Texas Holdem (and games like it) and “real” poker games? The main difference is who you’re competing with. In a so-called real poker game, you’re competing with the other players at the table. If you win money, you’re winning it from them. If you lose money, you’re losing it to your competitors at the table.In casino-banked poker games, like baccarat, blackjack, or Ultimate Texas Holdem, you’re competing with the house. And for the most part, when you’re competing with the house, the casino has an edge over the player. In fact, the only exceptions are when players are either cheating or using some kind of advantage play technique.
This isn’t a value judgment. It’s perfectly all right to play house-banked casino games. Gamblers do it every day. I’m pointing out the distinction because it’s important to know what you’re getting into when you play a casino game.
With that as a premise—understanding in detail what you’re getting into when you’re playing a casino game—I offer you this post: “The Definitive Guide to Ultimate Texas Holdem.” The idea is to share everything you would ever need or want to know about Ultimate Texas Holdem. Luckily, it’s not that complicated a game. There’s no need to write an entire book about it, like you would do with blackjack or poker.

Ultimate Texas Holdem is a card game where you play heads-up against a casino dealer. Other players at the table are also playing heads-up against the dealer. It features a progressive jackpot, among other payouts.
You start by making 2 equal-sized bets:
*The Ante Bet
*The Blind Bet
At most casinos, the minimum bet is either $5 or $10. The maximum bet is usually between $50 an $500.
You also have 2 optional bets you can make:
*The Trips Bonus Bet
*The Progressive Bet
You start by getting 2 hole cards from the dealer—these are 2 cards that are dealt to you face-down, just like in regular Texas holdem.
When you get those cards, you can choose from the following actions:
*Check
*Bet 3X the Ante (A “Play” Bet.)
*Bet 4X the Ante (Also a “Play” Bet.)
After you’ve made your decision, the dealer reveals 3 face-up cards—the “flop.” (This is also how regular Texas holdem works.)
If you checked when you got your hole cards, you have the option now to place a bet of 2X the Ante (another example of a “Play Bet.”) After that decision is made, the dealer turns over 2 more face-up cards—the turn and the river, in Texas holdem terms. Note that the action here is different than in traditional Texas holdem. Normally you’d have a turn, followed by a betting round, then the river, followed by another betting round.Ultimate Texas Holdem combines the turn and the river into one phase. After this, if you haven’t already bet on your hole cards or on the flop, you have the option of placing a bet of equal size to the Ante. (This is the final example of a “Play Bet.”) You may also fold at this point.
Once you’ve made your decision, the dealer reveals her hole cards and announces the final hand. If your hand beats the dealer’s hand (using the standard poker hand rankings), you win even money on your Ante bets and the Play bets. On the other hand, if the dealer’s hand beats yours, you lose your Ante, Blind, and Play Bets. If you tie, then these bets are all treated as a “push.” (A push is when your original bet is returned to you, but without any winnings. You have neither a net win nor a net loss.)
The Blind Bet is handled differently. It pays off if you win AND if you have a straight or better. If you have less than a straight but still beat the dealer, the Blind Bet is treated as a push. The Blind Bet is paid off based on a pay table. The better your hand, the more it pays off. (It’s like video poker in this respect.)Also, the dealer must qualify for the Ante Bet to pay off. The dealer qualifies by having at least a pair or better. The other bets still get action, regardless of whether the dealer qualifies. The progressive bet wins if you have a full house or better. The top jackpot pays off if you have a royal flush on the 1st 5 cards of the game.
Casinos generally use a shuffling machine called an “i-Deal single deck specialty shuffler.” That’s because this game was created by Shufflemaster, which is now a division of Scientific Games. Shufflemaster’s reason for existence is to sell shuffling machines to casinos, so creating new cards is something they do in service to this goal.
The Blind Bet and the Trips Bonus Bet have 2 different pay tables.
Here’s a common pay table for the Blind Bet:HandPayoutRoyal flush500 to 1Straight flush50 to 14 of a kind10 to 1Full house3 to 1Flush3 to 2StraightEven money
Keep in mind that the Blind Bet pays off regardless of whether the dealer qualifies. Also, notice that 3 of a kind doesn’t pay off for the Blind Bet, which is an interesting quirk of the game. The pay tables can vary—the casino gets to choose from multiple options. For example, some casinos pay off 40 to 1 instead of 50 to 1 for a straight flush. This changes the house edge for the game, of course.
Here’s a common pay table for the Trips Bonus Bet:HandPayoutRoyal flush50 to 1Straight flush40 to 14 of a kind30 to 13 of a kind8 to 1Full house8 to 1Flush6 to 1Straight5 to 1
Here are a couple of facts to keep in mind about the Trips Bonus Bet:
*Your hand doesn’t have to win. It pays off regardless of whether you or the dealer wins.
*It wins even if you don’t have to use your hole cards. You can just play the board (the flop, turn, and river.)
*It wins even if you fold.Odds Of Hitting A Straight Flush In Texas HoldemHow the Progressive Bet and Jackpot Works

The progressive bet in Ultimate Texas Holdem is also an optional side bet. At most casinos, this bet is a flat $1 bet. But at some casinos, the Progressive Bet is $5. You can win 1 of 2 progressive jackpots in this game—the smaller jackpot, or the larger jackpot. To win the smaller progressive jackpot, you must use at least 1 of your hole cards. The smaller progressive pays off for hands that are a full house or better.Odds Of Hitting A Royal Flush In Ultimate Texas Hold Em
To win the bigger progressive jackpot—which is 100% of the jackpot—you must use both your hole cards and the flop to form a royal flush. If you hit the royal flush on the turn or the river, you don’t win the bigger progressive. You can also win a percentage of the full big progressive jackpot
Casinos also feature something called an “Envy Bonus.” This is a bonus paid to any player at the table when one of the other players wins the progressive jackpot.
Casino games where you make decisions usually have a house edge that varies based on how well you make those decisions. In other words, your strategy matters. There’s always a mathematically correct play in every situation. In Ultimate Texas Holdem, your strategy is limited to whether you make Play Bets during the various stages of the game. For me, this isn’t an intuitive decision. You can find various websites offering strategies for this, but I have another recommendation:Las Vegas Advisor caters to casino gamblers, and they offer a cheap, laminated strategy chart. You can buy it for less than $6. It was created by James Grosjean, who’s well-known as a blackjack and gambling expert. According to them, if you just try to play this game using your intuition, the house edge is probably at least 10%.
The house edge is the amount of each bet that the casino projects you’ll lose on average based on the probabilities behind the game. Obviously, the lower the house edge, the better for the player. You should do everything you can to minimize the house edge on any casino game you play.
If you use perfect basic strategy on Ultimate Texas Holde

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