Poker Hero must call $50 to stay in the hand. For example, if there’s $80 in the pot, and your call would cost $20, your pot odds are $80/$20 = 4:1. Think about the odds for the arrow of the spinner above landing on red: You can solve any probability problem in terms of odds rather than probabilities. In the first example you are getting odds of 2:1 instead of 4:1. Here are some reasonable guidelines for minimum implied odds needed for set mining in various dynamics: Odds Needed. How To Use This Pot Odds Cheat Sheet – Facing Flop Bet Example. Player A has a flush draw holding Kc 10c: The board reads: Player B has Ad 8d: Player B is considering how much to bet with their top two pair. Game: $15/$30 Limit Hold’em. Unlike raising, open limping is a passive action that does not give you an immediate opportunity to. Note – This only works if you express your pot odds against a factor of 1 eg: “3 to 1” or “5 to 1” etc. You will need to determine the size of the pot first. That $100 is the reward you can get if you're willing. For example; if you face a $50 bet on the river into a pot of $50, you risk $50 (cost of calling) to win $100 ($50 bet plus the $50 already in the pot). You are calculating the Expected Value (EV) of the river call to be EV = 20% X (12 + 4) - 80% X 4 = 0. 8×8= 64; 64 minus 21= 43. 3 to 1. For the inside straight draw, you’ll always have four outs, so: Chances of making your straight on the turn: 4 * 2 = 8%. คืออัตราส่วนระหว่างขนาดพอท ( Pot) ต่อราคาเงินเดิมพัน ( Bet) ที่เราจะต้องจ่ายเพื่อดูไพ่ เป็นหนึ่งในสิ่งที่สำคัญที่สุด. Pot Odds: Pot odds refer to the ratio of the current size of the pot to the cost of the current bet. CryptoIf you put 1/3 of your stack in the middle, your opponent can make a pot-size bet or go all-in to put you in a tough spot. Player A has a flush draw holding Kc 10c: The board reads: Player B has Ad 8d: Player B is considering how much to bet with their top two pair. 1. Let's put on example, this pot odds occur when villain bets half pot: Let's say on the river pot is 2€ and villain bets 1€. In this case, you get the required odds. Hand: A 5 Board: J T 7 Pot: $20 Player A ($100): Bets $20 Player B ($100): Calls $20 Hero ($100): ? Final Pot: $60 To Call: $20 Notes: We are last to act with the nut flush draw. 2. BTN bets $6 BB raises to $12. If you are heads-up with $180 in the pot and your chance of winning the hand is 50%, your 'equity' in the hand at that moment is $90. Example #1. For example suppose the pot has size 600, and I have to call 200 to stay in the game. If the pot currently has $100 in it and you need to bet $50 to call, then your pot odds would be 2:1. There are 169 nonequivalent starting hands in Hold'em (13 pocket pairs, 13 × 12/2 = 78 suited hands and 78 unsuited hands; 13+78+78 = 169). Poker equity example. For example, if pot is $20 and the effective stack size is $80, the SPR is 4. Two Overcards against a lower pair (AK vs 55): 45%. For instance, if the pot odds are 3:1 (a $200 pot size and a $100 bet) you stand to win a total of. For another take on explaining pot odds, try this pot odds guide from FirstTimePokerPlayer. SPOC is a free Simple Pot Odds Calculator from ThePokerBank. Scenario 3 – The 16-Out Nut Wrap. The odds of an event occurring are equal to the ratio of favorable outcomes to unfavorable outcomes. Calculating Pot Odds. You are playing against one opponent who bets ($10) in a pot of ($20). The pot odds for this particular hand is $100:$50, or 2:1. So far, so good. Implied odds examples. 25 bet creating a total pot size of $1 = 1:0. Determine the Total Pot size Before your Action: For example, facing a bet of $50 into a Pot of $100 will make the Total Pot size $150. A pot size raise in this example would therefore be: 3 * Player 2's raise: $45 ($3 * $15) + Pot size before Player 2's raise (including Player 1's bet): + $20 = $65Pot odds tell you what percentage of the pot you need to win in order to justify calling a bet. com. 5:1;. Ok so lets say the original pot is $10. 25 which equals to 25% pot odds. Pot Odds > The Rule of 4 and 2: Glass Odds Examples. Based on the chance of hitting the flush on the next two cards, I should call, as I have a positive probability of winning in the long run, but based just on the next card I should not call. Work out pot odds; 2. If the size of the call relative to the total pot is 25%, you need greater than 25% equity to make the call. Your opponent is unaware of your blockers, so they miscalculate pot odds, which are now lower. 25. Now we've got our pot odds, let's look at what we need to do to convert pot odds into a percentage. Once you figure out the pot odds, you need to decide how. , There's $100 in the pot, your opponent bets $100. For example: if you bet 75% of the pot on the river, the pot odds that Villain is getting on a call is 30%. Let's say our opponent is betting 2$ into 6$ pot so our pot odds equal 4:1. Betting $10 with 3-1 odds will give you a $30 profit plus your $10 back. A recent example: $0. Example: Pot odds of 3:1In order for you to win that $200 pot you have to call $150. The stack to pot ratio is: 6. Flush draw: 9 outs * 2 = 18%. Draw odds - pot odds = 2. By calculating the pot odds, you can figure out whether you're getting the right price to call Example: You have J ♥ 10 ♥ on a flop of K ♠ 6 ♥ 3 ♥ and now have hopes of hitting your flush. Board – Jd 8d 2c. A classic example of considering implied odds is calling preflop with a low pair in hopes of hitting a set. Determine if we can profitably call. 5 Click to reveal answer. So to save you a tremendous amount of time, I put together this pack. You can also see other preflop odds. Note that the call size is only $2 because you already have. Find the odds in favor of "drawing a red eight. The relationship between pot odds and odds of winning is one of the most important concepts in poker strategy. You’re dealt KQ of Hearts. The geometric size here is 252% pot. I get K♠ Q♠. The formula for calculating a raise in pot% is as follows: 1) Calculate the total pot as if you had called 2) Multiply by raise % 3) Add the amount of the call So for example, villain bets 33% (2bb) into a 6bb pot. Let's dig into an example to unravel this code: Imagine the starting pot holds a tempting $10, and one of your opponents decides to spice things up by throwing in a $5 bet—half the pot. Pot odds example. The greater the pot odds the more liberally you should call. The inviolate laws of probability favor you. Divide the current pot by the amount you need to call to calculate pot odds. 00 on PokerStars, $100 Effective StacksTop 5 Most Common Poker Tells. For example, let's say your opponent bets $10 into a $20 pot. You flat on the button with 6s5s, and the big blind comes along as well. A common scenario where you'll win slightly more than 17% of the time is when you have a flush draw. Player 1 wins. Effective Odds • More than one card to come Example: In hold’em, you have four-flush after the flop. Let’s confirm. Your opponent is currently ahead with a pair of fives. The pot odds in this example are just over 3-to-1, so you are not getting the right price to call based only on pot odds. While typical poker games award the pot to the highest hand as per the standard ranking of poker hands, there are variations where the best hand, and thus the hand awarded the pot, is the lowest-ranked hand instead. You have a hand of Q-J. Example 2. In poker, when the pot odds (reward) are higher than the card odds against you (risk), you have a positive expectation that you will gain chips by playing that hand. The left side of this inequality is the "pot odds", and you can see that the calculation uses the "current pot", i. Example 1. 3333 = 33. 5. 5. Poker contains a lot of repetitive math, especially when studying poker hands away from the table. The pot is $12 and you bet $10. We are playing $100NL against a useless short stack player. Odds to win the draw: 4. Your Opponent’s Raising Range. Once you are able to accurately calculate your outs you will be able to correctly determine the pot odds you require to continue with a hand. In this section, simple and straightforward. A simple example is to look at a pot with $100 in it. Buckle up — this gets a bit complicated. The practical application of this is that you want to call when your odds of winning is greater than the pot odds. Pot odds refers to the relationship between the size of the pot and the size of the bet. As a percentage, pot odds still express the inverse of the multiplier format, written as percentage and not as a fraction. So our required implied odds ratio is 2. For example, if you are dealt Ace, King of Hearts and the Flop comes down Ten, Jack of Hearts and Four of. For example: a J7 hand would be pretty crap on a table with 10 players as there's a high probability that at least 1 other player has an equal or higher hand (it's an. Scenario 5 – The “Maine To Spain” 20-Out Non-Nut Wrap. On every other betting round, pot odds will help you decide whether or not to make a call, and your equity estimations could become even easier. We are facing a $60 bet into an $80 pot. In your example, this is $150/$50 = 3. VPIP stands for Voluntarily Put $ In Pot. We’ll calculate the OR for one risk factor, but they assessed multiple possibilities in their study. By betting $30, the pot will be $80 and Player A will be getting $30 for a pot of $110. Preflop Mistake #1: Limping. For example of the pot odds you are getting are 2:1 you need a greater than 33% chance of winning the pot to make a profitable call. That 3:1 number is equal to approximately 25%. On the other hand, stronger double backdoor hands — ones with an overcard to middle pair, like Q♣ 8♣ — are reasonable hands with which to call in the K ♦ T♣ 6 ♦ example above. You are drawing for a flush. Hero should call any hand that wins more than ¼ of the time at showdown. They represent the relationship between the possible profit and the bet which has to be paid and are therefore an expression of the benefit. RR or Fold against 1 Player, Call 3. Another mathematical Texas Holdem strategy based on probabilities and expected value is by using implied odds. Pot Odds Examples. For example, a hotkey that bets half the pot is permitted. 9% of adults had HIV. Example 2. What are Pot Odds? The first of the two concepts, pot odds, is simply the ratio of the amount of money currently in the pot to the amount of money you must pay in order to make a call. 71% equity. 22:1. Your hand: K7. 1. Betting $100 on the river is going to raise many more eyebrows if the pot size is $20 versus $150. Figuring pot odds (the pot is all the money that has been bet for a single game) is one of the most misunderstood and misused concepts for beginning poker players. 9% is almost equal to 1/25, we can report the example above as follows: In 2018, in the WHO African region, 1 in every 25 adults had HIV. De nition 2. You can call this bet every day and expect to profit over the long term. Unprofitable Pot Odds. DEFINITION / EXAMPLE. Raise 3 or 4 times the size of the big blind + 1 for each limper before the flop. 2:1; Pot odds: 2:1; Draw odds – pot odds = 2. For example, being dealt an A-A-K-K double suited is 50,000-1 (against). These are the steps to calculate the Pot Odds the old fashioned way:. Pot Odds Examples. Poker, simplified, is two things: Putting your money. Tools and services that simply report basic game state information, such as pot odds or absolute hand strength. This ratio means that you’re ‘getting 4:1 on your money. Here is a table of common. Pot Odds are the odds that you get from the money that is in the pot right now, based on how much you must pay to call. You would have 9 outs. P(flop 4 of a kind). 5 to 1. We refer to a made hand as a poker hand that is already guaranteed given a player’s hole cards and currently revealed community cards. Let's say our opponent is betting 2$ into 6$ pot so our pot odds equal 4:1. After a while things will start to ‘click’, and you understanding of pot odds and expected value will become a lot easier. e. Step 2: Divide the size of the call by the size of the final pot. The effective stack is 40BB, as I can only win what the big blind has remaining. If I call my share at the pot is 25%, or my pot odds are 3:1. chips that you could win on future streets. This book introduces you to the Fundamental Theorem of Poker, its implications, and how it should affect your play. The pot size is 6. Mega Moolah is often referred to as the “Million Maker”. If you’re playing in a live game or on a site that doesn’t show the active pot amount you’ll need to include all money that has been bet instead of just the money. Let me explain a bit further. You will need to multiply this final number by 100 to get a percentage, in this case, 25%. Example #2. Poker GTO Examples: Postflop Pot Odds. Your opponent bets another 50, so there is now 100 in the pot. 3%. The more tickets someone buys, the higher their odds are of winning. Pot odds Pot odds show the relationship between the potential profit and the bet you have to make. Be careful, though. To find the percentage, take the amount you need to risk (1) and divide it by the total size of the pot including the amount you need to call (3+1=4). You compute and compare these two numbers to determine whether a call is correct. Poker Pot Odds Example Using the Percentage Method Alert! This can be a bit mathematical but an easy hack to learn the odds quickly is available right after the. The pot odds are 150:50, which divides down to 3:1, as 150 divided by 50 is three. For example, if your opponent could have either a straight draw or a set, which of the two is more likely? Poker combinatorics example hand. Therefore, your pot odds are 2:1 (two-to-one). This means you have to call 500 to win 2000 chips pot (initial 1000, 500 that your opponent is betting and 500 which you call). Before playing a hand in Texas Hold'em you should always be aware of your position relative to the dealer button. You need to win the pot. If there’s a 3flush on board, for example, and you hold the Ace to that suit, betting or raising as an overbet with select AXo. Example #2: There are. If we have less than 25% equity it’s an outright –EV call. Hero is on the BTN. 6-Handed. odd = (100 - %) / %. If the odds are less than the pot odds ratio/percentage, there is a. One last thing that I want to say here is that you should memorize some of these breakeven percentages. 5% is greater than our 31. Compared to the previous example there is $10 more in the pot. Using the formula, the required equity to call is $10 / ($20 + $10 + $10) = 25%. ♠♣♥♦At what size bet does hand odds equal pot odd (44 - 14) / 14 = (bet + pot) / bet 44/14 - 1 = 1 + pot/bet 44/14 - 2 = pot/bet bet = pot / (44/14 - 2) = pot * 0. This, however, is usually not the case in a regular. 6%. 500 (the amount you need to call / 1000 (the current size of the pot) + 500 (the amount you need to call) x 100%Business, Economics, and Finance. Limit, specifically dealing with pot odds for a flush. 4. The person to my right raises to $0. If we look at the odds of throwing heads with a coin it will be 1:1. Whether you are playing 1 cent/2 cent online or $10/$20 live, the breakeven percentage. First of all, it is necessary to calculate our probabilities of improving our hand. When the pot odds are bad, squeeze a greater proportion of your range. Then you are getting pot odds of 5-1. 5BB. So leave multi-tabling for the future, stick with one table, and try to absorb all the information you can get. Pot odds are the ratio of the amount of money in the pot compared to the amount of money you need to call a bet. On the other hand, there is no parallel schooling phenomenon in Omaha where very often five players draw stone cold dead while two players have all the outs between them (for example, on the turn the nut flush and the. You are playing a $55 online tournament. Calculating Pot Odds. 5 times. 7 %For example, the pot is $100, and your opponent bets $50. The odds against a royal flush, for example, are nearly 31,000-to-1, making it the rarest and strongest hand in poker. De nition 2. You are betting last of the six players in the pot for $1 each to see the flop. 15-to-5 = 3-to-1 pot odds Required equity % is a risk reward calculation that assumes you will realise your equity. How pot odds work in poker. By Greg Wire. 2. For example, if the starting pot is $10 and a player bets $5—half the pot—then the pot size is now $15 and a player is facing a. This is the key part, so pay attention! This means we need 25% equity, or chance of winning the pot, to breakeven. But, if you expect your opponent to call a bet or raise on the river if you make your hand, your implied odds are 6-1 or 7-1. To call a bet here we’d need the pot to be a little bigger or our opponents bet to be a little lower. Unprofitable Pot Odds. For example, there is $50 in the pot on the river, and your opponent bets another $25. What are pot odds? Pot odds equals with the ratio between the size of the pot and the size of the bet against you. Let’s reconsider the first hand example and calculate our pot odds on the river: In example 4, the pot odds are 5:1 and the chance of completing his hand are 4. In this example, I was drawing to a nut flush (9 outs) and a gutshot straight draw – Queen (4 outs) giving me a total of 13 outs times 4 for both turn/river and I have 52% chance of hitting and very likely winning the pot. 7% in percentage terms. There was a slot machine in Las Vegas that didn’t hit for over 20 years. Turn: 4. In poker games, pot odds are the ratio of the current size of the pot to the cost of the contemplated call. This give you the pot odds of 100-to-50, or 2-to-1. 22:1. For example, if you expect to win 40% of the time and lose 60%, then that gives a ratio of 60:40. Pot Odds: Pot odds determine whether a call is profitable in the long run. You have a hand of Q-J. In Pot-Limit check-raising is a more commonly used play. As you can see, the GTO strategy here is to bet geometrically or not at all. To have good enough pot odds, generally you need to have better pot. What to do with pot odds. PLO is a complex game that requires a deep understanding of board textures, pot odds. Three players are now in the pot having contributed $3 each, for $9 "live" money; the remaining $5 (representing the antes of the players who folded) is dead money. 50/$1. SPR in poker means “stack-to-pot ratio” and relates the effective (smallest) stack size in play to the size of the pot to help determine your risk in a hand. Preflop Starting Hands Based on Flop SPR Considerations. Scenario 4 – The 17-Out Non-Nut Wrap. By Gragg Runner. For example, if you have to call $100 and the total pot is $400 ($200 current pot + $100 opponent bet + $100 call), you divide 100 by 400, which gives you 0. For example, if there is $80 in the pot and your opponent bets $20, that makes a total of $100 in the middle. For example, if you are dealt 5♦ 6♦, and the board reads T♦ K♣ 2♦, any diamond-suited card drawn from the deck will complete a flush. 5 To Call: $1. 33%. Pot. 6. Versus a typical 35% stealing range. 9% equity. We refer to a made hand as a poker hand that is already guaranteed given a player’s hole cards and currently revealed community cards. Knowledge about probabilities will help you to better evaluate situations in poker. For example; pot is 15 + players bet of 10 + your call of 10 = 35/ original bet 10 =3. Pot odds show you how much equity you require to continue correctly when facing a bet or raise, and implied odds are the next consideration if your pot odds. Since the pot odds (40%) are lower than your odds of making a hand (54%), this is a profitable call. For example: If there's $10 in the pot and you have to call a $2 bet. As you can see on the diagram, the table with the highest average pot is Cassiopea, and the table with the highest number of players per flop is Athor IV. This means you have to call 500 to win 2000 chips pot (initial 1000, 500 that your opponent is betting and 500 which you call). For example, if we are on the flop with a flush draw and our opponents bet $40 making the pot $120, we are getting 3:1 odds from the pot. 8 to 1 = Call?? 2011년 3월 12일 토요일Like implied odds, reverse implied odds are an extension of the concept of pot odds. Curricula. Example: You – As Kh. They were originally posted on his Higher Level Poker training site for small/micro stakes players. And that hand is just a 3:2 favorite to win against 8-7-6-5 double suited. Your pot odds are then the amount in the pot ($60) to the amount you have to call ($40), so you're getting 60:40, or 3:2 pot odds. If your pot odds are 2:1, the percentage would be 1 divided by 2+1, or 1/3 giving you 33% pot odds. So for example, if you have a flush draw on the turn, the percentage chance of completing your draw is 19. The only difference is the need for redraw possibilities. To make a decision based on these figures, compare your hand odds with your pot odds. Here is the formula for calculating pot odds: (bet size) / (pot size + bet size + call size) Multiply by 100 to express the result as a percentage. If I call my share at the pot is 25%, or my pot odds are 3:1. Pot odds mean the ratio between the size of the pot and the bet or raise you’re facing. 6% (let's call it 20%). 50 plus the original $10. Example 5: If there is $400 in the pot and player we bet $300 (75% of the pot), the pot will grow to $700. Pot odds are the ratio of the amount of money in the pot to the amount of money it costs to call a bet. How to Calculate Pot Odds. Markov and Chebyshev inequalities. MAKE: 0. An 11-out hand has a 23. There are two red eights in the deck -- which means there are (52-2=50) cards that are not red eights. Unprofitable Pot Odds. Let’s assume you’re dealt A♠K♠J ♦ 6♣. 5-to-$1. if you are using the ratio method, you do not include your call in the pot odds. The following examples will illustrate pot odds. I have 97BB in my stack, the big blind has 40BB in theirs. Memorize some of the common draws, such as knowing that. While you can use software to do a lot of this math, sometimes a good ‘ol fashioned spreadsheet is the best way to visualize and play with the numbers. In fact ace-ace-ten-jack double suited is the third-best Omaha Hi starting hand possible. See moreExample 1. Poker Pot Odds Example: Let’s say you are holding the nut flush draw on the flop, the pot is $500, and your opponent goes all in for an additional $500. 92% equity, and villain has 53. For example, on a flop like A. 5. Pot Odds. Pot odds refers to the relationship between the size of the pot and the size of the bet. One of the easiest examples to diagnose is chasing a flush. 36 (-275); your estimated win probability is 73. A good example of unprofitable pot odds is as follows. For your call to be profitable you need to. You get $22 when you multiply the 2. If we have less than 25% equity it’s an outright –EV call. Let's say that we have a flush draw and our opponent bets $10 in to a $10 pot, which means we have to call $10 to win a $20 pot. Since the pot odds (40%) are lower than your odds of making a hand (54%), this is a profitable call. So, carrying on from the basics described include my first article on corporation odds, here are a bunch of see for you to get will teeth in to. Let me explain a bit further. The odds against the event with probability given as p are . So if the pot were $10, a $7 bet would be an appropriate amount for a respectable continuation bet. We will use a minimum bet of $1 and a maximum bet of $2 Hold'em for simplicity. Raise 1, Call 2. The expected value of the call with a drawing hand where no future actions are possible is determined by the relation of drawing odds to pot. For…But in the Article Pot Odds and Expected Value they give two examples: Example with the nut flush draw: You have the nut flush draw (nine outs) on the flop and the pot is $4. The nCr function on most scientific calculators can be used to. . Pot Odds added together means replace the “to” with a plus sign eg: 3 to 1 becomes 3+1 = 4. There is now $5 in the pot ($4 + $1), and it is $1 to call. So our required implied odds ratio is 2. 2:1. If you are getting Pot Odds > Hand Odds then call Reward > Risk . 100% mathematically correct after you see 3 additional cards on the flop, but its definitely good enough to calculate pot odds and have a good idea of. I willingness. To get pot odds, divide the pot by the amount of your bet. Pot Odds De nition 2. Here you are risking $400 to win $600 ($200 pot. By calculating the pot odds, you can figure out whether you're getting the right price to call Example: You have J ♥ 10 ♥ on a flop of K ♠ 6 ♥ 3 ♥ and now have hopes of hitting your flush. Let’s take an example to illustrate this. A good example of unprofitable pot odds is as follows. In this example the pot odds and pot chances come into play. Pot Odds > The Rule of 4 and 2: Pot Odds View. For example, if you have 4 cards to a flush, then you will have 9 “outs” to hit your flush, as there are 13 cards of each suit in a standard deck of 52 playing cards. Pot Odds Basics; 5 10 Hold'em Tips: Bluff Catching;Overbets (>100% of the pot) Have a Nut Advantage: Larger, pot-sized bets and overbets should be used in ultra-polarised situations where you either have a nut advantage and/or block your opponent from having the nuts. You can’t win the pot pre-flop by open limping. Let’s start by understanding what. Understanding and applying principles of pot odds (and equity) can certainly help you out with that. 3. SD and variance. In other words, you expect to win more money in the long run by calling in this situation than by folding. Let us take our example again and again. For example, pocket fours and lower should only play in late position if you are the first to bet. 5BB. The two concepts are used to different ends. Versus a maniac who seems to barrel off every hand or a 4-bet pot. In this sense, pot odds are related to the frequency at which you bluff when you make a bet. , without your call factored in. This means the pot odds are not going to provide me with the right amount to call. The board reads A-8-2-J with 2 hearts. 3). As per the rule, if a player has two cards coming, then the odd can be calculated by multiplying the outs by four. For Greg Walker. Chances of making your straight by the river: 4 * 4 = 16%. Keep in mind that the size of the total pot includes the bet(s) made in the current round. This will help you determine the frequency you should bluff. Let's dig into an example to unravel this code: Imagine the starting pot holds a tempting $10, and one of your opponents decides to spice things up by throwing in a $5 bet—half the pot. Since the pot odds (40%) are lower than your odds of making a hand (54%), this is a profitable call. In Example 1, we ended with a 1 in 5 chance of hitting an out. One example is, figuring out if you are getting the right price on future calls and if your play is +Expected Value or -Expected Value. Here we will look at some common Pot Limit Omaha scenarios, and calculate our number of outs. An example of a probability in poker would be determining the odds of drawing a flush from a four-card flush draw on the flop. Making plus EV moves is crucial, and pot odds can help players to do so more frequently. Pot odds = $150 / $50 = 3 to 1. If that particular hand (out) is drawn from the deck, you will have the best poker hand to win the pot. As for calculating your odds…. Examples of decision making based on hand odds and pot odds. If we run these hands through an odds calculator it tells us that we have a 65% chance of winning the hand, assuming that By comparing pot odds to the odds of winning the hand, you gain valuable insights into whether calling, raising, or folding is the most strategic move. 3. So even having 34% equity in that case is profitable. However, in a casino tournament it is not always possible to use such software. If the bet is not all-in & another betting round is still to come, need P(win) > wager ÷(wager + winnings),The values given for Probability, Cumulative probability, and Odds are rounded off for simplicity; the Distinct hands and Frequency values are exact.