14 Jul 2025 Intermediate This material is for medium-skilled players A-game bluff pot odds probabilities value bet In today's episode, Coach Weasel takes a sledgehammer to one of poker's most stubborn traditions: using ratios in your poker math. If you've ever caught yourself converting pot odds from a ratio to a percentage just to compare it to your equity, or skipped an implied odds calculation mid-hand because it felt like too much work, this episode is tailor-made for you. We break down how players are making simple calculations harder than they need to be — from pot odds to implied odds to bluff-to-value ratios. You'll learn how to streamline your thinking, eliminate unnecessary steps, and ultimately make sharper in-game decisions. If you've ever second-guessed the math behind a call or felt like poker math was harder than it had to be, this episode is for you. By the end, you'll not only understand the logic of percentage-based thinking, but you'll wonder why you ever did it any other way. Introduction: Bad Poker Math If you’ve ever struggled with poker math mid-hand — fumbling with ratios, converting to percentages, and second-guessing your decisions — this episode is going to feel like a breath of fresh air. In “Bad Poker Math”, Coach Weasel breaks down one of the most common sources of confusion at the tables: relying on outdated ratio-based math. Whether it's calculating pot odds, implied odds, or bluff-to-value frequencies, traditional approaches often overcomplicate simple decisions and slow you down when it matters most. This episode lays out a smoother path: think in percentages, eliminate conversions, and streamline your thought process with easy-to-remember math shortcuts. You'll learn not only how to make sharper calls and folds faster, but also why simplifying doesn’t mean dumbing down — it means cutting through tradition to get to the core of better poker decisions. Why Traditional Poker Math Is Broken Poker players have a tendency to use math in a way that is suboptimal, and part of the reason why they do it is simply based on something that's nothing more interesting than tradition itself. We're going to think about the ways that poker players use math suboptimally in the following areas: pot odds, implied odds, and bluff-to-value ratios. Certainly, with those first two — pot odds and implied odds — they are part of the core syllabus for any poker player. These are concepts that we visit on day one of being a poker player. How do pot odds work? How do implied odds work? And yet, the way that it's taught is not streamlined. It doesn't necessarily make sense. Let me give you an example, starting with pot odds. Traditionally, pot odds are calculated as a ratio. For example, if my opponent bets pot size, a traditional poker player will tell me that I'm getting two to one on the call. This is an example of a ratio. If I invest $100, and there's already $200 in the pot, that's a two to one ratio. Now, how do we know if that particular ratio, or those odds, are acceptable for us? Well, we need to think about how much pot equity we have and compare that pot equity to the odds that we get on the call. Here's the interesting thing, though: equity is calculated as a percentage. Why is it calculated as a percentage? After all, we could calculate equity as a ratio. We could calculate equity as a fraction. But for whatever reason, it's calculated as a percentage. Why? That's just traditionally how it's done. There's no specific reason for this. So odds are calculated as a ratio because it's traditional, and equity is calculated as a percentage because it's traditional. We then have to compare the ratio in terms of our odds to our percentage that represents our equity. Well, we can't compare ratios and percentages directly. There has to be a conversion step. Also Read: How to Easily Calculate Implied Odds in Poker The Problem with Ratios vs. Percentages So the next part of the process in determining whether we have a call is to convert our ratio to a percentage. But here's the logical question: why are we calculating our odds as a ratio to begin with, knowing that we ultimately need it as a percentage? What's stopping us from just calculating our pot odds as a percentage, which we can then directly compare to our pot equity, which is also a percentage? And the answer is — nothing. Calculating first as a ratio just so we can convert it is an example of bad math. It's suboptimal. The only reason why we're told to do things this way is because, traditionally, poker players think about odds as a ratio. And it's true. If you go to the bookie to bet on sports, for example, we're often given odds in terms of a ratio. We might be told we're getting two to one odds or three to one odds. So it's a tradition that's borrowed from ventures outside of poker, but it doesn't necessarily serve our interests here. What is the logical thing to do here? Simply always think about pot odds as a percentage, which allows us to directly compare to our equity. The basic idea here is that if our equity as a percentage is higher than our odds as a percentage, then we have a profitable call. Let's think about a very simple example of this just to help make the distinction. If we're very used to calculating odds as a ratio, it can be a little bit tricky initially to make the jump, but it's not too complex. That's why we're going to look at an example. Imagine there's a hundred dollars in the pot on the turn, and our opponent bets fifty dollars. First question: what are our pot odds expressed as a percentage? We need two values for this. We need our investment amount — which is going to be fifty dollars in this case — and we need the size of the total pot. The Simple Fix: Always Use Percentages Now, the difference: if we're calculating a ratio, we simply look at what's in the middle before we make our call. So in this case, there's a hundred in the pot, our opponent bets fifty, and our pot size is going to be a hundred and fifty. The trick with using the percentage calculation is we project forward slightly and assume that our call is already in the pot as well. There's a hundred in the middle, our opponent bets fifty, we call fifty — so now the size of the pot is two hundred, including our call. Of that total two hundred dollar pot, we have invested fifty dollars on the current street. So for the percentage method, we're thinking: fifty out of two hundred — which is 25% of the total pot represented by our investment. Whereas if we're using the traditional ratio method, we're thinking fifty into a hundred and fifty, which works out to three to one. So if we were ever converting a ratio to a percentage, then the ratio three to one is equivalent to twenty-five percent. As we've seen, we can just ignore ratios completely. There's a hundred and fifty in the middle; if we make our call, it'll be two hundred in the middle, of which we're investing fifty. That's twenty-five percent. Next step is to make an estimate regarding our pot equity. If it's higher than twenty-five percent, we have a profitable continue. Now let's stick with the same example a little bit longer. We know that our opponent is betting fifty dollars into a hundred dollar pot. Think about this question: what is our opponent's breakeven threshold on a bluff? Now, one of the nice aspects of using the percentage method is we can use the exact same method to calculate our opponent's breakeven threshold on a bluff. You see, even players who traditionally use the ratio method for a pot odds calculation have a tendency to then run a percentage calculation for breakeven thresholds on a bluff. That's mind-blowing to me. This is the exact same poker math here. Why would we use a percentage method for one situation, but a ratio method for another situation? This is absolutely suboptimal. It's not streamlined. What is villain's breakeven threshold on a bluff? Well, there's a hundred in the pot on the turn. Villain bets fifty dollars. Remember, we said that for using the percentage calculation, we assume that the player's investment is now part of the pot as well. So there was a hundred in the pot on the turn. Now villain has bet fifty dollars, so there's now a hundred and fifty dollars in the pot on the turn, of which villain is betting fifty dollars. That works out to thirty-three percent of the total pot. Related Article: What Is the Optimal Bluff-to-Value Ratio in Poker Consistency in Using Ratios or Percentages Now, as we've mentioned, there's nothing stopping us from using a ratio calculation for figuring out a breakeven threshold on a bluff. Remember, the key difference is that we just don't include a player's bet as part of the pot. So when a player bets fifty dollars into a hundred dollar pot, well, now he's investing on a two-to-one ratio. There's a hundred in the pot which he can win, and he's investing fifty dollars. If you really love ratios for whatever reason, you could express your opponent's breakeven threshold as a ratio. The key idea here is that it makes sense to be consistent. If you're going to use ratios, use ratios for everything. Or if you're going to use percentages, use percentages for everything. We don't want to be using ratios for some things, percentages for others, then having that unnecessary conversion step in the middle. So when our opponent bets fifty dollars into a hundred dollar pot, his breakeven threshold is thirty-three point three three percent, because he's investing fifty into a total pot of a hundred and fifty, whereas our pot odds are twenty-five percent, because assuming we called, we would be investing fifty dollars into a two hundred dollar pot. We've streamlined the process here. We've cut out ratios entirely. We're now performing much more optimal, streamlined math. Rethinking Implied Odds Let's now think about implied odds. Like pot odds, we likely learn implied odds on day one. Every poker player is familiar with how to run an implied odds calculation. Ironically, it's one of those aspects of strategy that many players just never use again after day one. They kind of understand how to run an implied odds calculation in theory, but it's slightly too complex to actually be worthwhile for them to try and run it mid-hand. So even though they may make an attempt at thinking about implied odds, there are many players — professional players even — who actually don't run any kind of implied odds calculation. In some ways, it's understandable because the way that implied odds is taught is not streamlined at all. This is another example of bad math. Why can we say that? When we think about the total required pot, we can refer to this as the implied pot — in other words, how big would the pot need to be to justify our current call? We know that when we talk about implied odds, it means we don't have the direct pot odds — the pot isn't quite big enough currently. So, how big would the pot need to be? We can think of this as the implied pot or the required pot. We can think about the implied pot or required pot as a multiple of our call amount, and this multiple is a static value every single time depending on the type of hand we have. For example, we have a set multiple when holding a flush draw, another set multiple when holding a gutshot straight draw. It’s a fixed value that we can memorize. But players often recalculate this static multiple every single time. They're adding unnecessary layers to the process, making implied odds calculations feel too complicated for the average player mid-hand. Now, it’s true that we can only simplify this to some degree. However, after a great deal of thought on this topic, I’ve been using the following method for streamlining implied odds calculations for quite a few years, and I don’t think we can simplify it much further than this. Still, it’s probably quite a bit simpler than the method you’ve already been taught. Streamlining Implied Odds Calculations The best way to understand this is with a simple example. Imagine we have the nut flush draw on the turn — meaning nine outs to make the nuts. Let’s say there’s $100 in the pot on the turn, using the same numbers as before, and our opponent bets $50 into the $100 pot. If you’re good at equity and odds calculations, you’ll know straight away that we don’t get the right price on the call. That’s because we’re being offered 25% pot odds expressed as a percentage. We have nine outs, and typically poker players use the “two times and four times” rule to estimate their equity on the fly. Nine outs from turn to river means roughly 18% pot equity (9 outs × 2). So, we have 18% pot equity, but we need 25% equity according to the price we’re being offered on the half-pot bet on the turn. Now, just because we don’t get the direct pot odds on the call doesn’t mean we can’t call profitably. Perhaps there are some chips we can win on the river, assuming we make our nut flush. It really comes down to one question: How much do we need to make on the river to justify the turn call? Here’s how many players might approach this mentally, mid-hand: They observe they have nine outs, which represents about 18% equity going from turn to river. This means that to justify the $50 call, that $50 investment cannot be worth more than 18% of the total implied pot. If it is worth more than 18% of the total implied pot, the call will be losing in the long run. Let’s calculate the total implied pot if the $50 call is exactly 18% of it: To get from 18% to 100%, divide 100 by 18, which equals approximately 5.55. For simplicity, we round 5.55 up to 6. Multiply this multiple by our $50 investment, which gives us $300 as the total implied pot size. This means the pot would need to be $300 in total to justify a direct pot odds call on the turn. Obviously, the actual pot is not that big — it’s only $200 after our call. Here’s the gap: The actual pot after calling on the turn is $200. The total implied pot needed to break even with implied odds is $300. The difference of $100 is the amount we need to make on the river, on average, to justify calling on the turn. Now, that’s quite a lot of work for a calculation mid-hand, and it might not be very approachable in real-time. I wouldn’t want to do all of that math mid-hand. Honestly, it’s another example of bad math because it’s just not streamlined enough. Half of the math we did was completely unnecessary. For example, we know we have nine outs. Nine outs always equals 18% equity — no need to recalculate that every time. Running that math mid-hand is a waste of time. Next, we had to figure out the multiplier to determine how big the implied pot needs to be if our $50 call is worth 18% of it. Sometimes that multiplier is obvious — like if $50 represents 25% of the pot, we multiply by 4. But when the call amount is worth 18%, it’s not obvious what the multiplier should be without doing division. To get the multiplier, we divide 100 by our equity percentage — in this case, 100 divided by 18 gives us 5.55. All of that is true, but the key is to memorize the multiplier for common equity percentages. For nine outs (18%), the multiplier is 5.55, or rounded up to 6 for a conservative estimate. So mid-hand, it should go like this: We see we have nine outs. We know the multiplier is 6. Multiply our call amount ($50) by 6, which gives us $300. Compare that to the actual pot ($200). The difference ($100) is the amount we need to make on the river to justify the call. This is streamlined math — quick, efficient, and practical for use during play. Memorizing Multipliers for Common Draws How did we streamline the math? By putting in a little work pre-hand to memorize some essential values — these are your implied odds shortcuts. In theory, you could memorize a multiplier for every possible number of outs: 4 outs → multiplier 12 6 outs → multiplier 8 8 outs → multiplier 6 But that’s probably overkill, especially since the draws where implied odds really matter tend to fall into a few common categories — and most importantly, draws to the nuts. What draws are these? Nut gut shot (4 outs): Multiply call amount by 12. Nut open-ended straight draw (OESD, 8 outs): Multiply by 6. Nut flush draw (9 outs): Usually multiply by 6, because sometimes you effectively have only 8 outs if one card pairs the board. So, for nut OESD and nut flush draws, use the multiplier 6. There are also two less common combo draws to be aware of: Flush draw + gut shot (12 outs): Multiplier 4. Nut flush draw + OESD (15 outs): Multiplier 3. But these big combo draws are rare, so the two key multipliers to focus on are 6 and 12. Quick rule of thumb: Gut shot? Multiply call amount by 12. OESD or flush draw? Multiply call amount by 6. This small memorization helps you calculate implied odds quickly and efficiently during play. We've generated the required pot or the total implied pot in a matter of seconds there without all of that unnecessary initial math to begin with. Okay, let's now talk about bluff to value ratios. This is a little bit more of an advanced concept. And once again, it's something that's traditionally defined using ratios. In fact, it's in the name, right? It's called bluff to value ratios. A little bit weird thinking about a bluff to value ratio as a percentage because it's called a bluff to value ratio. But one of the key takeaways from this podcast episode is that we can pretty much say no to ratios at every point of any calculation in poker. In fact, I'll probably get that printed on a t-shirt — say no to ratios. So we traditionally think of bluffs and value hands, the proportion in terms of the number of bluffs for each value hand; we think about that as being a ratio traditionally. But then when we're figuring out whether we should call against a certain bluff to value ratio, we think about the price we get expressed as a percentage. Now it could be that if you're still following traditional methods, you might be thinking about your pot odds as a ratio. And then I guess it kind of fits in this situation because if you're thinking about your pot odds as a ratio and you're thinking about your opponent's bluffing tendencies as a ratio, we can compare those directly. The only thing is if we're still using percentages in other calculations, we're thinking about things like breakeven thresholds using percentages, for example, or we're thinking about equity in percentages, then it still doesn't make sense because it means we're using ratios for some calculations and percentages for other calculations. This is another example of a situation where we can think about everything in terms of percentages. In fact, every calculation we ever make at the poker tables can be based on percentages rather than ratios. Bluff-to-Value Ratios Made Easy So let's think about how this might work for bluff to value ratio. Going to think about another example, again, very simple numbers here. Let's imagine our opponent bets $50 into a $100 pot on the river this time. The first question, how often do we need to be good in order to call? That's going to be a simple pot odds question. The next question is, how often is Valens supposed to be bluffing in theory? And the final question here is, what is our minimum defense frequency? How often are we supposed to be defending using a fairly naive MDF calculation? I call it naive because it doesn't necessarily hold true in every situation, but can sometimes be useful as a basic level calculation. So our first question, how often do we need to be good in order to call? Well, we already understand how to run a pot odds calculation using the percentage method. We would be investing $50 into a total pot of $200. That means we get 25% pot odds. Now the interesting correlation here is that our pot odds value is also Valens theoretically correct bluffing frequency. It's funny how all of the math starts to tie together when you're using a simplified approach. So not only do we get 25% pot odds on a call, but we also know that our opponent is supposed to be bluffing 25% of the time. So he should have 25% bluffs when he bets 75% value hands. Now we might miss that fact if we were referring to Valens bluff to value ratio as 3 to 1, but now everything's a percentage. 25% pot odds, that's also Valens correct bluffing frequency when firing the river. The next question, what is our MDF? Now the reason why I'm asking this question is just so you can see how the math also links together in a secondary as well. There's a link between our minimum defense frequency and the autoprofit threshold on our opponent's bet. So let's start with our opponent's autoprofit threshold. He's betting $50 into a $150 pot, including his investment. The breakeven threshold on a bluff for villain is 33.33%. Guess what? That's also our minimum defense frequency, 33.33%. And just to be clear here, when we say it's the minimum defense frequency, what we really mean is that this is the correct folding frequency when facing this bet, 33.33. So it might be more correct to say that the actual minimum defense frequency is 100 minus 33.33, which would be 66.66, etc. So in summary here, the two areas. Area number one, our pot odds establishes villain’s bluffing frequency. In other words, we get 25% pot odds in this scenario. That's also the theoretically correct bluffing frequency for our opponent. Second area, villain’s autoprofit threshold establishes our MDF. So when we look at the breakeven threshold and our opponent's bluff, he's investing 33% of the total pot. That's his autoprofit threshold. That's also our MDF, minimum defense frequency. We don't want our opponent's bluff to succeed more often than that. Key Takeaways & How to Train Your Poker Math Okay, so in summary, don't do bad math. We don't really need to use ratios at any point. Using ratios arbitrarily purely to then go on to perform a conversion step, it doesn't make sense. It's not streamlined. Then the second aspect to not doing bad math is to not calculate values that we can pre-memorize in a straightforward way. We saw that with implied odds. We were basically able to half the size of the calculation simply by pre-memorizing a couple of very simple values. For the most part, just remembering the numbers 6 and 12. This applies to other calculations as well. For example, if your opponent is betting half pot against you and you are calculating your pot odds every time against that, you're still doing bad math because that's something that you can pre-memorize in a very straightforward way. Your opponent bets half pot, you get 25% pot odds on the call. All right, hope it was helpful and that it streamlined the way you think about the math surrounding poker. Thanks very much for listening. This was Coach Weasel and this was the Red Chip Poker Podcast. Have a nice and productive week! Poker Odds Calculator: Calculate Equity in Texas Hold'em