Alright partner, lesson 5. Tex is doing the talking.
The shift from hand to range
Beginners ask: what does my opponent have? Intermediate players ask: what could my opponent have? Strong players ask: what is the distribution of hands my opponent could have, weighted by how likely each one is?
That distribution is called a range. The shift from thinking about your opponent's one specific hand to thinking about their range is the hardest jump in poker. It is also where most of the skill lives.
Why ranges, not hands
You will never know exactly what your opponent has until showdown. Every decision before that is made under uncertainty. The right response to uncertainty is not to guess at one specific hand. It is to play correctly against the full set of hands that fit how your opponent has acted.
If your opponent opened from the button and called your three-bet, their range probably includes most pocket pairs, suited connectors, and broadway hands. It probably does not include 7-2 offsuit. When you make a decision against them, you are not playing against one hand. You are playing against the weighted average of every hand that survived their actions.
Equity against a range
Equity is your share of the pot if every remaining card came out and the hand went to showdown. Against a single hand, equity is a fixed number. Against a range, equity is the weighted average across every hand in the range, weighted by how often each one shows up.
Pocket aces against pocket kings is 81 percent equity. Pocket aces against a typical opening range from UTG (top 15 percent of hands) is about 84 percent equity. The aces play almost the same against the range as against the single hand because aces dominate so much of poker. But for marginal hands, the difference between equity against one hand and equity against a range is enormous.
The equity calculator on this site lets you set both sides to a range and compute the matchup. The Oracle gives you eighteen pre-built solver ranges to test against each other.
How ranges narrow
Every action your opponent takes narrows their range. They opened: they have an opening range. They called your three-bet instead of folding or four-betting: their range is narrower, no junk, no monsters. They called your continuation bet on a wet board: still narrower, mostly hands that connect with the board. They check-raised the turn: very narrow now, value hands and the occasional balanced bluff.
This narrowing is sequential. By the river, against a competent opponent, their range is usually small enough that you can make a decision based on a handful of specific hands. By preflop, it is usually broad enough that you should not pretend to know.
Your own range
Ranges are not just for your opponent. Strong players think about their own range too. If you only three-bet with pocket queens and better, observant opponents will fold to you. If you only three-bet with bluffs, observant opponents will call you down. The fix is balance: have value hands and bluffs in your three-betting range, in roughly the proportion that the math says.
This is what solvers calculate. They build the optimal range for each spot, including how often to take each action with each hand. You do not need solver-perfect ranges. You need ranges that are roughly balanced, with enough value hands and enough bluffs that a thinking opponent cannot easily exploit you.
The practical version
You will not compute ranges in real time at the table. What you will do is build mental templates: this is what UTG opens look like, this is what BTN three-bets look like, this is what a checked-back flop says about the cutoff's hand. Those templates come from study, from drilling on tools like the Oracle, and from running through enough specific spots that the pattern becomes automatic.
The good news: humans are pattern-matchers. Once you start thinking in ranges, your reads stop being guesses and start being probabilities. Your decisions get better the same way.
Takeaways
- A range is the full set of hands your opponent could have in a specific spot, weighted by how likely each one is.
- Every action narrows their range. By the river, the range is usually small. By preflop, it is usually broad.
- Equity against a range is the weighted average across every hand in the range. The equity calculator on this site does the math for you.
- Think about your own range too. Have value and bluffs in roughly balanced proportions. Solvers calculate this exactly; humans approximate.
Tex gut-check
One question, partner. Pass it and lesson 6 unlocks.
Your equity against your opponent's range is forty percent on the turn. He bets and you have to decide whether to call. What does that forty percent actually tell you?
Continue to lesson 6