A good price still needs a plausible range
The river pot is 100 chips. An opponent bets 50. You beat all their bluffs and lose to all their value hands. If 30% of their betting range is bluffs, which action has higher chip EV?
Make the decision.
Check the reasoning.
Six original exercises for your next off-table study session. Compare prices, count combinations and test assumptions before the outcome distracts you. Every answer shows its working.
How to use this lab
Allow about 15 minutes. Write down your calculation before choosing an answer. All chip amounts are hypothetical; these are constructed teaching examples, not solver recommendations or observed population data. No real-money play is involved.
Start with the pot-odds guide if you are new to expected value. For each case, identify the assumption that would most easily change the answer. Progress is saved only on this device.
0 of 6 decisions reviewed
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How often must a pure bluff work?
On the river, the pot is 90 chips. You bet 60 with a hand that always loses if called. How often must your opponent fold for the bet to break even?
Do not buy two cards when only one is offered
On the turn, nine of 46 unseen cards make your winning draw; every other card loses. The pot is 60 and the opponent moves all-in for 20. Is calling profitable in this model?
Count the hands your card removes
You hold A♠ Q♣. How many combinations of pocket aces can an opponent hold, before accounting for action or other exposed cards?
Weight the range before calling
On the river you face a 100-chip bet into 100. Your bluff-catcher beats 6 bluff combinations and loses to 18 value combinations. Assume every listed combination takes this line equally often, with no ties. Call or fold?
A losing hand can contain a good decision
You made the +10-chip call in the first case, lost at showdown, and recorded the hand. What is the strongest next review step?
A repeatable hand-review worksheet
Copy these prompts into your own notes. Leave out other players’ names and account details. Focus on one uncertain decision rather than replaying the entire session.
- Reconstruct: position, effective stack, cards, action and pot before the decision.
- Price: cost to call, final pot and required equity; or risk and reward for a bluff.
- Range: plausible value hands, bluffs, blocked cards and action frequencies.
- Uncertainty: which assumption lacks evidence? What alternative would reverse the decision?
- Review: separate the actual result from expected value; choose one guide to revisit.
Next session: change the bet size in one case and explain why the threshold moves. The goal is a reproducible thought process, not memorising which button was correct.
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