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Indifference & Mixed Strategies

Lesson 8 · When multiple lines tie in EV · 24 practice questions

Indifference

When two actions have the same EV, strategy is indifferent — any mix is fine. GTO uses this to balance.

Nuts vs pure air

If villain only folds, betting nuts is not required — check wins the same pot. Solver may mix arbitrarily.

Don't overfit to frequencies

In indifferent spots, the frequency is not a 'rule' — focus on which hands belong in each action.

Key takeaways

• When lines tie in EV, GTO mixes to stay unexploitable.
• Bluffs make villain indifferent between call and fold; value sets how many bluffs you need.
• Switch to a pure strategy only to exploit a known leak.

Sample drill from this lesson

Solver spot (indifference): river, pot=100, villain checks. You hold a set of jacks (the nuts); villain's range is pure air and never calls a bet. Best action?

Board: 2♣ 7♦ 9♥ J♠ 4♠
Your hand: J♥ J♣

Best action: Check Bet

Why: ✓ You have a set — check/bet for value and protection, charging worse hands and draws.

FAQ

What does indifference mean in GTO poker?

At equilibrium the opponent is often made indifferent — their bluff-catcher wins and loses the same on average, so calling and folding have equal EV. That is why balanced ranges mix actions.

When should you use a mixed strategy?

Mix when two lines tie in EV — for example betting a hand part of the time and checking it the rest — which keeps your ranges balanced and hard to exploit.

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