Alpha

What Is Alpha in Poker?

Alpha is the theoretical minimum frequency at which a bluff must succeed to break even. It represents the flip side of MDF -- while MDF tells the defender how often to continue, alpha tells the aggressor how often opponent must fold for a bluff to show profit. Understanding alpha transforms bluffing from guesswork into a precise mathematical calculation.

The Alpha Formula

Alpha is calculated as:

Alpha = Bet Size / (Pot Size + Bet Size)

This formula gives you the percentage of the time your bluff needs to work. Common alpha values every player should memorize:

• 25% pot bet: Alpha = 20% (opponent must fold 1 in 5 times)
• 50% pot bet: Alpha = 33% (opponent must fold 1 in 3 times)
• 75% pot bet: Alpha = 43%
• 100% pot bet: Alpha = 50% (opponent must fold half the time)
• 150% pot bet: Alpha = 60%
• 200% overbet: Alpha = 67%

Alpha in Practice: A River Bluff Example

You are on the river with a missed flush draw. The pot is $120 and you are considering a $90 bet (75% pot). Alpha = $90 / ($120 + $90) = 43%. If you estimate your opponent folds more than 43% of the time -- perhaps because the flush completed and they hold a one-pair hand -- your bluff is profitable regardless of what you hold. If they fold less than 43%, you are lighting money on fire.

The Alpha-MDF Connection

Alpha and MDF are mathematical complements. If alpha is 33% (for a half-pot bet), then MDF is 67%. The bettor needs 33% folds to profit; the defender must continue with 67% of their range to prevent exploitation. This elegant relationship is at the core of balanced poker strategy. When you bet and your opponent folds more than alpha, you are printing money with any two cards. When they fold less, your bluffs lose value but your Value Bets gain it.

Studying Alpha with ThinkGTO

Use the MDF Calculator to instantly compute alpha for any bet size. To see how solvers balance bluffing frequencies around alpha thresholds, explore river scenarios in Solver+, where you can observe that GTO strategies bluff at exactly the frequency that makes defenders indifferent to calling.