Lesson 228 min

The Cost of Chasing Draws

A draw can complete often enough to create memorable wins while the call still loses money over time. Pot odds identify a bad price; expected value measures exactly how much accepting that price costs across repeated equivalent decisions.

expected valuepot oddsimplied oddsreverse implied oddsrule 4 2
What you will be able to do
  • Convert equity and pot odds into the EV of calling.
  • See how one losing call compounds across repeated equivalent decisions.
  • Distinguish a small deficit that future winnings may rescue from a large, unrealistic implied-odds claim.

A MAJOR POKER LEAK

Winning sometimes is not the same as winning money

When a chased draw completes, the call feels justified. What matters is the average result when the same decision is made repeatedly at the same price.

The result is memorable. EV measures the cost.

CASE 3 · THE EXPENSIVE CHASE

Pot 90 BB · Villain bets 60 BB · Call 60 BB

HERO
TURN
BOARD

Hero has 8♣7♦. Any four or nine completes the open-ended straight draw.

1OUTS8

Four fours + four nines

2ESTIMATED EQUITY8 × 2 ≈ 16%

Rule of 2 on the turn

3REQUIRED EQUITY60 ÷ 210 = 28.6%

Call ÷ final pot after calling

16% < 28.6%BAD PRICE

TURN THE PRICE INTO CHIPS

16%DRAW HITS AND WINS+150 BB
84%DRAW MISSES AND LOSES−60 BB
16% × (+150 BB) + 84% × (−60 BB) = −26.4 BB

This call does not lose 26.4 BB every time. It loses 26.4 BB per call on average across repeated equivalent decisions.

REPEAT THE DECISION

How much does this decision earn over time?

Move beyond one result and see the total expected value of making the same decision at the same price again and again.

EXPECTED WINS16

16 × 150 = +2,400 BB

EXPECTED LOSSES84

84 × 60 = −5,040 BB

TOTAL EXPECTED VALUE−2,640 BB

Occasional wins hide the larger accumulated loss.

THE LEAK TO REMEMBER

“I got there” is not evidence that the call was good

Judge the call by the price paid and the weighted average of every outcome—not by how often you remember completing the draw. Repeating a bad price makes the leak grow.

ONE THING TO REMEMBER

Winning the pot after completing a draw does not prove that calling was correct. Judge the price when the decision was made, then use EV to measure the long-run cost or profit.

TRY IT

This is a 1-question test. Start when you are ready.

Takeaway

Completing a draw sometimes does not make a call profitable. Compare the price first, calculate the call’s EV, and treat repeated negative-EV chasing as a measurable leak.