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Basketball

Decimal odds and implied probability: a PBA/NBA worked example

How to turn basketball odds into implied probability and see the bookmaker's margin, with invented numbers. Educational only, 21+.

On this page (4 sections)

Education, not betting advice. All numbers below are invented. Betting carries risk of loss; you must be 21+. See responsible gambling.

Odds look random until you translate them into percentages. This is the same arithmetic whether the game is PBA or NBA.

Step 1: implied probability

Implied probability = 1 ÷ decimal odds.

Invented moneyline: Team A 1.50, Team B 2.60.

  • Team A: 1 ÷ 1.50 = 0.667, so 66.7%.
  • Team B: 1 ÷ 2.60 = 0.385, so 38.5%.

Step 2: add them up

0.667 + 0.385 = 1.051, or about 105.1%. A fair two-way market would total 100%. The extra ~5 points are the bookmaker's built-in margin (the "vig" or "juice"), which is why you lose a little over time even when your picks are exactly as good as the odds suggest.

Step 3: what it means for you

  • To break even at odds of 2.60 you need to win more than 38.5% of the time on that kind of bet.
  • A tip that "feels" 60% likely is only valuable if the odds imply less than 60%. Feelings and favourite teams are not edges.
  • A longer losing streak than you expect is normal. Never raise stakes to chase it.

Staying safe

Set a budget before you play, use deposit limits, and use only a sportsbook you can verify with PAGCOR. Back to the odds basics.

Frequently asked questions

How do I convert decimal odds to implied probability?

Divide 1 by the decimal odds. Odds of 2.00 imply 1 / 2.00 = 50%.

What is the bookmaker's margin?

When the implied probabilities of all outcomes add up to more than 100%, the extra is the bookmaker's built-in margin. In our invented example it is about 5%.

Ano ang implied probability?

Ito ang tsansang 'ipinapahiwatig' ng odds. Hatiin ang 1 sa decimal odds: ang 2.00 ay 50%.

Related reading

Also: PAGCOR licence checker →