Free poker math quiz
Poker math quiz: 10 questions every player should get right
Tap an answer to see if it is right and why. Your score appears at the end, with a link to share it.
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1. You hold a flush draw on the flop: 9 outs, two cards to come. How often do you make the flush by the river?
Answer
35.0%. 1 − C(38,2) ÷ C(47,2) = 35.0%. The rule of 4 says 9 × 4 = 36%.
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2. The pot is 100 and your opponent bets 50. What share of the final pot must your call win to break even?
Answer
25%. You call 50 to win a pot of 100 + 50 + 50 = 200: 50 ÷ 200 = 25%.
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3. How many outs does an open-ended straight draw have?
Answer
8. Two ranks complete it, four cards each: 2 × 4 = 8.
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4. How many ways can a player be dealt a specific pocket pair, such as aces?
Answer
6. Choose 2 of the 4 aces: 4 × 3 ÷ 2 = 6.
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5. How many ways can a player be dealt ace-king?
Answer
16. 4 aces × 4 kings = 16, of which 4 are suited and 12 offsuit.
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6. On the turn you have 8 outs. What does the rule of 2 give for the river?
Answer
16%. 8 × 2 = 16%. Exactly it is 8 ÷ 46 = 17.4%.
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7. You bluff the size of the pot. How often must he fold for the bluff to break even?
Answer
50%. You risk 1 pot to win 1 pot: risk ÷ (risk + reward) = 1 ÷ 2 = 50%.
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8. How often does a pocket pair flop at least a set?
Answer
11.8%. 1 − C(48,3) ÷ C(50,3) = 11.8%, about 1 flop in 8.5.
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9. He bets half the pot. To stop him from bluffing profitably with any two cards, how much of your range must continue?
Answer
66.7%. Minimum defence frequency = pot ÷ (pot + bet) = 1 ÷ 1.5 = 66.7%.
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10. Aces against kings, all in before the flop. How often do the aces win?
Answer
About 82%. About 82%: the kings win about 18% of the time, mostly with a set or a straight or flush.
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Every number comes from the same formulas as the outs and pot odds calculators. Play money only; 18+.