What are the pot odds on a half-pot bet?
A half-pot bet lays you 3-to-1, so you need about 25% equity to call.
One-card direct odds assume you fold after a miss and pay no further bets. Use by-the-river odds when this call guarantees both cards, such as an all-in or a guaranteed free river.
When the pot is 100 and your opponent bets 50, you are risking 50 to win 150, which is 3-to-1. Turn that into a percentage and you need to win at least a quarter of the time to break even. Big made hands clear that easily. A bare draw with chips still behind usually does not, so this is the size where implied odds start doing the work.
Worked example: the pot is 100 on the turn and your opponent bets 50. You call 50 to win the 100 already there plus the 50 bet, 150 in total. 50 to win 150 is 3-to-1, and 50 divided by 200, the pot after your call, is 25%.
On one-card direct odds, price the turn card. A flush draw hits it 19.1% of the time and an open-ender 17.0%, both short of 25%, so they call on implied odds: what you expect to win later when you hit. Only a combo draw at 31.9% has the direct price. If the call puts you all-in you see both cards for one price, and then a flush draw at 35.0% and an open-ender at 31.5% clear it comfortably while a gutshot at 16.5% does not. On the turn a flush draw at 19.6% is short too.
Quick tip: Half pot is the reference point worth memorizing: 25% equity needed, 3-to-1.
Now play the spots where it counts.
Practice against opponents who make you prove your math, hand after hand.
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