Bounty mathematics
A knockout bounty is money added to the pot — but only if you cover the player you are calling.
5 minute read
In a bounty tournament, eliminating a player pays a prize on the spot. When you can win that prize by calling an all-in, it is extra money you can win, so it belongs in the pot-odds calculation exactly like chips already in the middle — once converted to the same units.
Break-even with a bounty
call ÷ (pot + call + bounty in chips)
$50 to call into $100 needs 33%. If the bounty is worth the equivalent of 25 more chips, it needs 50 ÷ 175 = 28.6%.
- Converting the bounty to chips: divide its cash value by the cash value of a chip (roughly prize pool ÷ total chips, adjusted by ICM late).
- You only win the bounty if you cover the all-in player. Calling a bigger stack adds nothing.
- In progressive knockouts, half the bounty is added to your own; the value is the immediate cash plus the increase in what others can win by busting you — which makes you a bigger target.
Bounties widen calling ranges, a lot
Early in a bounty tournament, when a bounty can be worth a large share of a starting stack, calling all-ins with far less than 50% equity is often correct. The arithmetic, not bravado, is what makes those calls right.
Quick check
Pot $100, call $50, and the bounty is worth 50 chips to you. What equity do you need?
Show answer
50 ÷ (100 + 50 + 50) = 25%, down from 33% without the bounty.