Mystery Bounty Calculator
Enter the remaining envelopes to get the average pull value, what it is worth in chips, how much wider you can call — and the odds your next pull is the jackpot.
Remaining envelopes
Presets are illustrative pyramids (jackpot on top, many minimum envelopes) — edit the rows to match the live counts your event publishes.
Tournament & the spot
Methodology — the exact model, honestly stated
- Average envelope: total remaining bounty dollars ÷ remaining envelopes. Each pull is a uniform random draw from what is left, so its expected value is that mean.
- Chip conversion: chips = average envelope $ ÷ (total prize money contributed per player ÷ starting stack). One buy-in buys one starting stack, so that ratio is the start-of-tournament price of a chip. The full envelope value is counted — unlike a PKO, nothing is deferred onto your own head.
- Adjusted equity: required equity = to-call ÷ (pot + to-call + envelope chips). With no bounty at stake it collapses to standard pot odds.
- Top-prize odds: remaining top-value envelopes ÷ total remaining envelopes — simple counting, recomputed as you edit the rows.
- Known limitations: chips are valued at the starting rate (a fixed-dollar envelope buys relatively more chips late — mildly conservative), the model is chip-EV and ignores ICM pressure near pay jumps, it assumes bounties are already active, and it assumes you cover the shover. The presets are illustrative shapes, not real payout tables.
What a mystery bounty pull is actually worth
Mystery bounty tournaments turned the knockout format into a lottery with a poker table attached: every elimination after bounties activate earns a random envelope, and somewhere in the pile is a jackpot worth hundreds of buy-ins. The marketing runs on that top envelope. Your decisions should run on the average one. Since each pull is a random draw from the remaining envelopes, the expected value of your next knockout is simply the money left divided by the envelopes left — and that single number is what belongs in your pot-odds math.
Converting it to chips uses the same honest exchange rate as any bounty format: one buy-in bought one starting stack, so a chip costs buy-in ÷ starting stack dollars. Divide the average envelope by that rate and you know exactly how many chips of extra value are sitting on every covered opponent's head. In a typical $1,000 event with a 60,000 stack and a $200 average envelope, that is about 12,000 chips — a fifth of a starting stack added to the pot every time you can felt someone.
Mystery bounties change calling ranges more than PKOs do
In a progressive knockout, you bank only half the bounty — the other half lands on your own head. In a mystery bounty you keep the entire envelope, so the full average value goes into the pot when you price a call. The effect on ranges is bigger than most players internalize: a bounty worth a fifth of a starting stack can cut your required equity by five to ten percentage points, which turns fold-and-move-on hands into snap calls. The two conditions that gate all of this: bounties must be active (most events seal the envelopes until day 2 or the money), and you must cover the all-in player — an envelope you cannot win is worth exactly nothing to you.
The flip side: because the distribution is so top-heavy, the median envelope is far below the average. You will pull minimum envelopes most of the time, feel cheated, and be tempted to stop paying for bounties. Resist that — expected value is the right price even when the variance stings. And when you are short yourself, the calculus inverts: everyone wants your envelope pull, so shoving ranges against you get called wider. Our push/fold chart baseline plus a bounty discount for your callers is the practical way to adjust.
The jackpot pull, and when the math says to gamble
The shareable number — odds your next pull is the top prize — is straight counting: top envelopes remaining over total envelopes remaining. It also carries a real strategic lesson: if the field shrinks and the jackpot envelope has not been hit, every remaining pull gets more valuable, sometimes dramatically so. Sharp players track the live envelope board for exactly this reason, and it is why a knockout with 40 players left can be worth multiples of one with 400 left. One caveat this tool states plainly: it prices bounties in chip-EV. Near a bubble or big pay jump, tournament dollars stop scaling linearly with chips, and you should sanity-check decisions with our ICM calculator before flipping for envelopes.
Frequently asked questions
How does a mystery bounty tournament work?
Part of every buy-in funds a bounty pool that is split into sealed envelopes of different values — a few huge ones and many small ones. Once bounties activate (usually on day 2 or in the money), every knockout earns you one random pull from the remaining envelopes. Unlike a PKO, you keep the entire amount you pull, and the amount is unknown until you open it.
How is the average envelope value calculated?
Total remaining bounty money divided by the number of remaining envelopes. If 500 envelopes containing $100,000 remain, the average pull is worth $200. That average — not the headline top prize — is the number to use for calling decisions, because each pull is a random draw and the expected value of a random draw is the mean of what is left.
How much is a mystery bounty worth in chips?
Convert the average envelope value at the tournament's starting exchange rate: chips = average envelope $ ÷ (buy-in ÷ starting stack). In a $1,000 event with a 60,000 starting stack, each chip costs about $0.0167, so a $200 average envelope is worth roughly 12,000 chips — a fifth of a starting stack added to every pot where you can bust someone.
Should I call wider in mystery bounty tournaments?
Yes, once bounties are active and you cover the all-in player — often wider than in a PKO, because you keep the whole envelope rather than half a bounty. Add the average envelope's chip value to the pot and recompute required equity: to-call ÷ (pot + to-call + envelope chips). Before bounties activate, none of this applies and you should play normal tournament ranges.
What are the odds my next pull is the top prize?
Remaining top-prize envelopes divided by total remaining envelopes. With one $10,000 envelope among 500 remaining, your next pull hits it 1 in 500 times (0.2%). The odds improve as envelopes are pulled without hitting it — which is why late knockouts in a mystery bounty can be dramatically more valuable than early ones if the big envelopes are still live.
Is the average envelope the right number to use for decisions?
For chip-EV decisions, yes — expected value is what pricing a call requires. But the distribution is heavily top-heavy: the median pull is usually far below the average, so most bounties will feel disappointing. That is normal and does not change the math. If you are near a big pay jump where ICM matters, tighten up relative to the pure chip-EV answer.
Are the WSOP-style and GG-style presets real payout structures?
No — they are illustrative pyramids modeled on the general shape of published structures (one jackpot envelope, a thin middle, many minimum envelopes). Real distributions vary by event and by how many envelopes have already been pulled. Always edit the rows to match the live counts your tournament actually publishes.
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