Bingo Payout Calculator: Prize Pool, RTP & EV

Whether a bingo game is worth its price comes down to three numbers: the prize, the card price and how many cards are sold against yours. This Bingo Payout Calculator turns them into expected value and RTP for fixed prizes, guaranteed minimums and pools paid as a percentage of sales.

Enter the effective price of one eligible card, the cards you hold, total cards sold, the prize model, the rake and the probability that the prize is paid at all. You get the prize if awarded, expected game RTP, house or player edge, your expected payout, EV per card, per game and per session, and the attendance at which the game stops paying for itself.

The Core Bingo Payout Math

Everything starts with prize equity, your share of the cards that can win:

Equity = Your Eligible Cards / Total Eligible Cards Sold

If the nominal prize pool is G and the probability that it is paid is a, then:

Expected Payout = a × G × Equity

EV = Expected Payout − Cost of Your Cards

When the same prize is offered several times on the same terms, the results add up:

Session EV = EV per Game × Number of Prize Opportunities

The games do not have to be independent for this to hold. Independence affects how results are distributed around the average; expected values add regardless, as long as each game is modeled correctly.

Model scope. The calculator gives every eligible card the same prize rights and uses one effective card price for both your cost and the field’s sales. If other players paid noticeably different package prices, the RTP and the sales-funded pool are approximations. The award probability is taken as you enter it; the calculator does not derive it from a limited-call pattern.

Three Prize-Pool Models

Fixed Prize

The prize is the same whatever the attendance. A $500 prize against 80 cards sold at $5 means $400 in card sales, so with the prize always paid the expected RTP is 125%.

Guaranteed Minimum

The prize is whichever is larger, the guarantee or the pool funded by sales:

Nominal Pool = max(Guarantee, Card Sales × (1 − Rake))

A small crowd makes the guarantee binding, and that is where a player can hold the edge. Las Vegas Advisor describes the same effect in its answer on crowd size and bingo EV: guaranteed prize money against a thin field can put the players ahead, and a large field against a fixed pool does the opposite.

Percentage of Sales

When a constant share of sales goes back as prizes, attendance changes the size of the pool in dollars but leaves the return untouched:

Expected RTP = Prize Award Probability × (1 − Rake)

With a 20% rake and a prize paid every game, expected RTP is 80% whether 100 or 1,000 cards are sold.

Why Prize Award Probability Matters

Some advertised jackpots are paid only when a pattern is completed within a set number of calls. South Point in Las Vegas, for example, advertises a $10,000 Bonus Coverall for a card covered in 52 numbers or fewer (South Point bingo page).

A $10,000 prize that is hit only some of the time is worth less than $10,000 in expectation, so the calculator scales it:

Expected Prize Pool = Prize Award Probability × Nominal Prize Pool

Expected RTP = Expected Prize Pool / Gross Card Sales

• Prize paid every game: enter 100%.
• Limited-call or conditional jackpot: enter the probability that the condition is met.
• Rollover, consolation prize or must-go rule: calculate those payouts as separate prize levels; entering a lower probability alone treats a miss as paying nothing.

House Edge vs. Player Edge

Edge = 1 − Expected RTP

Below 100% RTP the result is labeled House Edge. Above 100% the calculator switches the label to Player Edge and shows a positive percentage, so 125% expected RTP appears as a 25% player edge.

A player edge on one prize does not mean the venue loses money on the night. Admission, package pricing, side games and food and drink sit outside this calculation.

Break-Even Attendance

For a fixed prize or a binding guarantee G, card price C and award probability a, EV is zero at:

N* = a × G / C

A $500 guarantee, a $5 card and a prize paid every game give N* = $500 / $5 = 100 cards. With a 20% rake the picture across attendance levels is:

EV is positive below 100 cards, zero at 100 and negative above it. In the guaranteed-minimum model the calculator also reports where sales after rake overtake the guarantee:

Nswitch = G / (C × (1 − r))

Here that is 125 cards. From that point the pool grows with sales and the RTP stays at 80%, so the loss per card stops getting worse. At 0% rake with the prize always paid, the result never turns negative: once all sales are returned as prizes, RTP holds at 100% and EV at zero.

Attendance Sensitivity

Attendance is usually the input you know least well. The posted guarantee is printed on the schedule; the number of cards in play is a guess until the session starts.

The sensitivity table under the results recalculates the prize, expected RTP and EV per card from half to double your estimate. If the sign of EV flips within that range, the decision depends on a headcount you cannot be sure of.

When Prize Award Probability is below 100%, the table keeps it fixed. In a real limited-call jackpot the chance that somebody qualifies rises as more cards are sold, so read those rows as what-if scenarios for the probability you entered.

If the break-even point is not a whole number, the calculator names the last card count with positive EV and the first with negative EV.

How to Convert a Session Package into Card Cost

Halls often sell packages instead of pricing each card for each game. If the package gives equal prize rights and is spread evenly across the session:

Effective Card Cost = Package Price / Games in Session / Eligible Cards per Game

A $30 package covering 10 games with 6 eligible cards per game works out to $30 / 10 / 6 = $0.50 per eligible card.

If the package mixes prize rights, bonus cards or special games, split its cost between those games or prize levels first. Do not add up EV from several prize-level calculations if each one was charged the full package price: the cost would be counted more than once.

Do Split Pots and Ties Change EV?

Not when all eligible cards are equal and simultaneous winners split the prize evenly.

If your cards are 5% of all eligible cards, your expected share of a fairly split prize is 5%. Ties change how often you are paid and how much you receive each time; the average stays where it was. For that reason the calculator has no field for the expected number of winners. A tie model matters for variance and for the spread of payouts, and EV does not need it.

To work out your card-share probability floor, use the odds tool. To estimate repeated-game odds over an evening, use the session tool.

Example: $500 Guarantee and 80 Cards

The calculator opens with these inputs:

• effective card price: $5;
• your eligible cards: 6;
• total eligible cards sold: 80;
• guaranteed prize: $500;
• operator rake: 20%;
• prize award probability: 100%;
• repeated prize opportunities: 1.

Gross sales are $400. After the 20% rake the sales-funded pool would be $320, so the $500 guarantee applies.

Equity = 6 / 80 = 7.5%

Expected Payout = $500 × 7.5% = $37.50

EV = $37.50 − $30 = +$7.50

Expected RTP = $500 / $400 = 125%

The results show a Player Edge of +25%, EV of +$1.25 per card and break-even at 100 cards.

Now make the same $500 a conditional prize that is paid half the time and pays nothing otherwise. Expected RTP at 80 cards drops to 62.5%, break-even falls to 50 cards, and six $5 cards carry an EV of −$11.25.

Frequently Asked Questions (FAQ)