Bingo Blackout EV Calculator

Should you buy an additional board set in the blackout (coverall) round?

Game Parameters

Advanced: Prize & Cost Settings

Your Current Position

Your Boards
Total in Room
P(Jackpot Hit)
P(You Win)
Expected Payout
Your Cost
Expected Profit
Marginal EV

Net EV vs Call Limit

Marginal EV per Additional Set

SetsBoardsE[Payout] Marginal EVNetDecision
About This Calculator

What is this?

This tool calculates the expected value (EV) of buying an additional board set in the blackout (coverall) round of a cash-prize bingo game.

The setup

Many bingo nights include a coverall round — you must mark every number on your board to win. A cash jackpot is awarded if someone achieves coverall within a set number of calls (typically 50–60). If nobody wins within that limit, a smaller consolation prize is paid out instead.

In the coverall round, players can often buy additional board sets. The question this tool answers is: Given the number of players, the prize structure, and the call limit — is spending money on an additional set a positive or negative expected value decision?

What is a "board set"?

A board set refers to one or more bingo boards sold together on a single sheet of paper. For example, a sheet with 3 boards printed on it is a board set of 3. Use the "Boards per Set" option under Advanced settings to match the format at your venue.

Bingo format assumed

This calculator assumes standard 75-ball bingo: five columns (B-I-N-G-O) with 15 numbers each (1–15, 16–30, 31–45, 46–60, 61–75), a 5×5 grid, and a free center square — giving 24 numbered spaces per board. This is the most common format in the United States and Canada. If your game uses a different number of balls (e.g., 80 or 90-ball bingo, common in the UK and Australia), this calculator does not apply.

How it works

The calculator uses a deterministic, iterative probability model. For each possible winning call number (24 through 75), it computes:

  • The probability that the first coverall in the room occurs on exactly that call
  • Your expected share of the prize, accounting for ties and splits
  • Whether the jackpot or consolation prize applies

It sums these contributions to produce an exact expected payout, then compares the marginal value of one more set against its cost.

Prize structure inputs

Jackpot Amount — the fixed dollar amount awarded if someone achieves coverall within the call limit. This works for any fixed-prize format: a flat jackpot, a progressive/rolling jackpot (enter the current accumulated value), or a guaranteed prize. It does not need to be funded by that night's revenue.

Jackpot Call Limit — the maximum number of balls that can be called for the jackpot to be eligible. If no one achieves coverall by this call, the consolation prize applies instead.

Non-Jackpot Payout % — the consolation prize, expressed as a percentage of the coverall round's total revenue (number of sets sold × cost per set). For example, if 200 sets are sold at $2 each and the payout is 50%, the consolation prize is $200. If your venue pays a flat consolation amount instead, you can approximate it by calculating what percentage of revenue it represents and entering that value.

When is it +EV?

  • The jackpot call limit is generous (58+ calls)
  • The number of players is small
  • The jackpot is large relative to total board sets in play
  • The average boards per player is low

Limitations

  • Assumes standard 75-ball bingo with a free center square (24 numbered spaces)
  • Assumes all players buy the same average number of sets
  • Treats boards as independent (a very good approximation for blackout)