Bingo Card Generator

Generate 75-ball (5×5, B-I-N-G-O) and 90-ball British bingo cards. Calculate probability of bingo by call number, compare win patterns (single line, full house, four corners), and room odds.

Cards Generated
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Full House Prob (1 card, 75 calls) —
Avg Calls for First Bingo (5x5) —
Extended More scenarios, charts & detailed breakdown ▾
Cards Generated
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Prob of Bingo by Call 50 (1 card) —
Prob of Bingo by Call 50 (4 cards) —
Professional Full parameters & maximum detail ▾

Your Cards

Prob Your Card Has Bingo by Now —

Room Statistics

Prob Someone Has Won (full room) —
Possible Unique 75-Ball Cards —

How to Use This Calculator

  1. Select the number of cards to generate (up to 20).
  2. Choose 75-ball (US/Canada) or 90-ball (UK/Australia).
  3. See bingo probability statistics instantly.
  4. Use the Win Patterns tab to compare single line, full house, four corners, and blackout average call counts.
  5. Use Professional for room-wide probability given total players.

Formula

75-ball columns: B=1–15, I=16–30, N=31–45 (FREE center), G=46–60, O=61–75

Multi-card probability = 1 − (1 − P_single)^n

Example

Single card, 50 calls: P(bingo) ≈ 57.65%. With 4 cards: P ≈ 1 − (1−0.5765)^4 = 97.4%.

Frequently Asked Questions

  • A 5×5 grid with columns B (1–15), I (16–30), N (31–45 with FREE center), G (46–60), O (61–75). Each column has 5 random unique numbers from its range. The center FREE space counts as always marked.
  • Each column has C(15,5)×5! arrangements: B has 360,360 possibilities. Total unique 5×5 cards ≈ 552 trillion. In practice, cards are generated to be unique within a given game.
  • For a single line (any row, column, or diagonal) on a 5×5 card: approximately 41 calls on average. For full house (all 24 numbers): approximately 74 calls. For four corners: about 54 calls.
  • Popular in the UK: 3 rows × 9 columns, with 5 numbers per row (and 4 blanks). Numbers 1–90 are used. Three prize levels: 1 line, 2 lines, full house. Average full house: ~51 calls.
  • Yes, approximately linearly. With 4 cards out of 50 total in a game, you have an 8% chance of being the winner on any given bingo call — compared to 2% with 1 card. Cards compete against each other too.

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Sources & References (5) ▾
  1. World Bingo Association — World Bingo Association
  2. Mathworld — Bingo — Wolfram MathWorld
  3. Math is Fun — Probability — Math is Fun
  4. UK Gambling Commission — Bingo — UK Gambling Commission
  5. Bingo Hall of Fame Archive — Bingo Patterns Archive