Picture frame bingo pattern
The picture frame pattern needs 16 called squares. A single card completes it after about 71.5 of the 75 calls on average; with 30 cards in play the first winner usually comes around call 61.
| B | I | N | G | O |
|---|---|---|---|---|
5 | 30 | 38 | 46 | 74 |
11 | 25 | 43 | 58 | 66 |
6 | 19 | FREE | 49 | 75 |
2 | 18 | 36 | 60 | 67 |
3 | 21 | 40 | 53 | 72 |
Shaded squares: the picture frame pattern.
Play for picture frame: 16 called squares.
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Caller sheet
Every call in a shuffled order. Tick each one as you read it out; the same share link always gives the same order.
Updated
What the picture frame pattern looks like
Every square on the outside edge of the card: the top and bottom rows and the B and O columns. That is 16 squares, and the free space plays no part.
Column by column, picture frame needs 5 B, 2 I, 2 N, 2 G and 5 O squares, so B and O calls (1-15 and 61-75) help most.
Also called "outside edges", "border", "big frame" or "outer square".
Squares to cover for picture frame
Squares are named by column letter and row (B1 is the top-left corner, O5 the bottom-right).
- B1, I1, N1, G1, O1, B2, O2, B3, O3, B4, O4, B5, I5, N5, G5, O5
Picture frame in numbers
| Squares in the pattern | 16 of 25 |
|---|---|
| Numbers that must be called | 16 (the free space does not help) |
| Ways to make it on one card | 1 |
| Called squares per column | B 5 · I 2 · N 2 · G 2 · O 5 |
| Expected calls, one card | 71.5 of 75 |
| Chance one card has it by call 40 | under 0.1% |
| Rank by speed | 57 of 70 patterns (1 = fastest) |
Chance of picture frame by each call
Exact probability that one 75-ball card has completed picture frame after a given number of calls (hypergeometric).
| By call | One card | Formula |
|---|---|---|
| 20 | under 0.1% | (20/75) × … × (5/60) |
| 30 | under 0.1% | (30/75) × … × (15/60) |
| 40 | under 0.1% | (40/75) × … × (25/60) |
| 50 | under 0.1% | (50/75) × … × (35/60) |
| 60 | 2% | (60/75) × … × (45/60) |
How many calls until someone wins picture frame
300 simulated games per row on 75-ball cards with a free center, the winner being the first card to complete picture frame.
| Cards in play | Median calls | 8 games in 10 end between | Share of the 75 numbers |
|---|---|---|---|
| 10 cards | 66 | calls 59 and 69 | 88% |
| 30 cards | 61 | calls 54 and 66 | 81% |
| 100 cards | 58 | calls 52 and 62 | 77% |
Picture frame compared with similar patterns
Patterns just faster and just slower than picture frame, by expected calls for one card.
| Pattern | Called squares | Expected calls (1 card) | First winner, 30 cards |
|---|---|---|---|
| Layer cake | 14 | 70.9 | 59 |
| Heart | 15 | 71.2 | 60 |
| Picture frame (this page) | 16 | 71.5 | 61 |
| Tic-tac-toe | 16 | 71.5 | 61 |
| Hourglass | 16 | 71.5 | 61 |
How to call a picture frame game
-
Show the pattern
Hold up or project the picture frame diagram before the first call and say how many squares count: 16.
-
Call at a steady pace
With 30 cards expect the first winner near call 61 (8 games in 10 between 54 and 66); with 100 cards near call 58.
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Check the winning card
Read back each of the 16 numbers in the pattern from the caller sheet.
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Tip for this pattern
A long game on a small grid; a fast caller keeps the pace up because only edge squares matter.
Frequently asked questions
How many numbers do you need for picture frame bingo?
16 called numbers; the free space is not part of it. The pattern covers 16 of the 25 squares.
How long does a picture frame game take?
About 71.5 calls for one card on average. In 300 simulated games the first winner came at a median of call 66 with 10 cards, 61 with 30 cards and 58 with 100 cards.
Is picture frame faster than window pane?
Yes. Picture frame needs about 71.5 calls on one card and window pane about 72.4, so picture frame finishes 0.9 calls sooner on average.
What else is the picture frame pattern called?
It is also known as "outside edges", "border", "big frame" and "outer square". The squares are the same: 16 called numbers.
Related
Cards for this pattern
More bingo patterns
- Number 1 7 calls needed · about 66.5 calls on one card
- Christmas tree 12 calls needed · about 70.2 calls on one card