Christmas tree bingo pattern
The Christmas tree pattern needs 12 called squares plus the free space. A single card completes it after about 70.2 of the 75 calls on average; with 30 cards in play the first winner usually comes around call 58.
| B | I | N | G | O |
|---|---|---|---|---|
13 | 23 | 41 | 54 | 64 |
15 | 29 | 33 | 51 | 73 |
12 | 27 | FREE | 46 | 74 |
10 | 22 | 38 | 48 | 62 |
7 | 25 | 36 | 52 | 70 |
Shaded squares: the Christmas tree pattern.
Play for Christmas tree: 12 called squares plus the free space.
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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 Christmas tree pattern looks like
A tree with a pointed top, a full middle row of branches, a trunk in the N column and a three-square stand. 12 called squares plus the free space.
Column by column, Christmas tree needs 1 B, 3 I, 4 N plus the free center, 3 G and 1 O squares, so N calls (31-45) help most.
Also called "holiday tree" or "tree".
Squares to cover for Christmas tree
Squares are named by column letter and row (B1 is the top-left corner, O5 the bottom-right).
- N1, I2, N2, G2, B3, I3, free space, G3, O3, N4, I5, N5, G5
Christmas tree in numbers
| Squares in the pattern | 13 of 25 |
|---|---|
| Numbers that must be called | 12 (the free center is part of the pattern) |
| Ways to make it on one card | 1 |
| Called squares per column | B 1 · I 3 · N 4 · G 3 · O 1 |
| Expected calls, one card | 70.2 of 75 |
| Chance one card has it by call 40 | under 0.1% |
| Rank by speed | 45 of 70 patterns (1 = fastest) |
Chance of Christmas tree by each call
Exact probability that one 75-ball card has completed Christmas tree after a given number of calls (hypergeometric).
| By call | One card | Formula |
|---|---|---|
| 20 | under 0.1% | (20/75) × … × (9/64) |
| 30 | under 0.1% | (30/75) × … × (19/64) |
| 40 | under 0.1% | (40/75) × … × (29/64) |
| 50 | 0.5% | (50/75) × … × (39/64) |
| 60 | 5% | (60/75) × … × (49/64) |
How many calls until someone wins Christmas tree
300 simulated games per row on 75-ball cards with a free center, the winner being the first card to complete Christmas tree.
| Cards in play | Median calls | 8 games in 10 end between | Share of the 75 numbers |
|---|---|---|---|
| 10 cards | 62 | calls 54 and 67 | 83% |
| 30 cards | 58 | calls 51 and 63 | 77% |
| 100 cards | 53 | calls 45 and 58 | 71% |
Christmas tree compared with similar patterns
Patterns just faster and just slower than Christmas tree, by expected calls for one card.
| Pattern | Called squares | Expected calls (1 card) | First winner, 30 cards |
|---|---|---|---|
| Letter M | 12 | 70.2 | 58 |
| Letter W | 12 | 70.2 | 59 |
| Christmas tree (this page) | 12 | 70.2 | 58 |
| Star | 12 | 70.2 | 57 |
| Witch hat | 12 | 70.2 | 58 |
How to call a Christmas tree game
-
Show the pattern
Hold up or project the Christmas tree diagram before the first call and say how many squares count: 12 plus the free space.
-
Call at a steady pace
With 30 cards expect the first winner near call 58 (8 games in 10 between 51 and 63); with 100 cards near call 53.
-
Check the winning card
Read back each of the 12 numbers in the pattern from the caller sheet.
-
Tip for this pattern
Call it the last round of a holiday party; players can decorate the finished tree on their card while you check it.
Frequently asked questions
How many numbers do you need for Christmas tree bingo?
12 called numbers; the free center is part of the pattern and counts as covered. The pattern covers 13 of the 25 squares.
How long does a Christmas tree game take?
About 70.2 calls for one card on average. In 300 simulated games the first winner came at a median of call 62 with 10 cards, 58 with 30 cards and 53 with 100 cards.
Is Christmas tree faster than layer cake?
Yes. Christmas tree needs about 70.2 calls on one card and layer cake about 70.9, so Christmas tree finishes 0.8 calls sooner on average.
What else is the Christmas tree pattern called?
It is also known as "holiday tree" and "tree". The squares are the same: 12 called numbers.
Related
Cards for this pattern
More bingo patterns
- Number 1 7 calls needed · about 66.5 calls on one card
- Picture frame 16 calls needed · about 71.5 calls on one card