What is the probability of drawing a blank tile in your opening Scrabble hand?

With 2 blanks in 100 tiles and drawing 7, the probability of getting at least one blank in your opening hand is approximately 13.3% (about 1 in 7.5 games). The probability of drawing both blanks in your opening hand is about 0.4% (1 in 236 games).

Why are blank tiles the most valuable tiles in Scrabble?

Despite being worth 0 points, blanks dramatically increase bingo probability. A player holding a blank has roughly a 30-35% chance of playing a bingo (+50 bonus), compared to about 8-12% without one. Each blank is worth approximately 25-30 points in expected value over the course of the game.

On which turn are you most likely to draw your first blank in Scrabble?

The first blank is most likely drawn between turns 3-5. By turn 7, there's a 65% chance at least one blank has been drawn. The expected turn for the first blank to appear is around turn 3-4.

Probability of Drawing Blank Tiles in Scrabble: Complete Math Guide

June 14, 2026 7 min read Word Finder

Blank tiles are worth zero points on paper, yet they're unanimously considered the most valuable tiles in Scrabble. The reason is pure probability: a blank transforms a mediocre rack into a bingo machine. Understanding the math behind drawing blanks — and what they're really worth — can change how you approach every game.

Opening Draw: The Numbers

2/100

Blanks in bag

13.3%

P(≥1 blank in 7)

0.4%

P(both blanks in 7)

1 in 7.5

Games with blank T1

With 2 blanks among 100 tiles, drawing 7 gives you a 13.3% chance of getting at least one blank. The exact calculation uses hypergeometric probability: P(at least 1) = 1 − C(98,7)/C(100,7) ≈ 0.133.

💡 Both Players Combined

Between both players drawing 7 tiles each (14 total from 100), the probability that at least one player gets a blank is approximately 25.5%. About 1 in 4 games starts with someone holding a blank.

When Will the First Blank Appear?

Tiles Drawn (Total)	Approx Turn	P(≥1 blank drawn)	Expected Blanks Out
14 (both open)	Turn 1	25.5%	0.28
28	Turn 3	45.7%	0.56
42	Turn 5	62.1%	0.84
56	Turn 7	75.2%	1.12
70	Turn 9	85.3%	1.40
84	Turn 11	92.8%	1.68

By turn 5 (42 tiles drawn total), there's a 62% chance at least one blank has surfaced. The expected turn for the first blank appearance is around turn 3-4.

Why Blanks Are Worth ~25-30 Points Each

✓ With Blank

Bingo probability: 30-35%. Expected value from bingo bonus: +50 points. Total EV of holding blank: 25-30 points through increased bingo frequency.

✗ Without Blank

Bingo probability: 8-12%. Must rely on specific letter combinations. Much harder to find 7-letter words without wildcard flexibility.

Face value

25–30

Expected value

3–4×

Bingo rate increase

Bingo bonus points

Strategic Implications

Never waste a blank on a low-scoring play: Using a blank for 20 points when you could wait and bingo for 70+ is a major error. Blanks should almost always be saved for bingos.

Track blank usage: Once both blanks are played, bingo probability drops for everyone. This shifts the game tempo from bingo hunting to maximizing individual play scores.

Blank + S = ultimate combo: A blank designated as S gives you both a wildcard and the most powerful hook letter. Keep S-shaped blanks in reserve unless the bingo is immediate.

Blank + Bingo Probability by Rack Quality

Rack Composition	P(Bingo) No Blank	P(Bingo) With Blank	Multiplier
Random rack	8%	30%	3.75×
Good rack (SATIRE-like)	15%	45%	3.0×
Poor rack (VWUUC-like)	2%	12%	6.0×

🎯 Summary

You'll draw at least one blank in your opening hand 13.3% of the time (1 in 7.5 games). Each blank is worth approximately 25-30 points in expected value because it multiplies your bingo probability by 3-4×. Never waste blanks on low-value plays — save them for bingos. Track when blanks are played to adjust your strategy.

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