Exact model
Guess a six-word random passphrase
- Probability:
- 4.52 × 10⁻²²%
- Odds:
- 1 to (2.21 × 10²³)
- dBan
- −233.4 dBan
Six ordinary words can form a surprisingly difficult secret when they are chosen at random. One guess has to match every word in the right order.
Calculation
p = 1 / 7,776⁶ = 1 / 221,073,919,720,733,357,899,776
Assumptions
Each word is sampled independently and uniformly from 7,776 words. Order matters, words may repeat, and the probability covers one independent guess.