Exact model

Guess a manager-generated 16-character password

Probability:
2.1 × 10⁻²⁷%
Odds:
1 to (4.77 × 10²⁸)
dBan
−286.8 dBan

A single try at a random 16-character password of letters and digits is already staggeringly unlikely to land on the exact secret.

Calculation

p = 1 / 62¹⁶ = 1 / 47,672,401,706,823,533,450,263,330,816

Assumptions

Each character is sampled independently and uniformly from uppercase letters, lowercase letters, and digits. The probability covers one independent guess. Password-manager settings and account protections vary.

Sources

  1. NIST SP 800-63B: passwords and authentication
  2. NCSC: passkeys are the future published 23 April 2026
  3. EFF Surveillance Self-Defense: creating strong passwords