Skip to content
Calcrivo

PIN Strength Calculator

Score a numeric PIN against both blind guessing and an attacker who tries the most common PINs first.

Inputs

digits
attempts
%

18.6 % is the real-world share held by 1234, 1111 and 0000 across leaked four-digit PIN sets.

Chance the PIN Is Guessed

18.624%

Possible PINs

10,000PINs

PIN Entropy

13.29bits

Chance Against a Truly Random PIN

0.0300%

Risk Band

Medium

Step by step

  1. Values used

    PIN length = 4 digits; Attempts allowed = 3 attempts; Attacker tries common PINs first = Yes; Share of users covered by those guesses = 18.60 %

  2. PIN Strength

    blind guessing: P = attempts ÷ 10^length. Informed guessing: P = common-PIN share + (1 − share) × attempts ÷ 10^length.

  3. Chance the PIN Is Guessed

    = 18.624

  4. Possible PINs

    = 10,000 PINs

  5. PIN Entropy

    = 13.29 bits

  6. Chance Against a Truly Random PIN

    = 0.0300

  7. Risk Band

    = Medium

How it works

A four-digit PIN has 10,000 combinations and 13.29 bits, so three blind guesses succeed 0.03 % of the time. Human choice destroys that: leaked PIN datasets show 1234 alone accounts for about 10 % of PINs, and the top three cover roughly 18.6 %, so an attacker who starts there beats the blind figure by nearly a thousandfold. PINs guard phones, SIMs and bank cards on a three-attempt budget, and the gap between the theoretical and the observed guess rate is the entire argument for blacklisting common values.

Formula

PIN Strength

blind guessing: P = attempts ÷ 10^length. Informed guessing: P = common-PIN share + (1 − share) × attempts ÷ 10^length.

10^length
10,000 for a four-digit PIN
common-PIN share
Fraction of real users whose PIN is among the attacker's first guesses

Frequently Asked Questions

How is PIN Strength calculated?

blind guessing: P = attempts ÷ 10^length. Informed guessing: P = common-PIN share + (1 − share) × attempts ÷ 10^length. A four-digit PIN has 10,000 combinations and 13.29 bits, so three blind guesses succeed 0.03 % of the time. Human choice destroys that: leaked PIN datasets show 1234 alone accounts for about 10 % of PINs, and the top three cover roughly 18.6 %, so an attacker who starts there beats the blind figure by nearly a thousandfold.

Why does PIN Strength matter?

PINs guard phones, SIMs and bank cards on a three-attempt budget, and the gap between the theoretical and the observed guess rate is the entire argument for blacklisting common values.

What values do I need to enter?

This calculator takes 4 inputs: PIN length, Attempts allowed, Attacker tries common PINs first, Share of users covered by those guesses. The pre-filled defaults are a realistic starting point — replace them with figures from your own environment for a result you can act on.

Does adding digits help?

Each digit adds 3.32 bits and multiplies the keyspace by ten, so a six-digit PIN drops blind guessing to 0.0003 % for three attempts. It does nothing about predictable choices — birth years dominate six-digit PINs the way 1234 dominates four-digit ones.

What is the single most effective PIN control?

A blacklist of the top few hundred PINs, combined with a hard attempt limit. That removes the entire informed-guessing advantage and leaves the attacker with the blind probability shown here.

You might also need