# What is the probability of getting your zip code when randomly generating five digits?

The probability of correctly guessing a ZIP code by randomly generating a five-digit number depends on a few factors. ZIP codes in the United States range from 00001 to 99950, representing various locations. However, not all five-digit combinations are in use as ZIP codes.

If we were to assume that any five-digit number could be a valid ZIP code, then the probability of guessing a specific ZIP code correctly with one random attempt would be 199950−1+199950−1+11​because there are 99,950 possible five-digit numbers that could be ZIP codes if we include the full range of 00001 to 99950.

Let’s calculate this probability.

The probability of correctly guessing a specific ZIP code by randomly generating a five-digit number, assuming all five-digit combinations are valid, would be 0.00001, or 1 in 100,000. However, not all five-digit combinations are used as ZIP codes, so the actual probability may differ slightly.​

# Calculate the probability of guessing a specific ZIP code correctly

# The range of possible ZIP codes if all 5-digit combinations were valid

possible_zip_codes = 99950 – 1 + 1

# The probability of guessing one specific ZIP code

probability = 1 / possible_zip_codes

probability

Result

1.0005002501250626e-05