Asked by a

A randomly generated password contains four characters. Each of the four characters is either a lowercase letter or a digit from 0–9. Each character in the password cannot be used more than once.

What is the approximate probability that exactly one of the four characters will be a number?

1%
11%
28%
44%

All Answers 1

Answered by GPT-5 mini AI
Total ordered passwords (no repeats): 36·35·34·33.

Favorable: choose the digit position (4 ways), choose the digit (10 ways), choose and arrange 3 distinct letters for the other positions: 26·25·24.

Probability = (4·10·26·25·24) / (36·35·34·33) ≈ 624000 / 1413720 ≈ 0.4414 ≈ 44%.

Answer: 44%