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?

There are 10 digits and 26 lowercase letters, for 36 possible characters. For exactly one digit, choose which of the four positions contains it, then multiply the probabilities: 4 × (10/36) × (26/35) × (25/34) × (24/33) ≈ 0.441. That is about 44 percent, so the correct choice is C, 44 percent.

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