2
QuizMultiple Choice

Probability of Compound Events

Question 2 • Pre-Algebra B

Ahmad is choosing a password to access his teacher’s web page. He must choose a capital letter and three nonrepeating digits from 0 through 9. The letter can be in any position in the password. Which shows part of the sample space for Ahmad’s password?

Answer
A
A135, 135A, 1A35, 13A5
B
A113, A123, A133, A143
C
0A23, 0a23,02A3, 02a3
D
1234, 5678, 0246, 1357

Explanation

A password must contain exactly one capital letter and three different digits, with the letter allowed in any position. Choice A shows the same capital letter and three nonrepeating digits arranged in several positions: A135, 135A, 1A35, and 13A5. Choice B repeats digits, while C includes lowercase letters and D has no letters.

AI-written and checked against the verified answer.

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