5
QuizMultiple Choice

Probability of Compound Events

Question 5 • Pre-Algebra B

Marissa is choosing a four-digit PIN for her ATM card. The first digit must be a digit from 1 through 9. For the other three digits, she can choose any combination of digits 0 through 9, but may not repeat a digit. Which shows part of the sample space for Marissa’s PIN?

Answer
A
0123, 0456, 0789
B
1012, 1033, 1004
C
2345, 2034, 2134
D
3200, 4200, 5200

Explanation

The first digit must be from 1 through 9, and no digit can be repeated. In choice C, 2345, 2034, and 2134 each begin with a nonzero digit and use four different digits. Choice A begins with 0, while choices B and D contain repeated digits.

AI-written and checked against the verified answer.

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