4
QuizMultiple Choice

Compound Events and Sample Space — Quiz

Question 4 • Grade 7 Mathematics

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

Explanation

The first digit must be from 1 through 9, and the remaining digits must be chosen from 0 through 9 without repeating a digit. In choice C, each PIN starts with a nonzero digit and has no repeated digits: 2345, 2034, and 2134. Choice A repeats 0, choice B starts with 0, and choice D repeats digits.

AI-written and checked against the verified answer.

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