12
practice testMultiple Choice

Practice Test

Question 12 • Geometry

A number cube has faces numbered 1 to 6 What is true about rolling the number cube one time? Choose three correct answers.

Answer
A
cap s is equal to 1 comma 2 comma 3 comma 4 comma 5 comma 6
B
If cap A is a subset of cap s , cap A could be start set 0 comma 1 comma 2 end set .
C
If a subset cap A represents the complement of rolling a 5 , then cap A is equal to 1 comma 2 comma 3 comma 4 comma 6 .
D
If a subset cap A represents the complement of rolling an even number, then cap A is equal to 1 comma 3 .
E
If cap A is a subset of cap s , cap A could be start set 5 comma 6 end set .

Explanation

The sample space for one roll is S = {1, 2, 3, 4, 5, 6}, so choice A is true. The complement of rolling a 5 contains every outcome except 5: {1, 2, 3, 4, 6}, making C true. A subset must contain only outcomes in S, so {0, 1, 2} is not a possible subset, and the complement of rolling an even number is {1, 3, 5}, not {1, 3}. But {5, 6} is a valid subset, so E is true.

AI-written and checked against the verified answer.

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