Question

A number cube has faces numbered 1 to 6.

What is true about rolling the number cube one time? Select three options.

S = {1, 2, 3, 4, 5, 6}
If A is a subset of S, A could be {0, 1, 2}.
If A is a subset of S, A could be {5, 6}.
If a subset A represents the complement of rolling a 5, then A = {1, 2, 3, 4, 6}.
If a subset A represents the complement of rolling an even number, then A = {1, 3}.

Answer 1

The true statements are:

- S = {1, 2, 3, 4, 5, 6}
- If A is a subset of S, A could be {5, 6}
- If a subset A represents the complement of rolling a 5, then A = {1, 2, 3, 4, 6}

Reason: A subset of S cannot contain 0, so {0,1,2} is not allowed. The complement of rolling an even number (2,4,6) is {1,3,5}, not {1,3}.