A number cube has faces numbered 1 to 6.

What is true about rolling the number cube one time? Check all that apply.

1 S = {1, 2, 3, 4, 5, 6}

2 If A is a subset of S, A could be {0, 1, 2}.

3 If A is a subset of S, A could be {5, 6}.

4 If a subset A represents the complement of rolling a 5, its sample space is A = {1, 2, 3, 4, 6}.

5 If a subset A represents the complement of rolling an even number, its sample space is A = {1, 3}.

Question

Mathematics

Gracie

5 October, 02:44

A number cube has faces numbered 1 to 6.

What is true about rolling the number cube one time? Check all that apply.

1 S = {1, 2, 3, 4, 5, 6}

2 If A is a subset of S, A could be {0, 1, 2}.

3 If A is a subset of S, A could be {5, 6}.

4 If a subset A represents the complement of rolling a 5, its sample space is A = {1, 2, 3, 4, 6}.

5 If a subset A represents the complement of rolling an even number, its sample space is A = {1, 3}.

+2

Answers (1)

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Bridger Barrett · Answer 1

Rollinfg a dice of six faces numbered one to six will give outcome of

S = (1,2,3,4,5,6) - so statement 1 applies

Statement 2 does not apply - the value '0' is not member of S

Statement 3 applies - any subset of S should have combination of member of S so it could be (5,6)

Statement 4 applies - the complement of rolling a 5 is rolling numbers that are not 5, so it is (1,2,3,4,6)

Statement 5 does not apply - the complement of rolling even numbers is rolling odd numbers, so the subset should be (1,3,5)