Question

A six-sided number cube is rolled. Event A consists of rolling an even number. Event B consists of rolling a number greater than four. Match the correct sample space to each event.

Answer 1

EXPLANATION :

From the problem, we have two events :

Event A : rolling an even number {2, 4, 6}

Event B : rolling a number greater than four {5, 6}

1. Union of A and B is the combination of Event A and B

Since there's a common element, 6, we will take this as one only.

That will be {2, 4, 5, 6}

2. Intersection of A and B is the common element between the two events.

So that is {6}

3. Complement of A is the set of elements that is NOT present in Event A.

Since a cube has 6 sides, the elements are {1, 2, 3, 4, 5, 6}

The complement of A will be {1, 3, 5}

4. Event B, from the data we have from above, B will have {5, 6}