Question

A person rolls a regular 6-sided die once. Find the set representing the event E that an even number is rolled. Give your answer as a set, e.g. {1,2,3}, and do not include E= in your answer.

Answer 1

The set representing the event of rolling an even number on a six-sided die is {2, 4, 6}.

Step-by-step explanation:

When you roll a fair, six-sided die, each face of the die represents an equally likely outcome. The sample space S for a six-sided die is S = {1, 2, 3, 4, 5, 6}. The event E that represents rolling an even number comprises of those outcomes in the sample space that are even. Since a six-sided die has the even numbers 2, 4, and 6 on its faces, the set representing event E is therefore {2, 4, 6}.