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.

1) Event A: 2, 4, 6
Event B: 5, 6
2) Event A: 6
Event B: 2, 4, 5, 6
3) Event A: 5
Event B: 2, 4, 5, 6
4) Event A: 2, 4, 5, 6
Event B: 1, 3, 5
5) Event A: 2, 4, 6
Event B: 2, 4, 6

Answer 1

The correct match for sample spaces for Event A (rolling an even number) and Event B (rolling a number greater than four) on a six-sided die is option 1: Event A consists of {2, 4, 6}, and Event B consists of {5, 6}.

Step-by-step explanation:

The question involves matching the correct sample space for two events when rolling a six-sided number cube (die). The sample space for a six-sided die is {1, 2, 3, 4, 5, 6}. Event A is the event of rolling an even number and consists of the outcomes {2, 4, 6}. Event B is the event of rolling a number greater than four and consists of the outcomes {5, 6}.

Therefore, the correct sample spaces in one of the options given should reflect Event A as {2, 4, 6} and Event B as {5, 6}. Matching these to the options, the correct one is:

• Event A: 2, 4, 6
• Event B: 5, 6

The correct answer is the first option, which corresponds to the given events.