Question

identifying possible and impossible events
determine whether each event is possible or impossible on a 6 - sided cube where the numbers are 1 through 6.
rolling an 8
rolling an even number
rolling a 1
rolling a number greater than 10
rolling a number less than 7
possible
impossible

Explanation:

Step1: Analyze Rolling an 8

A 6 - sided cube has numbers 1 - 6. 8 is not in this set, so this event is impossible.

Step2: Analyze Rolling an even number

The even numbers between 1 - 6 are 2, 4, 6. So it is possible to roll an even number.

Step3: Analyze Rolling a 1

The cube has the number 1, so rolling a 1 is possible.

Step4: Analyze Rolling a number greater than 10

The numbers on the cube are 1 - 6, all less than 10. So this event is impossible.

Step5: Analyze Rolling a number less than 7

All numbers 1 - 6 are less than 7, so this event is possible.

Answer:

Possible: Rolling an even number, Rolling a 1, Rolling a number less than 7
Impossible: Rolling an 8, Rolling a number greater than 10