One die is rolled. list the outcomes comprising the following events:

1) event the die comes up at most 2
2) event the die comes up 3
3) event the die comes up even

Probability = number of favorable events / number of total possible events

1) Event the die comes up at most 2

- favorable events: face up = 1 and face up = 2 => 2 events.

- possible events: face up 1 or 2 or 3 or 4 or 5 or 6 => number of possible events = 6

Probability = 2 /6 = 1/3

2) Event the die comes up 3.

- number of favorable events = 1

- number of possible events = 6

Probability = 1 / 6

3) Event die comes up even

- favorable events : face up 2, 4 and 6

- number of favorable events = 3

probability = 3 /6 = 1/2