Which of the following events is a compound event?
A) rolling an even number greater than 4 on a 6-sided number cube
B) rolling an even number less than 3 on a 6 sided number cube
C) rolling an odd number less than 2 on a 6 sided number cube
D) rolling an odd number greater than 1 on a 6 sided number cube
What you need to know to solve this problem:
A simple event can occur only one way.
A compound event can occur more than one way.
A 6-sided number cube contains only the possible rolls {1,2,3,4,5,6}
A) rolling an even number greater than 4 on a 6-sided number cube.
There is only one even number greater than 4 on a 6-sided number cube,
which is 6, therefore this is a simple event, not a compound event.
B) rolling an even number less than 3 on a 6 sided number cube
There is only one even number less than 3 on a 6-sided number cube,
which is 2, therefore this is a simple event, not a compound event.
C) rolling an odd number less than 2 on a 6 sided number cube.
There is only one odd number less than 2 on a 6-sided number cube,
which is 1, therefore this is a simple event, not a compound event.
D) rolling an odd number greater than 1 on a 6 sided number cube
There are two odd numbers greater than 1 on a 6-sided number cube,
they are 3 and 5, therefore this is a compound event.
Answer: A), B), C) are simple, not compound events because they
can occur only one way. D) is a compound event because it can
occur in two ways.
Edwin