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Posted by **Terri** on Sunday, May 13, 2012 at 12:58pm.

A. Are the events E and F mutually excluseve?

B. Are the evnts # and F complementary?

- Math -
**MathMate**, Sunday, May 13, 2012 at 3:10pmOut of the possible numbers (in the sample space), if you cannot represent both events (odd and even) by a single outcome, then the events are mutually exclusive. In this case, we cannot have a number which is both odd and even, so E and F are mutually exclusive.

Events A and B are complementary if they are

1. mutually exclusive, AND

2. A∪B make up the sample space.

In the case of E and F, the sample space is

Ω={1,2,3,4,5,6},

E={2,4,6}

F={1,3,5}

so

E∪F={1,2,3,4,5,6}=Ω

Therefore E and F are complementary.

- Math -
**Terri**, Monday, May 14, 2012 at 10:23amThank you

- Math -
**MathMate**, Monday, May 14, 2012 at 12:36pmYou're welcome!