Question

At registration a student can select from Spanish or German class, as well as Art, Music, or Theater. What are all the possible outcomes? How many total outcomes are possible?

( Sample space )

Answer 1

6

Explanation:

Imagine 2 slots: in the first one, you have 2 things to choose from:

Spanish or German -> 2 possibilities.

In the second, you have 3: Art, Music or Theater -> 3 possibilities.

You will have to multiply these -> 2x3=6

(I also drew it down, it might help you understand better:

For example if you choose Spanish for the first slot, you still have 3 things to choose from for the second slot -> 3 possible outcomes with Spanish

Of course, the same applies if you choose German: you still have 3 things to choose from for the second slot -> 3 possible outcomes with German

--> you have 3 options for every language. Since you have 2 languages, that will mean 2x3