Iris is playing a game at the school carnival. There is a box of marbles, and each box has a white, a green, a red, and an orange marble. There is also a spinner separated into 4 equal sections. How many outcomes are in the sample space for pulling a marble out of the box and spinning the spinner?

9

8

16

18

Question

Iris is playing a game at the school carnival. There is a box of marbles, and each box has a white, a green, a red, and an orange marble. There is also a spinner separated into 4 equal sections. How many outcomes are in the sample space for pulling a marble out of the box and spinning the spinner?

 9

 8

 16

 18

calculusxy · Answer

For sample space, you might want to use a concept known as the Counting Principle. 
The Counting Principle states $a \cdot b$ where a is the possible outcomes for the first situation and b is the possible outcomes for the second situation.

calculusxy · Answer

We know that there is a box of marbles. There are 4 marbles in that box. (this can be situation a)

Then there is the spinner that is separated and is equally divided into 4 sections. (this can be situation b)

Now we just need to multiply (and basically just follow the formula).