Question

a bag contains 4 red marbles, 2 blue marbles, 1 purple marble, and 3 green marbles.
if a single marble is pulled out of the bag, how many outcomes are in the sample space?

Explanation:

Step1: Calculate total marbles

Add number of each color: \(4\) (red) \(+ 2\) (blue) \(+ 1\) (purple) \(+ 3\) (green)
$$4 + 2+1 + 3$$

Step2: Simplify the sum

$$4+2 = 6, 6 + 1=7, 7+3 = 10$$

Answer:

\(10\)