### Home > GC > Chapter 11 > Lesson 11.2.3 > Problem11-105

11-105.

Mr. Kyi has placed $3$ red, $7$ blue, and $2$ yellow beads in a hat. If a person selects a red bead, he or she wins $\3$. If that person selects a blue bead, he or she loses $\1$. If the person selects a yellow bead, he or she wins $\10$. What is the expected value for one draw?

For expected value you need to find the probability of drawing each marble and multiply that probability by the amount you could win.
The expected value is the total of these 3 outcomes.

$\text{Expected value = }\frac{3}{12}(3) + \frac{7}{12}(-1) + \frac{2}{12}(10)$

Use the eTool below to graph the line.
Click the link at right for the full version of the eTool: 11-105 HW eTool (CPM)