### Home > CCG > Chapter 10 > Lesson 10.2.1 > Problem10-67

10-67.

When the net at right is folded, it creates a die with values as shown.

 $3$ $1$ $5$ $2$ $1$ $1$
1. If the die is rolled randomly, what is $\text{P}(\text{even})$? $\text{P}(1)$?

Review the Math Notes box in Lesson 10.2.1.

$\text{P}(\text{even})=\frac{\text{number of sides on die with even numbers}}{\text{number of sides on die}}$

2. If the die is rolled randomly $60$ times, how many times would you expect an odd number to land side-up? Explain how you know.

Find the number of expected instances by multiplying the probability of the event by the number of attempts.

$\text{P}(\text{odd})=\frac{5}{6}$
$\frac{5}{6} \cdot 60 = 50$

3. Now create your own net so that the resulting die has $\text{P}(\text{even})=\frac{1}{3}$, $\text{P}(3)=0$, and $\text{P}(\text{a number less than }5)=1$.

One-third of the die faces should show even numbers.

Test your ideas experimentally by clicking the die in the eTool below:
Click on the link at right to view the full version: CCG 10-67 HW eTool.