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10-58.

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 surface? 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: 10-58 HW eTool (CPM)