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10-67.

When the net below is folded, it creates a die with values as shown. 10-67 HW eTool (CPM). Homework Help ✎

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

Review the Math Notes box in Lesson 10.2.1.

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

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.

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

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

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.