### Home > GC > Chapter 10 > Lesson 10.2.1 > Problem10-58

10-58.

When the net below 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 P(even)? P($1$)?

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

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

Review the Math Notes box in Lesson 10.2.1.

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

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

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

$\frac{5}{6} \cdot 60= 50$

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