### Home > CC1MN > Chapter 5 Unit 5B > Lesson CC1: 5.3.2 > Problem5-84

5-84.

Troy has a number cube with the numbers $1$ through $6$ on it. Assuming each side is equally likely to appear when he rolls the cube, find the following probabilities. Note: When two or more numbers are multiplied, each of the numbers is a factor of the product.

Remember that the probability of any event is:

$\large\frac{\text{Number of successes}}{\text{Total number of outcomes}}$

1. P(rolls a $2$)

There is only one way to roll a $2$ and there are six possible outcomes on any given roll.
Knowing this, can you write the probability of rolling a $2$?

1. P(rolls an odd number)

How many odd numbers are there from $1$ to $6$?

1. P(rolls a factor of $6$)

There are four factors of $6$: $1$, $2$, $3$, and $6$.
That means there are four possible successes.
Thus, the probability of rolling a factor of $6$ is

$\frac{4}{6}$ or $\frac{2}{3}$.