Lue is rolling a random number cube. The cube has six sides, and each one is labeled with a different number $1$ through $6$.  

1. What is the probability that he will roll a $5$ or a $3$ on one roll?

   Hint 1 (a):

   Each number has an equal probability of being rolled. Since there are $6$ total sides, what is the probability of getting any number?

   Hint 2 (a):

   Each number has a one-in-six probability of being rolled. Since we can roll either a $5$ or a $3$, we can add the probabilities of these two numbers together.

   More Help (a):

   $\frac{1}{6}+\frac{1}{6}=?$

2. What is the probability that he will roll a $5$ and then a $3$ in two rolls?

   Hint (b):

   There is a one-in-six probability of Lue rolling a $5$ in the first roll, and there is a one-in-six probability of him rolling a $3$ in the following roll. Since the order of the numbers rolled must be taken into account, we must multiply these two numbers together.

   More Help (b):

   $\left(\frac{1}{6}\right)\left(\frac{1}{6}\right)=?$

3. What is the probability that he will roll a sum of $12$ in two rolls?

   Hint (c):

   See part (b).