Simple dice questions. There are two dice.
Assume dice are fair.
What does the following probability represent:
It's $$\frac{1}{6} + \frac{1}{6} - \left(\frac{1}{36} \right)$$
What does this represent:
$$\frac{1}{6} \cdot \frac{5}{6} + \frac{1}{6} \cdot \frac{5}{6}$$
This represents the probability of rolling just a single $X$ (where $X$ is a specified number on the dice, not a combined value where $X$ is between $1$ and $6$) right?
What does this represent: $1- \left(\frac{5}{6} \cdot\frac{5}{6} \right)$
What does 
1/6 + 1/6 - 1/36 represent? Is this also the probability of rolling a single 6? If so, why do we subtract the 1/36 at the end (the probability of rolling both sixes). Don't we want to include that possibility since we're looking for the probability of rolling a single 6?

1> Same as 3. [but used the inclusion exclusion principle]
2> P[You get different outcomes on rolling the pair of dice twice]
3> P[you get a particular outcome atleast once]
