1. Given a fair, six-sided die, what is the probability of rolling the die twice and getting a 1 each time?
2. What is the probability of getting a 1 on the second roll when you get a 1 on the first roll?
3. The House managed to load the die in such a way that the faces 2 and 4 show up twice as frequently as all other faces. Meanwhile, all the other faces still show up with equal frequency. What is the probability of getting a 1 when rolling this loaded die?
4. Write the probability distribution for this loaded die, showing each outcome and its probability. Also plot a histogram to show the probability distribution.