# Question: 1 Given a fair six sided die what is the probability

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.

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.

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