Two non-standard six-sided dice are to be rolled. The first die has the numbers 1, 1, 2, 3, 4, 5 printed on its faces (notice 1 is repeated); the second has the numbers 1, 2, 3, 3, 4, 5 (this time 3 is repeated). (Hint: it may be helpful to imagine that the two faces with the same number are painted different colors). 1. What is the experiment?
2. What is the sample space?
3. What is the size of the sample space? (How many elements?)
4. Describe an event that consists of least two outcomes. Assume that the die are fair, so each of the six sides is equally likely to be face up. Let p denote the probability distribution for the experiment.
5. What is p((2,5))?
6. What is p((5,2))?
7. What is the probability of rolling a die sum of 3?
8. What is the probability that the first die will show a 5?
9. What is the probability of the first die showing 3 and the second showing 5?
10. What is the probability of rolling a die sum of 8?