1. Nick Bulinski

2.  A six-sided die (whose faces are numbered 1 through 6, as usual) is known to be counterfeit: The probability of rolling any even number is twice the probability of rolling any odd number. What is the probability that if this die is thrown twice, the first roll will be a 5 and the second roll will be a 6?

4.  Solving this problem boils down to finding the right probability distribution then multiplying the probability of getting a 5 by the probability of getting a 6.  To do this we take advantage of the fact that the probability distribution needs to add up to 1.