1. Consider a three sided coin with outcomes a, b, and c having unknown probabilities p(a), p(b), and p(c), respectively. (a) Devise a means of using two flips of this three sided coin to simulate flipping a fair two sided coin. This should maximize the number of bits generated per flip of the three sided coin. (b) Can 3 flips of the three sided coin be used to increase the number of bits generated per flip compared to 2 flips? (c) Can 4 flips of the three sided coin be used to increase the number of bits generated per flip compared to 2 flips?