Suppose that A, B and C are three independent events such that P(A) = 1/4, P(B) = 1/3 and P(C) = 1/2.

a) What is the probability that none of these three events will occur?

b) Determine the probability that exactly one of these three events will occur.

9. Three players A, B and C take turns tossing a fair coin. Suppose that A tosses the coin first, B tosses the second and C tosses third and cycle is repeated indefinitely until someone wins by being the first player to obtain a head. Determine the probability that each of the three players will win.

 http://www.bilkent.edu.tr/~math250/Solution%20set2.pdf