Suppose there are two types of Penn State Sports fans: Rabid (R), and Casual (R'). These fans either view a big game Live (L) or at Home (L'). Suppose 60% of Penn State fans are both Casual and watch the games at Home. If a fan watches at Home, the probability that he/she is Casual is 95%. Finally, suppose 10% of fans are Rabid.
a. What is the probability of any fan watching the game at Home?
b. If a fan watches the game Live, what is the probability that they are Rabid?