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# Find the probability of these events using basic probability principles

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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 15% 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 80%. 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?

##### Solution Summary

This solution uses basic probability principles to find probabilities that Penn State sports fans are "Rabid" or "Casual", taking into account if they view the game live (Rabid) or if they view it at home (Casual). The solution provides a step-by-step process for finding the probability of any fan watching the game at home and for the probability that a fan is Rabid if they watch the game live.

##### Solution Preview

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 15% of Penn State fans are both Casual and watch the games at Home. If a fan ...

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