A TV channel broadcasts a mixture of crime shows (50% of all shows), sci-fi shows (30% of all shows), and comedies (20% of all shows). 60% of the crime shows, 40% of the sci-fi shows, and 10% of the comedies feature "that guy" (pictured).

(a) (7 points.) Compute the overall probability that a show features "that guy". What result from the course are you using?

(b) (8 points.) If a randomly chosen show features "that guy", what is the probability it is a crime show? What result from the course are you using?

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