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1. (16 points) Three friends (Avery, Ben, and Chris) put their names in a hat and each draws a name from the hat. (Assume Avery

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1. (16 points) Three friends (Avery, Ben, and Chris) put their names in a hat and each draws a name from the hat. (Assume Avery picks first, then Ben, then Chris.). HINT: You may want to consider two events happening (intersection of events) as a single event. a. Find P[Ben ~ Chris | Avery]. (8 points) b. Find P[Chris | Avery ~ Ben]. (8 points)

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