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You and two of your friends go to the Multiplex to see a movie. There are...

  1. You and two of your friends go to the Multiplex to see a movie. There are two movies playing, A and B. Let the vector (x, y, z) represent the outcome in which you see Movie x, your first friend sees Movie y, and your second friend sees Movie z. Assume that everybody is going to see one of the movies. For example, (A, B, B) means you see movie A and both friends see Movie B.
    1. List all the possible outcomes in S.
    2. List the outcomes in which no one watches a movie alone.
    3. List the outcomes in which at least one person watches a movie alone.
    4. List all the outcomes in which you watch a movie alone.
    5. Do you think that all possible outcomes are equally-likely? Why or why not?
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