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Same as the question above: Consider the following variant of Homework #8: Given m = 3 distinct presents and n = 3 guests, the host

Same as the question above: Consider the following variant of Homework #8: Given m = 3 distinct presents and n = 3 guests, the host will give the presents out one by one randomly to one of the guests. Therefore it is possible that a guest may receive no presents, one present, or multiple presents. Let S = { | 1 i, j, k 3} be the sample space of all possible outcomes. For example, the <2, 2, 3> in S represents the possible outcome where the first two presents were given to guest #2 while the last present was given to guest #3. Answer the following probability questions assuming each possible outcome is equally likely. E1 is the event that guest 1 receives no present at all. E2 is the event that guest 2 receives no present at all. Pr(E1 E2) =

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