Question: 2. 9 persons enter randomly 3 different rooms (with a probability 1/3 each). What is the probability that: (a) the first room has 3 persons?

2. 9 persons enter randomly 3 different rooms (with a probability 1/3 each). What is the probability that: (a) the first room has 3 persons? (b) every room has 3 persons? (c) the first room has 4 persons, the second room 3 persons, and the third room 2 persons? (d) the three rooms contain 4, 3, and 2 persons (but we don't know which particular room has 4 persons, for example)

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