(Answered) Question 1 if n balls are placed at random into n cells

Statistics

Question: 1. If n balls are placed at random into n cells, find the probability that exactly one cell remains empty.

2. At a parking lot there are twelve places arranged in a row. A man observed that there were eight cars parked, and that the four empty places were adjacent to each other (formed one run). Given that there are four empty places, is this arrangement surprising (indicative of non-randomness)?

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