Probability that exactly one box is empty
Each of n balls is independently placed in one of n boxes, with all boxes equally likely. Compute the probability that exactly one box is empty? (Note that this is not asking about a specific box that is fixed before the balls are placed.)
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An experiment to determine the inheritance of flower color in snapdragons crossed two plants with pink flowers. The following progeny were recovered from the cross: 80 plants had red flowers, 152 had pink flowers, and 67 had white flowers
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