Math  /  Data & Statistics

Question1. 12 donuts and 3 muffins were laid out on 5 plates in such a way that there are three cakes on each plate. a) Calculate the probability that there is a plate with at least two muffins on it. b) Assume that each muffin is on a different plate. From a randomly chosen plate we move one randomly chosen cake to a different plate. Calculate the probability that after this move, each muffin will still be on a different plate. c) Calculate the expected value of the number of muffins on the second plate.

Studdy Solution
Podsumowanie wyników:
a) Prawdopodobieństwo, że na jednym z talerzy znajdują się co najmniej dwie muffinki, wynosi 2325\frac{23}{25}.
b) Prawdopodobieństwo, że po przeniesieniu ciastka każda muffinka nadal będzie na innym talerzu, wynosi 45\frac{4}{5}.
c) Wartość oczekiwana liczby muffinek na drugim talerzu wynosi 35\frac{3}{5}.

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