Probability in Case of 3 Identical Notebooks
What was the case?
Let's name peoples as Person - 1, Person - 2, Person - 3 and their notebooks as Notebook - 1, Notebook - 2 and Notebook 3 respectively.
Now there can be 6 ways 3 notebooks can be distributed among 3 persons like below.
(Here, for convenience, 3 different colors are assigned to the notebooks of 3 persons.)
As we can see, there are only 2 cases, where the each of person not getting own notebook. In rest of cases, at least 1 person got own notebook & notebooks of others are shuffled between 2.
So the probability that none of the three people pick up the notebook that they started with is 2/6 = 1/3.
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