A betting game:

Again a typical example of a permutation (the playing cards are permuted).
Remember:
The probability that at least one card lies on its old position is 63 % 
Analog: "Rencontre", using 52 playing cards: Leonhard Euler (1753),
also: The problem of the interchanged hats, coats, bags, letters ...
de Moivre (1718), Lambert (1771), Laplace (1812),
...