Date: December 12, 2022

This is our third take on the card guessing game, riffle shuffle version. After finding the optimal guessing strategy (maximize the expected number of correct guesses) of the decks of n cards after k riffle shuffles (no feedback version) in the previous paper, we now look at the distributions of these number of correct guesses. The techniques that have been used are recurrence relations, the method of indicators and some interpolations. The paper is 18 pages with supplementary material of 9 pages. Enjoy!

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Paper: Symbolic moments of the no-feedback card guessing game

Supplmentary material

Accompanied Maple program: GenMoment

Sample Input-Output: Commands that were mentioned in the paper