A theoretical question about cards shuffling and increasing entropy.

[sao123]

background:
reading a discussion on how shuffling increases entropy within a deck of cards, was pretty interesting.
https://www.reddit.com/r/askscience...statistics_how_do_you_measure_the_entropy_in/

Using guiding principal #1:
For any fixed finite number of shuffles, no matter how large, shuffling does not produce complete randomness. Max entropy can only be obtained by infinite shuffling. Thus for any state of shuffled cards, it is always possible to increase the amount of entropy.

Does a deck containing only a single card defy this principal?
Can it be proven to always be at maximum entropy and thus unable to be shuffled?

 

[BrainEater]

This is way above my pay grade ,but here yah go.

Yes , that principle does not apply to one card.One card is NOT a deck , and cannot be 'shuffled'.

It's the endpoint of the graph , on the other side of infinity.

😀

 

[WHAMPOM]

You're asking what is the sound of one hand clapping?