[Scotty O]

A friend an I were talking about shuffling chips. He brought up a cool observation:

2 stacks of 2, 2 Reds 2 Green. Shuffle them perfectly with your hands and in 2 turns you will have 2 of the same colored stack.

Now 3 and 3, it takes 3 turns of a perfect shuffle to get the full colors back

Now 4 and 4, it takes 3 times.

Now 5 and 5, it seems you can never get them back? or Can you?

Just a visual:

G R
G R
shuffle to make
G
R
G
R
Split the pile
G G
R R
Shuffle
G
G
R
R
Split
G R
G R

Thoughts for math wiz's out there.