Randomness

Hi,

I presume there is a single number which measures randomness of a dataset -
and for this query, I'll assume it goes from 0 to 1.

Assuming this, if I was to open a brand new pack of cards, which are in
sequence (doesn't matter which sequence) - the randomness would be random=0.

If this pack was now ordered in such a way to produce as random an
arrangement as possible, i.e. random=1. My preferred method of ordering the
pack would be to generate the first 52 integers in a random sequence and
than map this sequence to the ordered pack.

Now - my real question. If we started with a pack which wasn't at random=0,
what would be its randomness be if we applied the same mapping? What about
if random=1 already, what would happen.

The reason I ask, when playing some card games, certain cards group together
and I was curious as to the randomness of the pack before and after such a
game.

Cheers.

Kev