I only have two things to say.
[One]
Think about this, randomly order the set of numbers 0 to 9

The chance of this "2,6,5,9,1,4,0,7,3,8" random order appearing is 1 in 3628800
and This is not a random order "0,1,2,3,4,5,6,7,8,9" its chance of appearing is also 1 in 3628800

The chance of getting an ordered responce is as likely as any other abitary random order.
(please read carefiully before telling me im wrong)

[two]
I disagree with weighted sides of a real world coin.

The differing "weight" of the sides of a coin well not effect the randomality of the side it lands on, becuase this, the fact is a coins differing face weights are so small all that happens is there is a minute off setting from center of the coins center of gravity (center point of the spinning coin), so infact there is no weight difference, also the fact that the coin impacts to the surface its landing on while still spinning, (a spin that doesnt slow down for one "heavier side" and speedup for a "lighter side") means the randomality of what side it lands on is still 50%.
PS : Im ignoring all chaos elements such as air resistence/magnetic/orbital/physic/god invulencing the outcome