[dread78645]

I'm neither a mathemetician nor a biologist, but it is the occurence of an event that is both ordered and hugely unlikely to occur.

Agreed and False.

Thus, for instance, if I were to place 27 ping pong balls in a vessel, 26 of them with a different letter of the alphabet and the 27th blank, withdrew one at a time, ...

I just dealt out 52 playing cards:

J-Clubs, K-Diamonds, 7-Spades, Q-Hearts
A-Clubs, 2-Hearts, 9-Clubs, 3-Hearts
A-Hearts, 3-Spades, 10-Hearts, K-Spades
3-Diamonds, 2-Diamonds, Q-Spades, 7-Clubs
4-Clubs, J-Hearts, 5-Hearts, 10-Diamonds
8-Spades, 6-Hearts, 9-Diamonds, Q-Clubs
Q-Diamonds, 6-Clubs, 8-Hearts, 2-Spades
9-Spades, 8-Clubs, 4-Hearts, J-Spades
3-Clubs, 5-Spades, J-Diamonds, A-Diamonds
10-Clubs, 7-Hearts, 2-Clubs, 4-Diamonds
6-Diamonds, 6-Spades, K-Clubs, 8-Diamonds
5-Clubs, 9-Hearts, A-Spades, 4-Spades
10-Spades, 5-Diamonds, 7-Diamonds, K-Hearts

Wow! What are the odds of that happening ...

[Mr. Lucky]

You prove the basis of the filter. Your result was gibberish, not independently specified.

Have someone else attach a significance to each card and then repeat the process. If the new result remains gibberish, the draw was most likely random; if there is an objective message in the draw, the result was likely not random.

[Ichneumon]

I just dealt out 52 playing cards: [snip] Wow! What are the odds of that happening ...

The odds are 80,658,175,170,943,878,571,660,636,856,403,766,975,289,505,440,883,277,824,000,000,000,000 to 1. It's a miracle!!

[WildTurkey]

I just dealt out 52 playing cards:

J-Clubs, K-Diamonds, 7-Spades, Q-Hearts
A-Clubs, 2-Hearts, 9-Clubs, 3-Hearts
A-Hearts, 3-Spades, 10-Hearts, K-Spades
3-Diamonds, 2-Diamonds, Q-Spades, 7-Clubs
4-Clubs, J-Hearts, 5-Hearts, 10-Diamonds
8-Spades, 6-Hearts, 9-Diamonds, Q-Clubs
Q-Diamonds, 6-Clubs, 8-Hearts, 2-Spades
9-Spades, 8-Clubs, 4-Hearts, J-Spades
3-Clubs, 5-Spades, J-Diamonds, A-Diamonds
10-Clubs, 7-Hearts, 2-Clubs, 4-Diamonds
6-Diamonds, 6-Spades, K-Clubs, 8-Diamonds
5-Clubs, 9-Hearts, A-Spades, 4-Spades
10-Spades, 5-Diamonds, 7-Diamonds, K-Hearts

Wow! What are the odds of that happening ...

I would say that if you dealt it, the odds of it happening would be .... 100%!