I seriously have to answer this?
OK, let's take two coin tosses:
HHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH
and
HHHHHHHTTTHTTTTTTHHTHHHTTTTHHHHHHHTTTTHTHTT
Which result strikes you as "not fair"? That is to say, which result is more likely due to interference than randomness?
Hmmm.....
Quite right.
If one had to plot the probability of fifty tosses having 25 heads, 26 heads up to 50 heads, one would find the the 25 heads would be in the center of the plot, and the 50 heads being at the least probable end of the plot.
Let us say the first round determined one of the universal constants.
If you were ask to bet on the the number of heads one would chose a number between 23 and 27. If one got 50 heads, there would be a demand for the coin to be checked.
Then if one asked for a second round (a second of the universal constants), and fifty heads turned up, it is not impossible, but it would be very suspicious.
So go for round 3 to determine a third constant. Now you bet on 50 heads but 50 tails turn up. Now one is puzzled because the coin is not rigged.
Round 4 and 50 tails turn up. None of this is impossible, but it seems rigged in some way. Instead of 50 tosses increase to 1million. Consistently 1 million heads and tails with each round SHOULD make one wonder.
If the constants need to have 1 million (or 10 to the power of a large number) heads (or tails) in a row to determine just the right value for each of the constants, then one SHOULD be very suspicious, even if the total number of heads in the whole sequence turns out to be equal to the number of tails.
After the sequence one can say that the odds of getting the sequence is 1:1 (a certainty) because it happened, but HOW and WHY it happened is debatable.