Originally Posted by accountinquestion View Post
If you plot the value of a coin flip it'll be a point too.
That is incorrect.

You are confusing the results, for when each trial is a series of coin flips, and the plotted values are the proportion of heads (or tails) for the trial, with the results when the trial (and plotted values) are individual flips.

If there are only 2 possible outcomes for a random trial (heads or tails) then what point would the outcomes converge to?

For a non-random event (such a football pass) there are a number (greater than 2) of possible outcomes for the distance between the pass and the target.

If you plot the outcomes of individual trials, for 80% of the passes, the distance will be zero...the pass hits the target.

That's not a random distribution.

For the remaining 20% the accuracy won't resemble a random distribution either.

The plotted values will cluster such that the representation appears to be a point.

That won't happen with fair coin flips, the results will not converge to a point.

Throwing a pass is not a random act, there is no representation of random elements involved that can reasonably characterize the act as random over a large number of trials.