There are roughly 120 GM spots for major sports franchises in North
America. There are roughly 300 million people in the United States.
Let's assume that only 120 million are the proper age to be a GM (I
realize that I'm being extremely conservative w/ this number, but it
makes the math nice and easy). That means there's one in a million
chance that John Paxson would possess the skills required to be
considered good enough to be a GM.

There were roughly 30 point guard spots for NBA franchises in the
90's. The were roughly 250 million people in the United States.
Let's assume that only 30 million were the proper age (and gender) to
be a point guard in the NBA (I realize that I'm being extremely
conservative w/ this number, but it makes the math nice and easy).
That means there's one in a million chance that John Paxson would
possess the skills required to be considered good enough to be a GM.

The skills required to be a GM are mutually exclusive from the skills required to be a point guard.

1/1,000,000 x 1/1,000,000 = 1 billion (i think).

John Paxson is the luckiest man in the world!