This is the expression:

((x * dumb) + smart) -------------------- dumb |

where x represents the probability of a desired effect occurring through blind luck alone, without human intervention, smart represents the influence on the final probability of human intelligence, and dumb representing the influence of human stupidity on the desired outcome.

This can be simplified to:

(x * dumb) smart ---------- + ----- dumb dumb |

In the first part, the dumb above and below the line cancel each other out, leaving just x behind, thus:

smart x + ----- dumb |

Now, in an equation, where y represents the final (and greatly desired) outcome, the expression looks like:

smart y = x + ----- dumb |

Suddenly, I realised what this equation means. As dumb tends towards infinity, the smart / dumb part of that equation tends towards zero.

What this means is that,

**no matter how smart you are, against the entire weight of human stupidity none of your smarts are going to make a blind bit of difference.**

All you can hope for is that events happen the way you want through sheer blind luck, is all.

QED

I'm calling this

**Alexander's Theorem**.