Fun with Binomial Distributions

(from L to R) Portia Doubleday, Nate Torrence, Allison Janney, Matthew Perry, James Lesure, and Andrea Anders

On the new ABC sitcom Mr. Sunshine (a new Thomas Schlamme vehicle without Aaron Sorkin), all five Caucasian lead actors (Matthew Perry, Allison Janney, Andrea Anders, Portia Doubleday, and Nate Torrence) have piercing blue eyes.

Given that, according to Add Health, only 24.7% of Caucasian Americans have blue eyes, the exact binomial probability that this can happen by chance is .000919, less than one in a thousand. Just saying.