[hamner]

First paragraph doesn't make since - if there are 5 flips, there are 2^5=32 possible outcomes. If the "odds are low that even one person in the audience guessed it" then I'd expect less than 16 people to be in the audience. However, "about a dozen people" did guess it, implying that the audience is in the hundreds (there are >10 "random" looking sequences of the 32).

[shasta]

It's possible. A distribution might have counts of 12,11,8,6,5,5,4,2,1,1,1,1,1,1,1. Odds of someone picking it are under 50%.