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 guesse

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).