A short story written by NBC writer/producer/director Ted Kneeland was the original inspiration for the plot.
The actual chance of a coin landing on edge is 1 in 6,000.
One of two consecutive TZ episodes to star a future Bewitched (1964) regular, in this case Dick York. The previous episode The Invaders (1961) starred Agnes Moorehead.
The title comes from the old English expression "A penny of your thoughts" which dates back to John Heywood's compilation of proverbs "A Dialogue Containing the Number in Effect of all the Proverbs in the English Tongue." Ironically it is a quarter and not a penny (as used in the title) that stands on edge and allows Hector to read other people's thoughts.
Dick York stars alongside Dan Tobin in this episode. Tobin would frequently guest star alongside York in Bewitched (1964).