We are independent & ad-supported. We may earn a commission for purchases made through our links.

Advertiser Disclosure

Our website is an independent, advertising-supported platform. We provide our content free of charge to our readers, and to keep it that way, we rely on revenue generated through advertisements and affiliate partnerships. This means that when you click on certain links on our site and make a purchase, we may earn a commission. Learn more.

How We Make Money

We sustain our operations through affiliate commissions and advertising. If you click on an affiliate link and make a purchase, we may receive a commission from the merchant at no additional cost to you. We also display advertisements on our website, which help generate revenue to support our work and keep our content free for readers. Our editorial team operates independently from our advertising and affiliate partnerships to ensure that our content remains unbiased and focused on providing you with the best information and recommendations based on thorough research and honest evaluations. To remain transparent, we’ve provided a list of our current affiliate partners here.

Is Spinning a Penny a Fair Way to Make a Random and Unbiased Decision?

Forget what you know about statistical probability. If Persi Diaconis and researchers at Stanford University are right, spinning a standard-issue penny (the one with the Lincoln Memorial, clean and shiny) will come up tails side up roughly 80 percent of the time -- not 50-50, give or take a percent either way, as we’ve all come to expect. The reason: The side with Lincoln’s head is a tad heavier than the other side, causing the coin’s center of mass to be slightly skewed. And so, the spinning coin tends to fall toward the heavier side more often, leading to significantly more “tails.”

Heads I win, tails you lose:

  • Diaconis warns that an older penny with built-up dirt and oils could sway the heads-or-tails outcome, one way or another.
  • A magician in his spare time, Diaconis also discovered that it requires either five or seven shuffles, depending on the criteria, to get a deck of cards into a mathematically random order.
  • Diaconis, a professor of mathematics and statistics, is author of “Magical Mathematics: The Mathematical Ideas That Animate Great Magic Tricks.”

Discussion Comments

By anon997356 — On Dec 23, 2016

That is not a decision.

WiseGEEK, in your inbox

Our latest articles, guides, and more, delivered daily.

WiseGEEK, in your inbox

Our latest articles, guides, and more, delivered daily.