A little while ago I had the privilege of attending TEDx San Francisco, organized by the incomparable Christine Mason McCaull. One of the talks was by Mel Robbins, a riotously funny self-help author and life coach with a syndicated radio show. In it, she mentioned that scientists calculate the probability of your existing as you, today, at about one in 400 trillion (4×1014).
“That’s a pretty big number,” I thought to myself. If I had 400 trillion pennies to my name, I could probably retire.
Previously, I had heard the Buddhist version of the probability of ‘this precious incarnation’. Imagine there was one life preserver thrown somewhere in some ocean and there is exactly one turtle in all of these oceans, swimming underwater somewhere. The probability that you came about and exist today is the same as that turtle sticking its head out of the water — in the middle of that life preserver. On one try.
So I got curious: are either of these numbers correct? Which one’s bigger? Are they gross exaggerations? Or is it possible that they underestimate the true number?
First, let us figure out the probability of one turtle sticking its head out of the one life preserver we toss out somewhere in the ocean. That’s a pretty straightforward calculation.
According to WolframAlpha, the total area of oceans in the world is 3.409×108 square kilometers, or 340,900,000 km2 (131.6 million square miles, for those benighted souls who still cling to user-hostile British measures). Let’s say a life preserver’s hole is about 80cm in diameter, which would make
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