03: Two square dice [***]

Wes Carroll's Puzzler

(Errata alert! This episode was re-uploaded with a correction on Monday March 28 at 10am PST. The corrected version is 6m04s long; the old one is 6m02s. Visit http://www.buzzsprout.com/56982 if your feed contains the old version.) // Here's a game you can play with two fair dice, one red and one green. You throw both dice, and use the throw to generate an infinitely long sequence of numbers, like this: first, you write down the red number. Then you add in the green number, write down the result, add the green again, write down that result, and so on. // You decide to play the game once today. What’s the chance that the sequence made by your dice throw will contain a perfect square? // Spiciness: *** out of ****