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Mile of Pi - Numberphile

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The team from Numberphile printed one million decimal places of Pi onto a piece of paper which stretched for over a mile. They rolled it out on a runway usually used for testing planes and cars.

The video discusses a man who memorised Pi to 67,890 digits. Imagine you know NOTHING about Pi, but have to GUESS each digit in order. Each time you get a digit wrong, you must start again from the first digit (and your memory of the previous attempt is erased). On average, how many "attempts" will it take until you correctly recite Pi to 67,890 digits, getting all of them right? Imagine throughout this process, you can speak at one digit per second. How LONG will this process take, including all the wrong attempts and then the successful one?

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