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2025-12-16 19:52:12 UTC
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John Carlos Baez on Nostr: nprofile1q…3v6hh - The chances are 1/2¹⁰ and 1/6⁴, respectively. I know 2¹⁰ ...

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The chances are 1/2¹⁰ and 1/6⁴, respectively. I know 2¹⁰ = 1024, but what's 6⁴? I have a vague memory that it's 1296, but let me think. It's 36 squared. I guess just multiply it out in my mind. 6 times 6 is 36, 6 times 30 is 180, 30 times 30 is 900, 900 + 180 + 180 + 36 = 1080 + 180 + 36 = 1260 + 36 = 1296. Okay, good. So it's more likely to roll 10 heads than to roll four 6's.

I'm worrying about 6³ and worked out that it's 216. Sounds very familiar. I used to know these numbers better!