nprofile1qyt8wumn8ghj7un9d3shjtnyd968gmewwp6kytcqyrum637w2n7dzgw4dsyjdjsz8jt3me0nrdctfmfcqewprvgtlj3wuh3v6hh (nprofile…v6hh) the probability of the coins is, as others have noted, just 1/2¹⁰, and the probability of the dice is 1/6⁴. now, i want to know which of 2¹⁰ and 6⁴ is larger. first, note that 6⁴ = 2⁴3⁴, so i just need to know which of 2⁶ and 3⁴ is larger. then, i observed that since √2 ≈ 1.4, this means that 2√2 < 3, but (2√2)⁴ = 2⁶, ergo 2⁶ < 3⁴, and the coin flips are likelier!
this seems to be a more circuitous route than some other people have taken, but it was fun to do it in a way that doesn't require any mental multiplication or knowing a bunch of powers off the top of your head, especially since i have a terrible memory for that sort of thing
Morgan Arnold
npub1uk…aauja
2025-12-16 20:55:37 UTC
in reply to nevent1q…slg7
Author Public Key
npub1ukp2yqn3atafgxsldwv7483qu6mmvl7s5lgeqtararwzqucgwkuqlaaujaSeen on
wss://relay.ditto.pubPublished at
2025-12-16 20:55:37 UTCEvent JSON
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"content": "nostr:nprofile1qyt8wumn8ghj7un9d3shjtnyd968gmewwp6kytcqyrum637w2n7dzgw4dsyjdjsz8jt3me0nrdctfmfcqewprvgtlj3wuh3v6hh the probability of the coins is, as others have noted, just 1/2¹⁰, and the probability of the dice is 1/6⁴. now, i want to know which of 2¹⁰ and 6⁴ is larger. first, note that 6⁴ = 2⁴3⁴, so i just need to know which of 2⁶ and 3⁴ is larger. then, i observed that since √2 ≈ 1.4, this means that 2√2 \u003c 3, but (2√2)⁴ = 2⁶, ergo 2⁶ \u003c 3⁴, and the coin flips are likelier!\n\nthis seems to be a more circuitous route than some other people have taken, but it was fun to do it in a way that doesn't require any mental multiplication or knowing a bunch of powers off the top of your head, especially since i have a terrible memory for that sort of thing",
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