187 upvotes, 4 direct replies (showing 4)
It's the same probability for anyone with 12 tosses having any results in any order
Comment by 7--_--__-_--_7 at 09/03/2025 at 09:09 UTC*
113 upvotes, 0 direct replies
Yes but we don't care for them, as they don't seem unique in general
Comment by CheapSuccotash3128 at 09/03/2025 at 09:12 UTC
69 upvotes, 1 direct replies
But chances of not winning a single won are 1/4096
Comment by fiddler013 at 09/03/2025 at 11:12 UTC
4 upvotes, 1 direct replies
Yes. But think of it as an entropy problem.
This is a very ordered set of events. It’s a low entropy event.
A similar event in a very high variable system is all of air ending up in one half of the box.
Different information content between a number of heads and losses without any order. Or with some kind of order.
We study Black Holes with the same metric for the uninitiated.
Comment by Bonker__man at 09/03/2025 at 16:29 UTC
1 upvotes, 0 direct replies
Yeah but like ℙ (Heads = 1,2,3,...,11) > ℙ (Heads = 0)