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bio website wuerl.calepin.co
location Seattle, WA
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visits member for 2 years, 4 months
seen May 2 at 23:28
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aerospace engineer, Star Wars nerd, PowerPoint hater, and family barista, @wuerl


Jun
22
revised Sunrise vs. “Summon Eclipse” in Buffy the Vampire Slayer
edited tags
Jun
21
comment How many spins does it take to complete a game of Hi Ho! Cherry-O?
If you make the edit to the code and also put the link to the image in the body we'll edit the post for you. I'd recommend two runs: one for 1-player to prove your code matches the Markov result, and one for 2-player.
Jun
21
revised How many spins does it take to complete a game of Hi Ho! Cherry-O?
added Markov transition matrix to answer
Jun
21
comment How many spins does it take to complete a game of Hi Ho! Cherry-O?
You know what? Good point. The other simulations and the Markov chain example are all answering the question of how many spins it takes to amass 10 cherries, and now that I think about it, that is a totally different question than how many turns (i.e. each player spinning once) it takes to end the game. In fact, I think you're the only person to answer what is really the actual question being asked. I think we could validate your sim by running it with num_players = 1 and seeing if the results match the others.
Jun
21
revised Replacing center cards in Ascension
edited tags
Jun
21
revised How does DeGray's Pilebunker chip work when trashing Gems of size 2+?
edited tags
Jun
21
revised Protecting the surface of your board games…
edited tags
Jun
21
comment How many spins does it take to complete a game of Hi Ho! Cherry-O?
+1 for Markov chains, which is really the only way to analytically model this type of problem, and for finding prior art. I notice everyone else with a correct answer used a Monte Carlo simulation that they had to code up themselves. I wonder what was the fastest, C, Python, or Google. :)
Jun
21
comment How many spins does it take to complete a game of Hi Ho! Cherry-O?
I'm not sure what's wrong with your code, but it doesn't appear to be giving the right results. It sounds like you were attempting the same type of Markov chain approach mentioned in another answer. Perhaps the referenced paper can help.
Jun
21
revised How many spins does it take to complete a game of Hi Ho! Cherry-O?
embedded picture
Jun
20
reviewed Approve suggested edit on What is the “En passant” rule in chess?
Jun
20
comment How many spins does it take to complete a game of Hi Ho! Cherry-O?
Can you clarify your request for expected # of cherries? I don't think it's quite defined enough to give a mathematically precise answer. As you note, the expected value is heavily dependent on the number of cherries pre-spin. Averaging together these expected values wouldn't be useful, IMHO. A table of expected cherries as a function of cherries could be tabulated, but that would be heavily influenced (in a non-helpful way) by the possibility of losing all. I think much more useful would be the average change if you don't lose them all, as a function of # of cherries pre-spin.
Jun
20
awarded  Citizen Patrol
Jun
20
comment How many spins does it take to complete a game of Hi Ho! Cherry-O?
Sorry, have to downvote just because the things not modeled (i.e. impact of lose all cherries and not being able to have negative cherries) make this result mathematically incorrect.
Jun
20
revised How many spins does it take to complete a game of Hi Ho! Cherry-O?
clarified type of mean and technical name for graph produced
Jun
20
comment How many spins does it take to complete a game of Hi Ho! Cherry-O?
FYI, this is a question about probability, not statistics. I've re-tagged.
Jun
20
revised How many spins does it take to complete a game of Hi Ho! Cherry-O?
edited tags
Jun
20
revised statistics wiki excerpt
previous definition was describing probability, not statistics
Jun
20
revised game-design wiki excerpt
added a list of items that typically have to be created by a game designer
Jun
20
revised bidding wiki excerpt
broadened scope of summary to include all bidding-based games, not just bridge. Moved excellent bridge summary to wiki body and added similar examples for spades and Axis & Allies