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General Discussion / Re: Maths thread.
« on: April 11, 2020, 01:08:27 pm »
That’s how I understand it as well.
And, for hat problem number 1:
Decide ahead of time to always guess odd or always even. Then everyone is guessing the same hat distribution. This produces a 50% chance of victory, because there's an equal number of even and odd distributions.
I think this is the right idea, but there isn’t the same number of odd and even distributions. So we would actually have to check what are the odds of having an odd number of white hats, total, and compare with the odds of having an even number. Then everybody agrees to guess the hat color that leads to a total number of white hats that is odd/even, depending on their previous result.
No, see the exchange earlier with MiX and bitwise. bitwise is correct.
And, for hat problem number 1:
Decide ahead of time to always guess odd or always even. Then everyone is guessing the same hat distribution. This produces a 50% chance of victory, because there's an equal number of even and odd distributions.
saw the new one and uh that certainly was a star war.
episode X is gonna be nuts now that sarlacc gets to dual-wield lightsabers
i also enjoyed when the ewoks blew up a star destroyer
What a 95% confidence interval means is this: "if our poll's proportion of Yes (53.6%, for example) was also the actual proportion of Yes in the entire group of voters, AND we re-ran the poll and built a new CI of the same size; well then 95% of those intervals would also include the value 53.6%"
Which is a weird definition.
Yes, this is all correct. I could be missing some odd edge case, but there probably isn't a way to play a Tormentor without putting anything in play, especially with the recent rule change.
Let's say you open Cantrip/Steward. Now, if you draw that cantrip on turn 3 or 4, you draw down 11 cards instead of 10. The math is a bit nontrivial, but it works out to about a 1/11 chance of missing the Steward. breppert has the exact number in their Opening Probabilities article, if you are curious.
I missed you guys