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Probability Thread

YaleZ1023

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Sep 23, 2020
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I just have to say this:

WOLFRAM ALPHA IS AMAZING

That is all.



That's actually quite funny. But how exactly were the odds of dying calculated?
After solving centers then edges, you most likely can't keep track of the scramble. Scramble was legit.
Hello, just thought somebody saying X said X said etc. looked cool.
 

Jeff Dunham

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Sep 22, 2019
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I asked in the probability thread the probability of having a WV case at last slot , and the answer turned out to be about 1/150.
But in practice, since a lot of f2l algs involve an (R U' R') insert at the end, I'd imagine that WV would actually appear more than 1/150 of the time.

So when actually solving, does WV appear a decent amount in cases where it is justified to use it? Like at least 1/50 chance?
 
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I'm A Cuber

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Jan 28, 2020
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I asked in the probability thread the probability of having a WV case at last slot , and the answer turned out to be about 1/150.
But in practice, since a lot of f2l algs involve an (R U' R') insert at the end, I'd imagine that WV would actually appear more than 1/150 of the time.

So when actually solving, does WV appear a decent amount in cases where it is justified to use it? Like at least 1/50 chance?
You will have a wv case 1/8 times
Edit: but you can influence eo to make it slightly more common
 
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SpeedyCube

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Aug 21, 2020
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What are the chances of skipping PLL on a 2x2? I just got a 9.65 seconds for the first time, and part of it was no PLL except for turning the top layer one turn, which I don’t personally count as PLL. And, regardless of wether I mix the cube or the computer scrambles, I end up skipping the PLL quite often, I would think about 1/10 or more of the time. Is there a mathematical way to determine this?
 

Q--

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I'm not sure either
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What are the chances of skipping PLL on a 2x2? I just got a 9.65 seconds for the first time, and part of it was no PLL except for turning the top layer one turn, which I don’t personally count as PLL. And, regardless of wether I mix the cube or the computer scrambles, I end up skipping the PLL quite often, I would think about 1/10 or more of the time. Is there a mathematical way to determine this?
Yep! It occurs 1/6 of the time. Here’s the math:

The corners when oriented can be arranged in 24 ways (4 places for the first corner times 3 places for the second times 2 places for the third and 1 for the last.) Considering all 4 possible AUFs brings it down to 6 (24/4).
Out of six possible arrangements, 4 are Adjacent, 1 is diagonal, and 1 is solved. Therefore the odds of a PLL skip are 1/6.
 
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