chance of no parity = 1/4
3 rounds = 15 solves
(1/4)^15 = 9x10^-10 (roughly one in a billion)
6x6 has the same for LL parity, I don't know about edge parity during pairing though
The probability of OLL parity on each solve is a half. The probability of no OLL parities (or all OLL parities) in 15 solves is (1/2)^15 = 0.00003 (about 1/33000).What about just OLL parity?
I guess it would be half?
Chances of not getting parity in 3 rounds of ... 6x6?
That's exactly my thoughts--it felt absolutely surreal. Without thinking about the exact math, it occurred to me that I may be the only person in the world this has ever happened to. It seemed so unbelievable that I wondered if I'd remembered the solve wrong, and done more of the solve than I thought before getting a skip, but I clearly remember the final moves of the solve being L' U L R' U2 R, which guarantees that I'm right about it being a LS+LL skip as it affects more than one F2L slot.
When it comes to massive skips, I've been quite lucky. I've been cubing for less than two years, and I have at least 5 LL skips on 3x3, not even counting this one on 4x4, and not counting the one or two I've gotten on big cubes. I don't get lucky in other ways too often; I don't get an abnormally large number of PLL or OLL skips, but I've had a few incredibly lucky solves. Some people go 5 years without getting a single one of what I must have close to 10 of by now.
Agreed. I've never had a LL skip and I've been cubing for 2 years and 2 months.
If you know full OLS, what are the chances of a OLL skip?
....100%?
What is the probability of getting the 'perfect' BLD solve: no parity (this probability is 0.5 right?), no twisted pieces, no cycle breaks?
Do PLL occurrences change depending on what OLL algs you use. I'm seeing a lot of N perms.
Do PLL occurrences change depending on what OLL algs you use. I'm seeing a lot of N perms.
It depends on how you're running in to them. If you're seeing them occur in full solves (from completely scrambled state to solved), then its just chance, and the OLL you use has no effect on the PLL. If you're using an LL scrambler, then sometimes they only scramble certain ways that affect the probabilities of certain OLLs and PLLs arising.
The simplest answer is no, it doesn't affect your PLL. It's possible to use OLL to influence PLL, but you have to do it on purpose. You aren't doing that, and if you were, you would be using OLL to force good cases, in which case you'd get less N perms, not more. It's just bad luck.Do PLL occurrences change depending on what OLL algs you use. I'm seeing a lot of N perms.
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