F3L

[PEZenfuego]

Have you ever finished solving your f2l only to find that the last layer was already completely permuted and oriented?

I've done this 2 times in my entire cubing career. It only happened via random scrambling (both times when it was scrambled by someone other than myself.)

I was wondering if anyone knew what the odds were of this happening and if anyone else has experienced it, and how many times you have experienced it.

 

[cmhardw]

How much math do you know? The odds are based on the possible permutations of the corners, the possible orientations of the edges, and the fact that the permutation of the corners and edges must either both be even or both be odd.

Also consider how many possible states of the last layer you would consider to be "solved."

I don't want to give it away, try to see if that hint is helpful.

Chris

 

[PEZenfuego]

Great, you're turning a question about a puzzle INTO a puzzle. Fun fun

 

[Weston]

if you know a little about statistics and cubing, it shouldnt be too hard

 

[PEZenfuego]

I know there are 4 possible cases that I would consider solved, but I have no clue as to how many possible LL cases there are.

 

[4Chan]

If you were to use ZBF2L, your chances are multiplied greatly.

 

[Cyrok215]

I think theres 11xx some LL cases, It said it on Jessica Fridrich's Speed Cubing Page.

 

[Stefan]

I was wondering if anyone knew what the odds were of this happening

About 0.00643%.

 

[PEZenfuego]

HOLY CRAP!

That is much less than what I was expecting. I was thinking along the lines of of .25% or something lol.

Thanks for the answer. Is anyone else so lucky?

 

[4Chan]

My chances of LL skip are much higher than yours.

Even though im using only about 4 subsets of ZBF2L, im getting at least 3 a week.

 

[Johannes91]

(both times when it was scrambled by someone other than myself.)

If the F2L was much shorter than usual, it's very probable that the cube wasn't scrambled well and your solution was simply the scramble backwards.

If you want to read old discussions about this, try searching for "LL skip". That's the common term.

My chances of LL skip are much higher than yours.

Even though im using only about 4 subsets of ZBF2L, im getting at least 3 a week.

If edges are oriented correctly, the chance is exactly 8 times as high, which is about 0.00514%.

How many solves a week do you do‽

 

[PEZenfuego]

(both times when it was scrambled by someone other than myself.)

If the F2L was much shorter than usual, it's very probable that the cube wasn't scrambled well and your solution was simply the scramble backwards.

If you want to read old discussions about this, try searching for "LL skip". That's the common term.

See it's my bad.

I am an avid member of saltwaterfish.com, and this board is much similar (same setup). I know how annoying it is for newbies to ask questions that were already asked 400 times (I am a newbie here, but not on saltwaterfish.com).

Being the newbie that I am, I didn't realize that that was called LL skip and even though I did use the search function (honest) I didn't find anything. Thanks, for not :fping me.

 

[4Chan]

(both times when it was scrambled by someone other than myself.)

If the F2L was much shorter than usual, it's very probable that the cube wasn't scrambled well and your solution was simply the scramble backwards.

If you want to read old discussions about this, try searching for "LL skip". That's the common term.

My chances of LL skip are much higher than yours.

Even though im using only about 4 subsets of ZBF2L, im getting at least 3 a week.

If edges are oriented correctly, the chance is exactly 8 times as high, which is about 0.00514%.

How many solves a week do you do‽

Thousands.
(At least 300-400 a day)

I was quite serious, ive had 3 this past week.
I find that LL skips are unique and easy to remember.

I spend at least 4+ hours a day solving and setting up ZBLL cases that i know.

 

[Johannes91]

PEZenfuego: Nah, it's only annoying when searching for an answer would've been very easy and taken less than a minute. Since you didn't know what it's called and did search first, there's nothing wrong with creating a new thread.

I was quite serious, ive had 3 this past week.

But that's very different from "at least 3 a week".

 

[4Chan]

My apologies, you're correct.

Im just so hyped on the ZB method, i wanted to praise it.
Im sorry for exaggerating my results.

 

[phases]

This happened to me a couple days ago. I finished F2L and the whole cube was done. I was like, word.

 

[panyan]

HOLY CRAP!

That is much less than what I was expecting. I was thinking along the lines of of .25% or something lol.

Thanks for the answer. Is anyone else so lucky?

@0.00643%
that means, if you do 50 solves/day, the chances of getting F3L are about 117/year... which is pretty high i think

 

[fanwuq]

HOLY CRAP!

That is much less than what I was expecting. I was thinking along the lines of of .25% or something lol.

Thanks for the answer. Is anyone else so lucky?

@0.00643%
that means, if you do 50 solves/day, the chances of getting F3L are about 117/year... which is pretty high i think

You are only off by a factor of 100.

 

[PEZenfuego]

HOLY CRAP!

That is much less than what I was expecting. I was thinking along the lines of of .25% or something lol.

Thanks for the answer. Is anyone else so lucky?

@0.00643%
that means, if you do 50 solves/day, the chances of getting F3L are about 117/year... which is pretty high i think

You are only off by a factor of 100.

Yes. That would be 1.17 wouldn't it?

You multiplied 50 by 365 and then by 0.00643...not 0.00643%

That's the way I was looking at it...but I've been wrong before:confused:

But one in 85000 odds aren't very good. That's why when it happens, it feels like winning the lottery.

 

[elcarc]

ive only gotten full ll skip once