Probability of this...

[ShadenSmith]

So I was just doing some cubing and on 3 consecutive scrambles I ended up having an identical final CE pair (case, that is. not color), OLL, and PLL.

What is the probability of that happening? Does that happen more often than I think and just don't notice?

 

[Lucas Garron]

Consider the same slot for each.
Assuming random state at LS makes:

4/(5!*4!*3^4*2^4)

(AUF before last slot)/(number of states)

The chance for any LS+OLL+PLL matching the previous is thus 1/933120.
The chance for 3 in a row is the square, 1/870712934400.

However, I'm nearly certain you did different AUFs before OLL and before PLL, so multiply these by a factor slightly less than 16 and 256, respectively.

 

[ShadenSmith]

Sounds like I'm a lucky guy

 

[Hadley4000]

Bout as un likely as me having THREE LL skips. According to Chris Hardwick, the probability of that is 1/15,000. Yet I have done less than 75,000 solves.

 

[ThePizzaGuy92]

I had 5 V-perms in a row on my last average... I'd do the probability equation for this, but i dont know where my math notes are, lol

 

[Lucas Garron]

I had 5 V-perms in a row on my last average... I'd do the probability equation for this, but i dont know where my math notes are, lol

Assuming you only care about V-perm:

8/((1/18)^5)
=1/236196

(Note: Do NOT multiply by 21 or 22 for any silly reason.)

 

[RobinBloehm]

where does the 8 come from? do not laugh...exhausting day....

 

[FTF]

EDIT: Oops, never mind.

 

[Lt-UnReaL]

where does the 8 come from? do not laugh...exhausting day....

I'm wondering that myself... :x

 

[Swordsman Kirby]

where does the 8 come from? do not laugh...exhausting day....

I'm wondering that myself... :x

The 8 comes from where the 5-in-a-row is located.

 

[ROOT]

im only in algebra i have no idea what ! or ^ means in an equation. i prefer equations over everything else in math, but thats high school stuff i bet

 

[tim]

im only in algebra i have no idea what ! or ^ means in an equation. i prefer equations over everything else in math, but thats high school stuff i bet

No,
http://en.wikipedia.org/wiki/Factorial
http://en.wikipedia.org/wiki/Exponentiation

 

[brunson]

ROOT, We use ^ for exponentiation in forums like this because there's no way to do a superscript exponent. It's how it's done in many programming languages also.

 

[gboh19]

(firstly sorry to necro a thread)anyway,

I made some solves (just now hehe) and.. i do not know what the probability of this happening to some

3x3 scramble from cct

1. 17.48
2. 19.98
3. 17.48 ! (first happening)
4. 19.98 !! (second happening )

hehe

 

[Novriil]

heh My friend solved a cube. What's the probability of that? And btw he don't know how to solve it and he turned it first time of his life It was totally scrambled cube.

 

[kjcellist]

heh My friend solved a cube. What's the probability of that? And btw he don't know how to solve it and he turned it first time of his life It was totally scrambled cube.

Did you actually see your friend solve the cube?

 

[Hadley4000]

Is it just me, or have a lot of old topics been bumped recently?

 

[Novriil]

heh My friend solved a cube. What's the probability of that? And btw he don't know how to solve it and he turned it first time of his life It was totally scrambled cube.

Did you actually see your friend solve the cube?

Yes I did. The cube was scrambled and he tried to scramble it more. when he saw, that it was almost together. He tried to scramble so much that I could solve it but suddenly he made two moves and it was solved

 

[Logan]

wow. That's never happened to me.

 

[ThatGuy]

really ill guy with 102-103 fevers: It's not you.