# How to determine if a Rubik's Cube is sufficiently scrambled?

Once I solve a Rubik's Cube I obviously want to start again. I just scramble it until it seems to be enough; however, sometimes when I then solve it, I can skip entire steps from the beginner's method. Is this normal or was the cube not scrambled enough? How can one determine if the cube is scrambled enough?

• there is always a chance that when you reach the end you can skip a step May 15 '14 at 11:26

Each set of moves is designed to correct a parity error in the cube's layout, but each group of parity it corrects is essentially independent and random. Each step has a chance of already having the right parity. For instance, the way I do it is solve the bottom two layers and then attack the parity errors on the top one at a time

• Make sure all the edges are right-side-up
• 3 possibilities
• Make sure the corners are in the right order
• 3 possibilities
• Make sure the corners are right-side-up
• Not exactly sure. 5?
• Make sure the edges are in the right order.
• Not quite sure either. 5?
• on a 4x4 there can be a flipped edge
• 2 possibilities
• on a 5x5 there are a couple other funny edge things
• 5?

Now, the probabilities probably aren't equal for each parity state, but at each step there is a fair chance at already being in the right state. That's just how randomness works.

I'd say if you need most of the steps most of the time, you're doing fine. After all, when you practice you are really just training yourself to recognize and correct the errors. As long as you're encountering all of them once in a while, that's all that really matters.

• Parity may not be correct here - the odd-numbered cubes have no parity cases.
– user20
May 15 '14 at 15:12
• @Emrakul only the 3x3 doesn't; the 5,7... All have a large number of edge parity cases Jul 27 '17 at 11:30

A good, scrambled Rubik's cube, in my opinion, has no lines of 3 of the same color on one side (green). It also has none of the same colors on a touching center and corner piece (red).

• When I scramble I usually look for matching squares and I split them for a "good scramble". I aim for no 2 matching squares, even though I never actually get there. But I realized this may result in an easier solve. It is easier to assemble a layer when the colors don't match instead of when the colors match but are still in the wrong place. In the second case you have to move the piece away before you can put it back where it belongs. Feb 20 '15 at 16:41

There are lots of places for scramblers, and provide a very good scrambler, because of the fact that the scrambles can reach all 44 quintillion positions. Here are scramblers, along with timers: