Julian
Member
Probability of a CP skip for SQ1 = 1/36?
Probability of a CP skip for SQ1 = 1/36?
Odds of a solved layer on a scrambled 2x2?
It's been asked and answered in this thread before.
Whats the probability of having 2 centers solved on a 5x5 after scramble? Less or more than having 1 side done on a 3x3?
Well, here's what I come up with.Whats the probability of having 2 centers solved on a 5x5 after scramble? Less or more than having 1 side done on a 3x3?
Well, here's what I come up with.
For the centers for two particular faces on the 5x5x5:
((4/24)*(3/23)*(2/22)*(1/21)*(4/20)*(3/19)*(2/18)*(1/17))^2 = 1/(51482970^2) = 1/2,650,496,200,020,900
Assuming we don't care which two faces have the solved centers, the probability is approximately 15 times that (around 1 in 177 trillion).
For the 3x3x3, I assume "one side done" means a whole face layer being solved.
The probability of a particular face layer on the 3x3x3 being solved is:
(1/24)*(1/21)*(1/18)*(1/15)*(1/24)*(1/22)*(1/20)*(1/18) = 1/25866086400.
The probability of any face layer solved is approximately 6 times that, or about 1 in 4.3 billion.
If you only interested in a face being a solid color, then the probability for a particular face would be:
(4/24)*(3/21)*(2/18)*(1/15)*(4/24)*(3/22)*(2/20)*(1/18) = 1/44906400. For any of the six faces, the probability would be approximately 6 times larger, or about 1 in 7.5 million.
Okay, we agree on a face on a 3 by 3, but: you made a mistake on the 5*5*5 part. 2 centres solved, for first one there are 6 options, leaving 5 options for the remaining center, so it's 6*5=30 times larger, not 15.
Someone please answer me this. I do 10 blindfolded solves. First one wearing white shoes, second wearing black shoes, third wearing white shoes and then repeating swapping shoes. The shoes are the same, feel the same, and make no difference to the solve. The 1st,3rd,5th and all the solves with odd numbers whilst wearing white shoes are DNF. Before you do the 11th solve, you have the choice of what shoes to wear. You MUST wear either of the pairs. Which shoes do you pick to give you statistically the highest chance of completing the solve?
No, we're choosing 2 faces out of 6. 6 choose 2 is 15. Of two chosen faces, it doesn't matter which one is considered as the "first."
Wearing black shoes on an odd numbered solve? what if that completely blows your 50% streak and you never solve again? Risky move.
Someone please answer me this. I do 10 blindfolded solves. First one wearing white shoes, second wearing black shoes, third wearing white shoes and then repeating swapping shoes. The shoes are the same, feel the same, and make no difference to the solve. The 1st,3rd,5th and all the solves with odd numbers whilst wearing white shoes are DNF. Before you do the 11th solve, you have the choice of what shoes to wear. You MUST wear either of the pairs. Which shoes do you pick to give you statistically the highest chance of completing the solve?
Solve Colour shoes Success?
1 White No
2 Black
3 White No
4 Black
5 White No
6 Black
7 White No
8 Black
9 White No
10 Black
11 ??? ???
So, if they make no difference, then it doesn't matter what shoes you wear; they will make no difference to the solve. So, the answer is neither.Someone please answer me this. I do 10 blindfolded solves. First one wearing white shoes, second wearing black shoes, third wearing white shoes and then repeating swapping shoes. The shoes are the same, feel the same, and make no difference to the solve. The 1st,3rd,5th and all the solves with odd numbers whilst wearing white shoes are DNF. Before you do the 11th solve, you have the choice of what shoes to wear. You MUST wear either of the pairs. Which shoes do you pick to give you statistically the highest chance of completing the solve?
Someone please answer me this. I do 10 blindfolded solves. First one wearing white shoes, second wearing black shoes, third wearing white shoes and then repeating swapping shoes. The shoes are the same, feel the same, and make no difference to the solve. The 1st,3rd,5th and all the solves with odd numbers whilst wearing white shoes are DNF. Before you do the 11th solve, you have the choice of what shoes to wear. You MUST wear either of the pairs. Which shoes do you pick to give you statistically the highest chance of completing the solve?
See above.
Which shoes do you pick to give you statistically the highest chance of completing the solve?
After solving all centers on a 5x5, what's the probability for all edges to be paired correctly?
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