So say you have a Rubik's cube in a certain state (you can make your own assumptions about what state, I'm guessing the majority of states give about the same answer) and you alter it by randomly and uniformly choosing moves, one after another. Here a move is defined as rotation of a face of the cube either 1, 2, or 3 times (you can't leave the cube the way it is). How many moves on average would it take to solve it? Also, how would you generalize this problem, or what are some general techniques to handle it?
2026-03-25 12:28:22.1774441702
Say you had a Rubik's cube in a certain starting state and chose moves randomly and uniformly. How long on average would it take to solve it?
99 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in PROBABILITY
- How to prove $\lim_{n \rightarrow\infty} e^{-n}\sum_{k=0}^{n}\frac{n^k}{k!} = \frac{1}{2}$?
- Is this a commonly known paradox?
- What's $P(A_1\cap A_2\cap A_3\cap A_4) $?
- Prove or disprove the following inequality
- Another application of the Central Limit Theorem
- Given is $2$ dimensional random variable $(X,Y)$ with table. Determine the correlation between $X$ and $Y$
- A random point $(a,b)$ is uniformly distributed in a unit square $K=[(u,v):0<u<1,0<v<1]$
- proving Kochen-Stone lemma...
- Solution Check. (Probability)
- Interpreting stationary distribution $P_{\infty}(X,V)$ of a random process
Related Questions in RANDOM-WALK
- Random walk on $\mathbb{Z}^2$
- Density distribution of random walkers in a unit sphere with an absorbing boundary
- Monkey Random walk using binomial distribution
- Find probability function of random walk, stochastic processes
- Random walk with probability $p \neq 1$ of stepping at each $\Delta t$
- Average distance between consecutive points in a one-dimensional auto-correlated sequence
- Return probability random walk
- Random Walk: Quantiles, average and maximal walk
- motion on the surface of a 3-sphere
- Probability of symmetric random walk being in certain interval on nth step
Related Questions in RUBIKS-CUBE
- What is the probability of this Rubik's cube configuration?
- Rubik's Cube and the symmetric group
- Rubik's cube function
- Number of unique permutations of a 3x3x3 cube, including transforms
- How can I calculate the number of permutations of an irregular rubik's cube?
- Center of the Rubik's Cube Group
- Permutations of Rubik's cube such that no adjacent sticker is the same
- Observation on Rubik's Cube's tiles
- Corner Swappings on Rubiks Cube
- Articles and Papers about the math behind Rubik's Cube
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?