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?
125124
Random solving of a Rubik cube .
126335
Probability of a painted cube being reassembled into itself
99448
How to test randomness (case in point - Shuffling)
99361
Sample a random rotation in $n$ dimensions
39156
Concerning what is between two consecutive squares.
53449
Probability brain teaser with infinite loop
105049
What is wrong with this "naive" shuffling algorithm?
36805
Simple chessboard exercise
129831
What is the computational cost of random search algorithm?
60661
How to solve this combination problem quickly?
82172
Solitaire probability
148979
Expected hitting times for simple random walk on a hypercube
140939
Smallest Perfect Cube ending in 888
22929
Two squares are chosen at random on a chessboard. What is the probability that they have a side in common?
75783
Alternate moves, first one to roll a 6 wins: what's the probability of winning?
147428
Probability of picking an odd number from the set of naturals?
53960
birthday problem - expected number of collisions