posted by .

Brilli the ant randomly placed a token into a square on a 2×100 chessboard according to a probability distribution P. The token is then moved uniformly at random to one of the horizontally, vertically, or diagonally adjacent squares. The probability that the token is in a particular position after it has been moved also satisfies the distribution P. Let q be the probability that the token is placed into one of the columns of C={5,6,…44} and after being moved is still in one of those columns. The value of q can be expressed as a/b where a and b are coprime positive integers. What is the value of a+b?

You must be one of those "Brilliant" people.

## Similar Questions

1. ### Probabilities

A queen on an English chessboard is able to attack in the same row, column and diagonal. The probability that 2 randomly placed queens on an 8 by 8 chessboard will be able to attack each other can be expressed as a/b , where a and …
2. ### Math (Probability)

Four players are playing a game involving choosing squares on a grid of size 3×8. Each player chooses a random square on the grid, then all players reveal their choices and a token is placed in the center of each of these squares. …
3. ### math

A token is placed on the corner square of a 3×3 chess board. The token is moved either up, down, left, or right, with equal probability. If the token would move off the edge of the board it "wraps around'' the board and moves to the …
4. ### heeeeeeeeeeelp math

A strip of 41 squares is numbered 0,1,2,…,40 from left to right and a token is placed on the square marked 0. Pinar rolls a pair of standard six-sided dice and moves the token right a number of squares equal to the total of the dice …
5. ### heeeeeelpm math

A strip of 41 squares is numbered 0,1,2,…,40 from left to right and a token is placed on the square marked 0. Pinar rolls a pair of standard six-sided dice and moves the token right a number of squares equal to the total of the dice …

Brilli the ant is considering the complexities of a 5-dimensional universe. She wants to count the number of integer points that are distance n√ away from the origin. Let Tn be the set of ordered 5-tuples of integers (a1,a2,a3,a4,a5) …