Wednesday
April 23, 2014

Homework Help: grid problem (geometry)

Posted by john on Saturday, June 15, 2013 at 10:38am.

The squares of a 260 chessboard are coloured black and white in the standard alternating pattern. At random, exactly half of the black squares are removed from the board. The expected number of white squares that have no neighbours after this process can be expressed as a/b where a and b are coprime positive integers. What is the value of a+b?

Details and assumptions:

>Note: The black squares are not removed with probability 12. Rather, it is given that exactly 30 black squares are removed.

>A square is a neighbour if it is located directly to the left, right, top or bottom of the initial square. Squares that are connected by exactly 1 vertex are not neighbors.

Answer this Question

First Name:
School Subject:
Answer:

Related Questions

MATH - A four by four grid of unit squares contains squares of various sizes (1 ...
Math - The squares of a 2500 chessboard are coloured black and white in the ...
GEOMETRY - The squares of a 33 grid of unit squares are coloured randomly and ...
math problem - In a standard carnival game, you toss a coin on a table top ...
Mathematics - The squares of a 260 chessboard are coloured black and white in ...
math grids - please can someone help me with this math grid here is a grid with ...
Math (Probability) - Four players are playing a game involving choosing squares ...
Math - The squares of a 33 grid are filled with non-negative integers such ...
math - The squares of a 33 grid are filled with non-negative integers such that...
Math (please help me Steve) - The squares of a 33 grid are filled with non-...

Search
Members