Consider an 88 chess board in which the rows are numbered from 1 to 8, and likewise for

Chapter 32, Problem 32.8

(choose chapter or problem)

Consider an 88 chess board in which the rows are numbered from 1 to 8, and likewise for the columns. And, as is usual for a chess board, the squares are alternately colored black and white. The squares of this chess board form the elements of a sample space in which all of the 64 squares on the chess board are equally likely; that is, all have probability 1=64. For each of the following pairs of events A and B, determine if the two events are independent. a. A is the event that a white square is chosen and B is the event that a black square is chosen. b. A is the event that a square from an even numbered row is chosen and B is the event that a square from an even numbered column is chosen. c. A is the event that a white square is chosen and B is the event that a square from an even numbered column is chosen.