This document discusses a homework assignment involving games of chance and conjectures. It describes a coin tossing game where the first player to get 5 heads wins, and Salley and Dennis noticed the first player always won when they played the game 10 times. It then asks if the statement that the first player to toss must always win is true or false, and describes this as an example of a conjecture. It also describes another game where Salley and Dennis proved the first player to move will always win, and asks if this is an example of a conjecture.