All you need for this game is a pack of cards. While you play the game, think about strategies that will increase your chances of winning.
This is a game for two players. You will need some small-square grid paper, a die and two felt-tip pens or highlighters. Players take turns to roll the die, then move that number of squares in a straight line. Move only vertically (up/down) or horizontally (across), never diagonally. You can cross over the other player's trails. You can trace over the top of the other player's trails. You can cross over a single trail of your own, but can never cross a pair of your trails (side-by-side) or trace over your own trail. To win, you must roll the exact number needed to finish in the target square. You can never pass through the target square. The game ends when a player ends his/her trail in the target square, OR when a player cannot move without breaking any of the rules.
Can you beat Piggy in this simple dice game? Can you figure out Piggy's strategy, and is there a better one?
Try to list all the possible combinations for set $A$.
Try to be systematic so you don't miss any combination.
How can I end up with an even total?
By adding two even numbers? An even and an odd? Two odds?