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
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?
Nabeelah from Langley Grammar School commented
Philippa from Ashcroft Academy worked
out that Earl had the most suspicious results:
I think Earl is the cheat because his heads and tails are pretty
much equal as if he tried too hard to simulate the random pattern
of a coin.
Another way of telling that Earl is the
most likely cheat is to notice that he has no strings of repeated
results of length of 5 or more, and when you realise that there are
95 strings of 6 consecutive results (1st, 2nd, 3rd, 4th, 5th and
6th - 2nd, 3rd, 4th, 5th, 6th and 7th -
3rd, 4th, 5th, 6th, 7th and 8th...) you may find it
suspicious that long strings of repeated results do not appear at