Snakes and ladder Design Question
design a game of snakes and ladders that is ‘rigged’ in such a way that you, as a knowledgeable player, can always beat an opponent.
The game has to be played on a 10 x 10 board with five snakes and five ladders positioned where you want them to be. It is played with four dice. Each of the four dice can be DIFFERENT. Each dice has to have at LEAST TWO different numbers on it. These numbers can be repeated across the set.
Allowable choices, for example, might be.
DICE A- 1,3,
DICE B- 1, 4,
DICE C- 2, 6,
DICE D, 3, 5,
In play, each of the two players has TWO of the four dice and throws them together. He/ she sums the scores on the dice and moves his / her playing piece that many squares. On arriving at a ladder, the player goes UP the ladder. On arriving at the tail of a snake, the player goes DOWN the snake.
There are several ways to ‘rig’ the game. One is to fix it so you (the winner) always lands on ladders, another is to fix it so your opponent always lands on snakes. HOWEVER – your opponent is not entirely stupid so may accuse you of picking the ‘winning’ dice. To ensure this is not the accusation made of you, you have to be able to let him / her pick either the first, or the second dice from the set of four. That is to say – he picks B, then you A, then him C, then you D … you take turns at picking.
your design has to give you a 100% chance of winning but, to avoid suspicion, you need to also be sure to always fall down one of the snakes while you play, and your opponent has to always go up at least one ladder. show the gameplay sequence showing how you win every time, but also fall down a snake, and your opponent gets up a ladder, no matter which dice your opponent picks first and third.
The options you’re allowed for designing the dice means that you would be allowed to design three of the dice so that they only have only even numbers on them and the other has only odd numbers. You’re also allowed to design the rules so that you get first pick of the dice, let the opponent pick the next two, and you take the last one. Your first dice you pick should have the odd numbers so that there’s only dice with even numbers left when your opponent picks their two dice. This means you your opponent will always throw even and will alwys be on an even numbered square on the board. So then since you have a way of rigging the dice you now have to rig the board so that you can’t get to the finishing square from any even numberred square (those even squares within one move’s finishing distance have snakes or ladders). Make sure that none of the snakes or ladders on even squares lead to an odd square.
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