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<mdoxml version="1.0"><div style="text-align: center;">PIG - Sixes - A game for two players, using two dice.</div>
<p style="text-align: center;">The winner is the first player to get $100$ or more points.<br></br>
You both start with zero points and take turns to throw the dice<br></br>
<em><u>as many times as you like</u></em> adding the total at each throw to your score.<br></br>
Throwing one $6$ ends the turn and nothing is added to the score for that turn.<br></br>
Throwing a double $6$ ends the turn and the total score goes back to zero.<br></br>
Try playing against Piggy. Can you work out Piggy's strategy?</p>
<p> </p>
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<p> </p>
<p style="font-weight: bold;">Imagine we change the rules of the game. How would your strategy be affected?</p>
<ul>
<li>A one-die version: Roll just one die. If you roll a six, your turn ends and your total reverts to what it was at the start of your turn.</li>
<li>A friendlier version: double sixes don't reset your total score to zero, but one or two sixes still ends your turn.</li>
<li><a href="http://nrich.maths.org/1260&part=">Game of PIG - Ones</a>: If you roll a one, your turn ends, if you roll a double one, your total score is reset to zero. Sixes are safe.</li>
</ul>
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<mdoxml version="1.0"> <p>
Here, thanks to Professor Todd Neller, is a list of references to the
many versions of The Game of Pig with some analyses of winning
strategies from The Gettysburg College, Department of Computer Science
<a href="http://cs.gettysburg.edu/projects/pig/piglinks.html">website
<a>.
</p>
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Game of PIG - Sixes
Can you beat Piggy in this simple dice game? Can you figure out
Piggy's strategy, and is there a better one?
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