Dice Maths Investigation

... The instructions above tell us how to play a very simple dice game that relies on probability. From the offset, we can see that the game is an unfair one as the probability of one of the players winning varies. Below is a table showing us how different dice roles affect each player. Dice Number 1 2 3 4 5 6 A Wins B Wins C Wins We can see that the distribution of numbers is not even. However, the probability of each player winning is conditional because if A throws a one, the game finishes and B does not get a chance to throw. To illustrate this more clearly I have created a conditional probability tree diagram: From this simple diagram, the following results are easily obtainable: 1st Round 2nd Round 3rd Round 4th Round A 1/6 5/108 25/1944 125/34992 B 5/18 25/324 125/5832 625/104976 C 5/18 25/324 125/5832 625/104976 The most important thing I found that each probability had in common

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