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Poisson Prediction

To predict how many goals a team will score in a match we can use the Poisson Distrubution.  The Poisson Distribution is a mathematical formula that describes the distribution of the number of discrete random events.  It is applicable to almost any random event - for example the number of cars arriving at a red light, the number of customers entering a shop per hour, the number of goals scored in a match.  The formula is written as P(k) = (lambda^k) * (e ^ -lambda) / k! Where P(k) mean the Probability of k goals, Lambda is the average goals per game.  e is eulers constant (this is a known constant), k! is k factorial (eg 3! = 3*2*1=6).  It's just mathematical notation. So we have quite a simple way of calculating the probability that a team will score 1 goal in a game, or 2 or 3.  And we can calculate likewise for their opponent.  We are then calculating the probabilities of football results!  The only parameter of the equation tha...