Te Kete Ipurangi
Communities
Schools

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A graph (network diagram) showing all possible combinations of games between six tennis players from different schools, made by extending lines from a single point, branching at each possibility or decision point. Each branch is labelled with its associated probabilities. Three labelled branches, corresponding to players C, D, and E from School A, extend to the right from a single point on the left. Probabilities are C: 0.6, D: 0.3, and E: 0.1. Two additional branches extend from the end of each of the three School A player branches, labelled as either player F or G from School B, with probabilities of F: 0.7 and G: 0.3, such that there are six ends to the tree on the right side. The ends on the right are labelled (from top to bottom) C plays F, C plays G, D plays F, D plays G, E plays F, and E plays G. A column on the right lists the probabilities for each combination, as follows: C plays F: 0.42, C plays G: 0.18, D plays F: 0.21, D plays G: 0.09, E plays F: 0.07, and E plays G: 0.03.

Last updated September 9, 2010