Fooled By Lumpiness

In a typical AFL game in 2012 the winning team registered about 30 scoring shots and the losing team about 20. On the assumption that the sequence of team scoring shots is random - so that, for example, the winning team's probability of registering the next scoring shot is always 60%, regardless of whether or not it was the team to score last - how likely is it, do you think, that we'd witness a run of 5 or more consecutive scoring shots by the winning team is such a game?
Read More