Which Team Will Win?

animal playing footballEvery weekend, Team Beaver and Team Yeti play each other at 2-Goal Football - they play until two goals have been scored.  Sometimes games last only a minute or two, sometimes they seem to go on for ever.

Over a 36-week season, which team is likely to win more games?  Team Beaver or Team Yeti?

You are going to investigate this question through a practical experiment.
If possible use a die with four yellow and two blue faces (if this is not available, use an ordinary die and let 1, 2, 3 and 4 correspond to a yellow face, and 5 and 6 to a blue face.)

First investigate what happens for one game:
  1. Throw the die.  A yellow (1, 2, 3, 4) face means a goal to Team Yeti, a blue (5, 6) face means a goal to Team Beaver.  Record this on the Results Worksheet - you might find it helpful to use a yellow colour for Team Yeti and a blue colour for Team Beaver.
  2. Throw the die again, to see who scores the second goal, and record it on the Results Worksheet.
Who won?  Compare your result with other people's - any surprises?  

Now repeat the experiment 36 times in total, to get the results for a full season.

Are you surprised by your results?

How do they compare with what you would expect? 

Which team scores most often?  Why?

Does this mean they will always win?  Why not?

How often do you expect the Yetis to score?  How often do you expect the Beavers to score?

Did the Yetis win the proportion of games you would expect?  How about the Beavers?  If not, can you explain what's happening?