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In best of five hockey playoff the winner is declared after three game. Draw a tree diagram showing all the outcomes in the best of five series 

3 years ago

Answered By Leonardo F

Let's consider that we have two teams, A and B. Let's say that A wins the playoff by winning three games out of the five possible. So, when we write A, it means that team A won the game, and when we write B it means that team B won the game. So the options will be:

AAA , AABA , ABAA , BAAA, ABBAA , ABABA , BAABA , BBAAA , BABAA , AABBA

The options above will be exactly the same if B wins the playoff. In this case, we will have:

BBB , BBAB , BABB, ABBB , BAABB , BABAB , ABBAB , AABBB , ABABB , BBAAB