DV football

Discrete Mathematics Level pending

Doughtery Valley Varsity football team is awful. However, they try as hard as they can to move on to state competitions.

The following information is given:

  1. DV will lose every game with a certainty of 90%
  2. They need to win at least 4 games in a league series to get to state
  3. There are 8 other teams in the league
  4. They will play one, and only one game with every other team in the league during the series.
  5. Every 1 in 4 games, DV will bribe the ref, and will only lose with a certainty of 25% in that game.

What is the chance of Doughtery Valley Varsity moving on to State?

Express your answer in decimal form.


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