DV football

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.