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We need five wins provided Arsenal and/or ManU win all their remaining matches.
Given that two of your games are Man Utd (h) and Arsenal (a) that means you can only afford to not win one other should those two win all of theirs (they can't since Man U v Arsenal is on the 17th).
Taking into account the remaining games (and not just the maximum points):-
Chelsea are guaranteed at least 7th at the moment. Arsenal 8th. Man U 9th. Citeh could still end up 10th. Lib, Spurs, 13th. Southampton 14th.
All teams down as far as Southampton could still end up 1st. Swansea can only get to 2nd.
(Currently writing code to anaylse league table and fixtures to work out if champions/promoted/play-off/europe/relegated places have been decided.)
Greenbank
Prole.
We have won 70% of our 30 games thus far and need to win 62.5% of our remaining 8
matches.
So if we count draws as losses, which they are not, we should do it but it will be close, provided that Arsenal and ManU win all their remaining games, which they will not.
In terms of points, we have won 70 out of 90 available ie 77.778% of points available up to now. This would mean, if repeated over the remaining 8 matches, that we should win between 18 and 19 points from now on. Six wins or six wins and a draw or five wins and three draws.
We need five wins provided Arsenal and/or ManU win all their remaining matches.