If the chances for win are accurate (from the Premier League on Google), which are as follows for each of the three:
Liverpool: 63%
Man City: 77%
Arsenal: 83%
Then it's actually more likely than not, that at least one of these three won't win their game (around 60% probability).
Of course, it's hard to put an accurate number on sports events, it's all just estimates mostly based on previous results.
I doubt with how accurate this prediction exactly 63% winning ratio of Liverpool regarding premier league matches left not face really difficult opponent team depend on the result match against Manchester City. Probably looking three teams matches left in Premier League I think Liverpool has large winning percentage ratio than Manchester City and Arsenal who had lack winning mentality in crucial match.
Next match, Liverpool still have weakness opponent teams against Nottingham Forest before facing Manchester City one week later, its crucial for Liverpool if secure with Premier League trophy must defeat Manchester City and make easily for several matches left. Has crucial match for Manchester City in this week will face Manchester United, if losses three points will make difficult to defend Premier League tittle behind Liverpool win against Nottingham Forest.