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.
That's just a prediction that is not necessarily accurate because in fact I also doubt this prediction, in fact Arsenal has a larger percentage among the three which in my opinion Arsenal's ratio is the smallest or at least below Manchester City and Liverpool. Liverpool's strong rivals at the moment are Manchester City and Arsenal in the race for the title because the difference in points is small so we can't yet determine who might become champions and in the remaining matches this season Liverpool still have to face defending champions Manchester City if they are able to beat them then the percentage Liverpool in winning the title is getting higher. I think Arsenal's ratio is higher because they were able to beat Manchester City in both meetings this season because they were able to beat the defending champions.
In the next match, Liverpool can still look impressive because the opponent is not that tough even though they have to visit and Liverpool's chance of winning is 63% while Nottingham Forest's is 17%, especially with Liverpool's current performance, I'm pretty sure Liverpool will still consistently win. It's quite a tough match after Liverpool faces the Europa League match against Sparta Prague and after that Liverpool will soon face Manchester City which makes it a little difficult because after the Europa League match there is only a difference of 2 days so I'm worried that Liverpool's performance will not be optimal because they have a tight schedule quite busy, but I hope Liverpool's stamina remains strong to compete with Manchester City.