After their dramatic 3-2 win over Newcastle, Opta have made Liverpool the current favourites to win the Premier League title with a probability of 39.40%, with Arsenal in second place at 30.65%. Man City's defeat to Tottenham has seen their probability fall to just 11% with tricky matches against Man Utd and Arsenal on the horizon.
Crystal Palace might only have been given a 1.66% chance of finishing in top spot, but they have a 18.77% chance of qualifying for the Champions League after drawing their opening two matches against Chelsea and Nottingham Forest.
At the other end of the table, West Ham's disastrous start to the campaign, including a 3-0 defeat to Sunderland and a 5-1 loss to Chelsea, has seen their relegation fears deepen, and their chances of doing so have increased to 41.70%, above newly-promoted Leeds (38.90%) and Wolves (38.47%).
Scroll down below to see how each Premier League team fares after matchday two.
Qualifying for the Europa Conference League depends on other factors including winning the EFL Cup, so has not been included below.
Arsenal
Current position: 1st
Champions: 30.65%
Champions League: 80.18%
Europa League: 6.35%
Relegation: 0.03%
Tottenham
Current position: 2nd
Champions: 1.38%
Champions League: 15.55%
Europa League: 7.38%
Relegation: 2.88%
Liverpool
Current position: 3rd
Champions: 39.40%
Champions League: 85.62%
Europa League: 5.31%
Relegation: 0.02%
Chelsea
Current position: 4th
Champions: 8.28%
Champions League: 47.00%
Europa League: 11.19%
Relegation: 0.40%
Nottingham Forest
Current position: 5th
Champions: 1.04%
Champions League: 11.95%
Europa League: 6.44%
Relegation: 4.52%
Man City
Current position: 6th
Champions: 11.00%
Champions League: 55.23%
Europa League: 10.43%
Relegation: 0.20%
Sunderland
Current position: 7th
Champions: 0%
Champions League: 0.16%
Europa League: 0.14%
Relegation: 62.46%
Everton
Current position: 8th
Champions: 0.35%
Champions League: 5.52%
Europa League: 3.48%
Relegation: 9.90%
Bournemouth
Current position: 9th
Champions: 0.56%
Champions League: 9.23%
Europa League: 5.51%
Relegation: 6.41%
Brentford
Current position: 10th
Champions: 0.54%
Champions League: 7.80%
Europa League: 4.28%
Relegation: 7.90%
Burnley
Current position: 11th
Champions: 0.01%
Champions League: 0.46%
Europa League: 0.34%
Relegation: 44.72%
Leeds
Current position: 12th
Champions: 0%
Champions League: 0.56%
Europa League: 0.55%
Relegation: 38.90%
Fulham
Current position: 13th
Champions: 0.24%
Champions League: 3.89%
Europa League: 2.71%
Relegation: 14.56%
Crystal Palace
Current position: 14th
Champions: 1.66%
Champions League: 18.77%
Europa League: 9.02%
Relegation: 2.71%
Newcastle
Current position: 15th
Champions: 2.49%
Champions League: 23.93%
Europa League: 9.16%
Relegation: 1.87%
Man Utd
Current position: 16th
Champions: 0.19%
Champions League: 4.73%
Europa League: 3.37%
Relegation: 12.49%
Aston Villa
Current position: 17th
Champions: 1.74%
Champions League: 20.22%
Europa League: 8.44%
Relegation: 2.30%
Brighton
Current position: 18th
Champions: 0.43%
Champions League: 7.92%
Europa League: 4.62%
Relegation: 7.56%
Wolves
Current position: 19th
Champions: 0.02%
Champions League: 0.83%
Europa League: 0.75%
Relegation: 38.47%
West Ham
Current position: 20th
Champions: 0.02%
Champions League: 0.45%
Europa League: 0.53%
Relegation: 41.70%