Arsenal’s lead at the top of the Premier League is six points with three matches to play, and a goal-difference cushion of four (+41 versus Manchester City’s +37), the Premier League’s official standings update confirmed on Sunday.T1 - Premier League official The arithmetic is the story. With City holding two games in hand, the table on 4 May understates City’s live position by a maximum of six points; the live worst-case gap, if City win both fixtures in hand, is zero on points and four on goal difference. The final round, ten games kicking off simultaneously on Sunday 24 May, will resolve the title under the league’s published tiebreaker order: points, then goal difference, then goals scored, then head-to-head.T1 - Premier League official

The cushion is worth quantifying before the permutations. Arsenal’s +41 against City’s +37 means City must outscore Arsenal by five clear goals across the remainder of the season to reach the goals-scored tiebreaker, and by four to force it. Four is the operative number because, on level points and level goal difference, the league moves to goals scored, and City currently trail Arsenal there as well by a margin the Premier League has not separately disclosed in the 4 May update.T1 - Premier League official Should both first three tiebreakers come level, the head-to-head record this season favours City, the league confirmed.T1 - Premier League official

Mapped against the fixture list, the live permutations narrow quickly. City visit Everton on Monday 5 May and host Brentford on Saturday 9 May, the two games in hand.T1 - Premier League official Six points from those two is the only path that keeps a title scenario alive going into matchweek 38; five points or fewer ends the race before 24 May, on the basis that Arsenal’s three remaining fixtures, even with two losses, would leave City unable to overhaul both points and goal difference simultaneously. The Premier League’s note flagging this as a candidate for the closest title race in the competition’s history rests on the six-from-six contingency holding.T1 - Premier League official

Assume that contingency holds. City take six from Everton and Brentford, drawing level on games played with one match remaining each. Arsenal’s three remaining fixtures, two of which fall before matchweek 38 and the third on 24 May, become the controlling variable. If Arsenal take four points or more from the two pre-final-day fixtures, City need Arsenal to lose on 24 May while winning themselves, and the goal-difference swing of at least four still has to land on the same day. If Arsenal take three points across the two pre-final-day fixtures, City close to a one-point gap entering 24 May and require a win combined with any Arsenal result short of a win, plus the four-goal swing. If Arsenal take zero or one point pre-final-day, City enter 24 May level or ahead on points and need only to match Arsenal’s result while engineering the swing.

The four-goal swing is the load-bearing element of every live City scenario, and worth pricing in isolation. Across a single matchweek, a four-goal swing has occurred in the Premier League’s final round in five of the last twenty seasons, on data compiled by Opta and surfaced in the Premier League’s own historical title-race notes.T1 - Premier League official The mechanism is almost always asymmetric: one side wins by four or more, the other loses by one or more, or one side wins by three while the other loses by one. A symmetric 4-0 / 0-4 outcome on the same afternoon has happened twice in the same window. The probability is non-trivial; it is also, on the underlying expected-goals models cited by the league’s preview material, materially below 15% on any given final day.T1 - Premier League official

The financial framing for the two clubs’ summer windows hangs on the result. Champions League qualification is settled for both; the title’s commercial uplift, in merit-payment and central-distribution terms, is approximately £3m on the standard Premier League ladder, with the broader uplift in commercial activations, shirt-sale halo, and pre-season tour pricing estimated by Deloitte’s 2024 Football Money League at £25m to £40m over the following twelve months for a first-time-in-cycle champion.T2 - Deloitte Football Money League 2024 For Arsenal, a first title since 2003-04 carries the larger commercial multiplier; for City, a fifth in six seasons is at this point baked into the brand’s commercial book and the marginal upside is smaller, on the same Deloitte methodology.T2 - Deloitte Football Money League 2024

The title race is, on the numbers, still alive. It is alive in a narrow band: City must take six from six in the games in hand, Arsenal must drop points across matchweek 36 and 37, and the four-goal swing must materialise on 24 May. Each event is plausible in isolation. Their joint probability is the price the bookmakers, and the Arsenal coaching staff, will spend the next three weeks calibrating. The arithmetic does not lie, and on 4 May the arithmetic still favours Arsenal.