PLAYOFF PUSHMagic Numbers and Elimination Numbers, Explained With Examples
The magic number is the most quoted and least understood statistic in a playoff race. Broadcasters flash it on screen, fans count down to it, and almost nobody can say where it comes from. The formula is one line long, and once you see it, you can compute a magic number in your head for any team in any league.
The formula
For a leader chasing a clinch over one specific rival:
Magic number = games in the season + 1 − leader's wins − chaser's losses
That is it. Every win by the leader lowers the number by one. Every loss by the chaser lowers it by one. When it reaches zero, the spot is clinched, because the chaser can no longer finish with more wins than the leader already has.
Take a 162-game MLB season. The leader is 90-60 and the chaser is 85-65.
- 162 + 1 = 163
- 163 − 90 = 73
- 73 − 65 = 8
The magic number is 8. Any mix of eight leader wins and chaser losses clinches. Win five, watch the chaser drop three, done.
Why the plus one
The plus one is the part people forget, and it is the part that makes the number correct. The chaser's best possible finish is their current wins plus every remaining game. The leader has clinched when they have one win more than that maximum. Add one to the season length, and the arithmetic falls out.
Drop the plus one and your number reaches zero when the two teams can still finish tied, which is where tiebreakers come in.
Tiebreakers change the effective number
The classic magic number treats a tie as not good enough. In a league where ties are broken on record, and the leader already owns that tiebreaker, finishing level is enough. The leader's practical magic number is one lower than the formula says.
That is why our team pages show the formula's number and note when the tiebreak is already decided. In MLB, which uses head-to-head record as the first tiebreaker and plays no extra games, the distinction is the difference between celebrating on Tuesday or Wednesday.
Elimination numbers are the same math backwards
An elimination number is the magic number from the trailing team's perspective. For the chaser:
Elimination number = games in the season + 1 − leader's wins − chaser's losses
Look familiar? It is the same expression. The leader's magic number over you is your elimination number against them. The difference is only in whose scoreboard you are watching. When the number hits zero you are mathematically out.
MLB standings publish an elimination number for Wild Card contention, and the number they show is against the last team currently holding a spot. That matters: if you are seventh in the Wild Card race, your elimination number tracks the third Wild Card team, not the team one spot ahead of you.
Magic numbers for a playoff spot, not just a division
The formula assumes a two-team race, which is fine for a division. A Wild Card magic number is trickier because you are racing a moving target. The standard approach, and the one Playoff Push uses, is to compute your magic number against the first team outside the playoff line. That is the team that would have to pass you for you to fall out.
When your position changes, the reference team changes and so does the number, sometimes by a lot. A magic number of 6 one night and 9 the next is not a glitch; the team you are racing swapped.
Points-based leagues: the NHL version
Hockey standings count points, not wins. A win is two points, an overtime or shootout loss is one, a regulation loss is zero. The formula adapts:
Magic number (points) = chaser's maximum possible points − leader's current points + 1
where the chaser's maximum is their current points plus two for every remaining game. Each leader point cuts the number by one; each point the chaser fails to collect cuts it by one too. A chaser losing in overtime only costs them one of the two available points, which is why NHL races drag on: nobody ever quite loses.
On our NHL pages the tiles read in points, and the "points to clinch" number uses exactly this calculation.
The NFL version
Football is the simplest case: 17 games, wins and losses with the occasional tie counted as half a win. Because the schedule is short, magic numbers are small and move fast. A three-game lead with four to play is a magic number of 2. The complication in the NFL is not the arithmetic but the tiebreakers, which run through head-to-head, division record, common games, conference record and strength of victory before anyone flips a coin. We treat a tie as unresolved in the number and show the seeding ESPN has applied where the league has broken it.
Three-point soccer
The Premier League awards three points for a win and one for a draw. A club chasing a Champions League place computes the gap the same way as hockey with different weights: the chaser's ceiling is current points plus three per remaining match. A six-point lead with two matches left is safe; a six-point lead with three matches left is not. Our Premier League pages show points above the line and points above the relegation zone rather than games back, because games back has no meaning when a match can be worth zero, one or three.
Common mistakes
- Counting games remaining instead of using the formula. "They lead by six with ten to play" tells you very little on its own. The magic number does.
- Forgetting the plus one. Off by one, every time.
- Using the wrong chaser. For a Wild Card, race the first team outside the line, not the team directly behind you.
- Ignoring head-to-head games. When the leader and chaser play each other, one game moves the magic number by two: a leader win adds a win and a chaser loss at once. Those series are worth double, which is why the Path panel on each team page lists remaining head-to-heads.
How Playoff Push uses it
Every team page carries a magic number tile during a division race or when the team holds a playoff spot, and an elimination number tile when it is chasing. Both are recomputed live with the standings, and the tile tells you whether the number is MLB's own figure or ours, since MLB publishes its own. Everything else about the race, from tonight's rooting guide to the simulated playoff odds, builds on the same arithmetic. Pick a team on the home page and count down with us.
Frequently asked questions
- How do you calculate a magic number?
- Take the total number of games in the season, add one, subtract the leader's wins, and subtract the chaser's losses. Any combination of leader wins and chaser losses adding up to that number clinches.
- What does a magic number of zero mean?
- The spot is clinched. Nothing the chasing team does can catch the leader anymore.
- What is an elimination number?
- The same calculation from the trailing team's point of view: the number of leader wins and your own losses, in any combination, that eliminates you. When it hits zero you are out.
- Do magic numbers account for tiebreakers?
- The classic formula does not. It assumes a tie is not good enough. If you already hold the tiebreaker over the team you are racing, your real magic number is one lower.