MLB clinching scenarios in the final week - Texas must win out to clinch the last AL spot on its own

Texas holds the last American League postseason place by one game, and the Rangers have to win all seven of their remaining games to settle the matter themselves. Their clinch number is seven. Their schedule has seven games in it. That is the only postseason clinch number on either league's board that leaves no room at all. It does not mean seven wins are needed to stay in the field. It means seven wins are what it takes to stay in without help, and if Houston, Toronto or Baltimore lose, Texas can lose as well and still be there.

Every number below comes from the September 20 standings update. Clinch numbers assume the worst case throughout: that every rival wins every game it has left. None of this is a projection, and none of it is a probability.

Five of the twelve postseason places are already clinched outright, and two of them are in the American League. Tampa Bay (94-60) and the Yankees (89-65) are in, and both still have eight games to play, one more than anyone else in the league. Tampa Bay needs four more wins to take the East no matter what anyone else does, and the Rays cannot finish lower than second in the league. New York can still reach the top seed, with a reachable range of first to third, but no number of Yankees wins guarantees the division, so no division clinch number is posted for them. Boston (84-71) needs exactly one win to clinch a place. Until that win lands, the Red Sox range still runs as low as seventh.

The Central is a one-game race. Cleveland is 80-75, Chicago is 79-76, and both have seven games left. Cleveland needs five wins to guarantee a postseason place and all seven to guarantee the division. Chicago needs six for a place, and the White Sox have no division number at all, because no run of their own wins can clinch the Central while Cleveland leads them by a game with the same number of games remaining. Both are inside the field today. Cleveland's worst reachable finish is tenth in the league, Chicago's twelfth, which is a fair measure of how little either club's position is worth this week.

The West is the other one-game race, and it is also where the last place in the field gets decided. Texas (78-77) leads it, with a clinch number of seven for the division and seven for a postseason place. Houston (77-78) is a game back and currently outside the six. The Astros have no clinch number, because nothing they do on their own settles the matter, but their tragic number is six: six more losses and they are out even if they win everything else. Across seven games that is room for five defeats. Toronto (76-79) can afford three losses before the same door shuts, Baltimore (75-80) two. Both trail the East badly, by 18.5 and 19.5 games, so the wild card is their only route, and both can still finish as high as fourth in the league. Detroit (73-82) and Seattle (72-83) are each one loss from elimination. Minnesota, level with Seattle at 72-83, is already out, as are Kansas City, the Athletics and the Angels.

The National League has gone quiet at the top. Milwaukee (97-58) has clinched the Central and the Dodgers (95-60) have clinched the West, both outright, with zeros in every clinch column. Atlanta (91-64) has clinched a postseason place and needs two more wins to take the East, where Philadelphia is the only club within reach at six games back. Milwaukee and Los Angeles can each finish anywhere from first to third in the league. Atlanta's range runs from first to sixth.

Below them three places are open and only one is a genuine contest. The Cubs and San Diego are tied at 86-69, and each needs three wins from seven to clinch regardless of what happens elsewhere. Philadelphia (85-70) needs four. Arizona (81-74) is the only club below the line still breathing, with a tragic number of three. Pittsburgh is out at 78-77, a winning record and no way back, and so are Miami, St. Louis, Washington, Cincinnati, the Mets, San Francisco and Colorado. Eight of the fifteen National League clubs are mathematically finished.

The last week reduces to a short list of thresholds. Boston at one win, Cleveland at five and Chicago at six each end their own part of it without reference to anyone else. Texas cannot afford a single defeat if they want the matter in their own hands, and every Rangers loss hands the final place back to a four-way count in which Houston has five losses to give, Toronto three and Baltimore two. Four numbers are still live in the National League, and only one of them can change who is in the field: Arizona's tragic number of three. The Cubs and San Diego at three wins and Philadelphia at four are the clubs Arizona would have to pass, and Atlanta's two settles the East rather than a place in the bracket. The standings refresh as results land, and each club's remaining fixtures are listed on the schedule page.

How to read these numbers. A magic or clinch number is the minimum further wins that guarantee an outcome even if every rival wins every remaining game. A tragic number is the further losses after which the outcome is impossible even if the team wins every remaining game. Zero means it is already done, and a blank means no run of that team's own results can settle it. Ties are counted against the team in question, so a clinch here can trail the official announcement by a day. Team-by-team figures are on the magic number page, the bracket and seeding rules on the postseason page, the arithmetic itself on the methodology page, and each club's own answer on its team page (/mlb/team/tex and the rest).