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- Magic_number_(sports) abstract "In certain sports, a magic number is a number used to indicate how close a front-running team is to clinching a division title and/or a playoff spot. It represents the total of additional wins by the front-running team or additional losses (or any combination thereof) by the rival team after which it is mathematically impossible for the rival team to capture the title in the remaining games. This assumes that each game results in a win or a loss, but not a tie. Teams other than the front-running team have what is called an elimination number (or "tragic number") (often abbreviated E#). This number represents the number of wins by the leading team or losses by the trailing team which will eliminate the trailing team. The elimination number for the second place team is exactly the magic number for the leading team.The magic number is calculated as G + 1 − WA − LB, whereG is the total number of games in the seasonWA is the number of wins that Team A has in the seasonLB is the number of losses that Team B has in the seasonFor example, in Major League Baseball there are 162 games in a season. Suppose the top of the division standings late in the season are as follows:Then the magic number for Team A to win the division is 162 + 1 − 96 − 62 = 5.Any combination of wins by Team A and losses by Team B totaling to 5 makes it impossible for Team B to win the division title.The "+1" in the formula serves the purpose of eliminating ties; without it, if the magic number were to decrease to zero and stay there, the two teams in question would wind up with identical records. If circumstances dictate that the front-running team would win the tiebreaker regardless of any future results, then the additional constant 1 can be eliminated. For example, the NBA uses complicated formulae for breaking ties, using several other statistics of merit besides overall win/loss record; however the first tiebreaker between two teams is their head-to-head record; if the frontrunning team has already clinched the better head-to-head record, then the +1 is unnecessary.The magic number can also be calculated as WB + GRB - WA + 1, whereWB is the number of wins that Team B has in the seasonGRB is the number of games remaining for Team B in the seasonWA is the number of wins that Team A has in the seasonThis second formula basically says: Assume Team B wins every remaining game. Calculate how many games team A needs to win to surpass team B's maximum total by 1. Using the example above and with the same 162-game season, team B has 7 games remaining.The magic number for Team A to win the division is still "5": 93 + 7 − 96 + 1 = 5.Team B can win as many as 100 games. If Team A wins 101, Team B is eliminated. The magic number would decrease with a Team A win and would also decrease with a Team B loss, as its maximum win total would decrease by one.A variation of the above looks at the relation between the losses of the two teams. The magic number can be calculated as LA + GRA - LB + 1, whereLA is the number of losses that Team A has in the seasonGRA is the number of games remaining for Team A in the seasonLB is the number of losses that Team B has in the seasonThis third formula basically says: Assume Team A loses every remaining game. Calculate how many games team B needs to lose to surpass team A's maximum total by 1. Using the example above and with the same 162-game season, team A has 8 games remaining.The magic number for Team A to win the division is still "5": 58 + 8 − 62 + 1 = 5. As you can see, the magic number is the same whether calculating it based on potential wins of the leader or potential losses of the trailing team. Indeed, mathematical proofs will show that the three formulas presented here are mathematically equivalent.Team A can lose as many as 66 games. If Team B loses 67, Team B is eliminated. Once again, the magic number would decrease with a Team A win and would also decrease with a Team B loss.In some sports, ties are broken by an additional one-game playoff(s) between the teams involved. When a team gets to the point where its magic number is 1, it is said to have "clinched a tie" for the division or the wild card. However, if they end the season tied with another team, and only one is eligible for the playoffs, the extra playoff game will erase that "clinching" for the team that loses the playoff game.By convention, the magic number typically is used to describe the first place team only, relative to the teams it leads. However, the same mathematical formulas could be applied to any team, teams that are tied for the lead, as well as teams that trail. In these cases, a team that is not in first place will depend on the leading team to lose some games so that it may catch up, so the magic number will be larger than the number of games remaining. Ultimately, for teams that are no longer in contention, their magic number would be larger than their remaining games + the remaining games for the first place team — which would be impossible to overcome.".
- Magic_number_(sports) wikiPageExternalLink baseball_main.html.
- Magic_number_(sports) wikiPageExternalLink magicexpo.shtml.
- Magic_number_(sports) wikiPageID "352995".
- Magic_number_(sports) wikiPageLength "9951".
- Magic_number_(sports) wikiPageOutDegree "12".
- Magic_number_(sports) wikiPageRevisionID "626458498".
- Magic_number_(sports) wikiPageWikiLink Category:Terminology_used_in_multiple_sports.
- Magic_number_(sports) wikiPageWikiLink Division_(sport).
- Magic_number_(sports) wikiPageWikiLink Elimination_from_possibility_of_reaching_postseason.
- Magic_number_(sports) wikiPageWikiLink Games_behind.
- Magic_number_(sports) wikiPageWikiLink Major_League_Baseball.
- Magic_number_(sports) wikiPageWikiLink Maximum_flow_problem.
- Magic_number_(sports) wikiPageWikiLink National_Basketball_Association.
- Magic_number_(sports) wikiPageWikiLink One-game_playoff.
- Magic_number_(sports) wikiPageWikiLink Playoff_berth.
- Magic_number_(sports) wikiPageWikiLink Season_(sport).
- Magic_number_(sports) wikiPageWikiLink Season_(sports).
- Magic_number_(sports) wikiPageWikiLink Sport.
- Magic_number_(sports) wikiPageWikiLink Sports.
- Magic_number_(sports) wikiPageWikiLink Tie_(draw).
- Magic_number_(sports) wikiPageWikiLinkText "Magic number (sports)".
- Magic_number_(sports) wikiPageWikiLinkText "magic number".
- Magic_number_(sports) wikiPageWikiLinkText "number to clinch the division".
- Magic_number_(sports) hasPhotoCollection Magic_number_(sports).
- Magic_number_(sports) wikiPageUsesTemplate Template:For.
- Magic_number_(sports) wikiPageUsesTemplate Template:Refimprove.
- Magic_number_(sports) wikiPageUsesTemplate Template:Reflist.
- Magic_number_(sports) subject Category:Terminology_used_in_multiple_sports.
- Magic_number_(sports) hypernym Number.
- Magic_number_(sports) comment "In certain sports, a magic number is a number used to indicate how close a front-running team is to clinching a division title and/or a playoff spot. It represents the total of additional wins by the front-running team or additional losses (or any combination thereof) by the rival team after which it is mathematically impossible for the rival team to capture the title in the remaining games. This assumes that each game results in a win or a loss, but not a tie.".
- Magic_number_(sports) label "Magic number (sports)".
- Magic_number_(sports) sameAs Chiffre_magique_(sport).
- Magic_number_(sports) sameAs マジックナンバー_(野球).
- Magic_number_(sports) sameAs 매직_넘버.
- Magic_number_(sports) sameAs Número_mágico_(esporte).
- Magic_number_(sports) sameAs m.01zj5j.
- Magic_number_(sports) sameAs Q6730963.
- Magic_number_(sports) sameAs Q6730963.
- Magic_number_(sports) wasDerivedFrom Magic_number_(sports)?oldid=626458498.
- Magic_number_(sports) isPrimaryTopicOf Magic_number_(sports).