NYYankees Yankees First-Place Clinch Scenario

NYYankees's traditional magic number (relative to first-place TampaBay) is 67 + 49 - 64 + 1 = 53.
NYYankees's first-place clinch number is 48.
NYYankees must win 48 more games (112 total) to clinch first place.

If NYYankees wins 48 more games, their final win total will be at least 112.
The table below shows the best case scenario for each of the other teams if NYYankees wins all 48 of their remaining games.
For each team, the table shows the current record (number of wins (W) and losses (L)) and the number of games that team has
left to play (GL) in the regular season. Taking the schedule of games left to play into account, the 'Losses to NYYankees' column gives the
minimum number of games that each team will lose to NYYankees if NYYankees wins 48 more games. Assuming that a team wins all of its remaining games except for
the games it loses to NYYankees, the resulting maximum number of wins is shown in the 'Maximum W' column.

Team             W	L	GL	Losses to NYYankees	Maximum W
TampaBay         67	46	49	       4 - 0 = 4	112 *See tie-breaking notes below.
Boston           61	51	50	       4 - 0 = 4	107
Baltimore        55	58	49	       6 - 0 = 6	98
Toronto          53	61	48	       6 - 0 = 6	95

Tie-breakers:
NYYankees has won 3 game(s) against TampaBay and lost 6.
There are 4 games left in the series.
In the scenario above, NYYankees wins 3 + 4 = 7 games against TampaBay and loses 6 + 0 = 6.

The table above shows that if NYYankees wins 48 more games (112 total), then they will finish the season in first place in the division.

To see that NYYankees's first-place clinch number cannot be less than 48, consider the following scenario in which NYYankees wins 47 more games (111 total) but does not finish in first place:

Team             W	L	PCT	GB
TampaBay         112	50	0.691	0.00
NYYankees        111	51	0.685	1.00
Boston           99	63	0.611	13.00
Baltimore        79	83	0.488	33.00
Toronto          61	101	0.377	51.00

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
TampaBay         67	46	49	0.593	0.0
NYYankees        64	50	48	0.561	3.5
Boston           61	51	50	0.545	5.5
Baltimore        55	58	49	0.487	12.0
Toronto          53	61	48	0.465	14.5

Next, we show how the remaining series of games in the division play out in the scenario:


Baltimore currently has 3 wins against Toronto and 4 losses.
  Baltimore wins 5 additional games against Toronto and loses 1.
  Baltimore wins the series 8 games to 5

Boston currently has 5 wins against Baltimore and 4 losses.
  Boston wins 3 additional games against Baltimore and loses 1.
  Boston wins the series 8 games to 5

Boston currently has 3 wins against Toronto and 6 losses.
  Boston wins 4 additional games against Toronto and loses 0.
  Boston wins the series 7 games to 6

NYYankees currently has 5 wins against Baltimore and 2 losses.
  NYYankees wins 6 additional games against Baltimore and loses 0.
  NYYankees wins the series 11 games to 2

NYYankees currently has 4 wins against Boston and 5 losses.
  NYYankees wins 4 additional games against Boston and loses 0.
  NYYankees wins the series 8 games to 5

NYYankees currently has 3 wins against TampaBay and 6 losses.
  NYYankees wins 4 additional games against TampaBay and loses 0.
  NYYankees wins the series 7 games to 6

NYYankees currently has 4 wins against Toronto and 3 losses.
  NYYankees wins 6 additional games against Toronto and loses 0.
  NYYankees wins the series 10 games to 3

TampaBay currently has 3 wins against Baltimore and 3 losses.
  TampaBay wins 7 additional games against Baltimore and loses 0.
  TampaBay wins the series 10 games to 3

TampaBay currently has 5 wins against Boston and 5 losses.
  TampaBay wins 3 additional games against Boston and loses 0.
  TampaBay wins the series 8 games to 5

TampaBay currently has 8 wins against Toronto and 2 losses.
  TampaBay wins 3 additional games against Toronto and loses 0.
  TampaBay wins the series 11 games to 2

Baltimore wins 18 games agains teams outside the division and loses 8.
Boston wins 31 games agains teams outside the division and loses 4.
NYYankees wins 27 games agains teams outside the division and loses 1.
TampaBay wins 32 games agains teams outside the division and loses 0.
Toronto wins 7 games agains teams outside the division and loses 22.

Combining the current standings with the wins and losses from the scenario results in the final standings listed above.
# NYYankees Yankees' magic number
# NYYankees's magic number
# Yankees' magic number
# MLB Playoff Race