New York Yankees First-Place Clinch Scenario

New York's traditional magic number (relative to second-place Tampa Bay) is 35 + 107 - 35 + 1 = 108.
New York's first-place clinch number is 102.
New York must win 102 more games (137 total) to clinch first place.

If New York wins 102 more games, their final win total will be at least 137.
The table below shows the best case scenario for each of the other teams if New York wins 102 of their remaining 104 games and loses the other 2.
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 New York' column gives the
minimum number of games that each team will lose to New York if New York wins 102 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 New York	Maximum W
Tampa Bay        35	20	107	       8 - 2 = 6	136
Baltimore        27	32	103	       6 - 2 = 4	126
Toronto          29	30	103	       9 - 2 = 7	125
Boston           24	33	105	      10 - 2 = 8	121

The table above shows that if New York wins 102 more games (137 total), then they will finish the season in first place in the division.

To see that New York's first-place clinch number cannot be less than 102, consider the following scenario in which New York wins 101 more games (136 total) but does not finish in first place:

Team             W	L	PCT	GB
Tampa Bay        136	26	0.840	0.00
New York         136	26	0.840	0.00
Baltimore        81	81	0.500	55.00
Boston           64	98	0.395	72.00
Toronto          57	105	0.352	79.00

Tie breakers
Tampa Bay wins the season series with New York 7 games to 6.

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Tampa Bay        35	20	107	0.636	0.0
New York         35	23	104	0.603	1.5
Toronto          29	30	103	0.492	8.0
Baltimore        27	32	103	0.458	10.0
Boston           24	33	105	0.421	12.0

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


Baltimore currently has 1 wins against Boston and 2 losses.
  Baltimore wins 10 additional games against Boston and loses 0.
  Baltimore wins the series 11 games to 2

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

New York currently has 3 wins against Boston and 0 losses.
  New York wins 10 additional games against Boston and loses 0.
  New York wins the series 13 games to 0

New York currently has 2 wins against Toronto and 2 losses.
  New York wins 9 additional games against Toronto and loses 0.
  New York wins the series 11 games to 2

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

Tampa Bay currently has 2 wins against Boston and 1 losses.
  Tampa Bay wins 10 additional games against Boston and loses 0.
  Tampa Bay wins the series 12 games to 1

Tampa Bay currently has 4 wins against New York and 1 losses.
  Tampa Bay wins 3 additional games against New York and loses 5.
  Tampa Bay wins the series 7 games to 6

Tampa Bay currently has 5 wins against Toronto and 1 losses.
  Tampa Bay wins 7 additional games against Toronto and loses 0.
  Tampa Bay wins the series 12 games to 1

Toronto currently has 2 wins against Baltimore and 1 losses.
  Toronto wins 10 additional games against Baltimore and loses 0.
  Toronto wins the series 12 games to 1

Toronto currently has 2 wins against Boston and 1 losses.
  Toronto wins 6 additional games against Boston and loses 4.
  Toronto wins the series 8 games to 5

Baltimore wins 44 games agains teams outside the division and loses 26.
Boston wins 36 games agains teams outside the division and loses 29.
New York wins 71 games agains teams outside the division and loses 0.
Tampa Bay wins 74 games agains teams outside the division and loses 1.
Toronto wins 12 games agains teams outside the division and loses 55.

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