New York Yankees First-Place Clinch Scenario

New York's traditional magic number (relative to second-place Baltimore) is 1 + 161 - 1 + 1 = 162.
New York's first-place clinch number is 155.
New York must win 155 more games (156 total) to clinch first place.

If New York wins 155 more games, their final win total will be at least 156.
The table below shows the best case scenario for each of the other teams if New York wins 155 of their remaining 161 games and loses the other 6.
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 155 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
Baltimore        1	0	161	      13 - 6 = 7	155
Tampa Bay        1	0	161	      13 - 6 = 7	155
Toronto          1	0	161	      13 - 6 = 7	155
Boston           0	1	161	      13 - 6 = 7	154

The table above shows that if New York wins 155 more games (156 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 155, consider the following scenario in which New York wins 154 more games (155 total) but does not finish in first place:

Team             W	L	PCT	GB
Tampa Bay        156	6	0.963	0.00
New York         155	7	0.957	0.00
Toronto          75	87	0.463	80.00
Baltimore        66	96	0.407	89.00
Boston           6	156	0.037	149.00

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Baltimore        1	0	161	1.000	0.0
New York         1	0	161	1.000	0.0
Tampa Bay        1	0	161	1.000	0.0
Toronto          1	0	161	1.000	0.0
Boston           0	1	161	0.000	1.0

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 0 losses.
  Baltimore wins 12 additional games against Boston and loses 0.
  Baltimore wins the series 13 games to 0

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

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

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

Tampa Bay currently has 0 wins against Baltimore and 0 losses.
  Tampa Bay wins 13 additional games against Baltimore and loses 0.
  Tampa Bay wins the series 13 games to 0

Tampa Bay currently has 0 wins against Boston and 0 losses.
  Tampa Bay wins 13 additional games against Boston and loses 0.
  Tampa Bay wins the series 13 games to 0

Tampa Bay currently has 0 wins against New York and 0 losses.
  Tampa Bay wins 7 additional games against New York and loses 6.
  Tampa Bay wins the series 7 games to 6

Tampa Bay currently has 0 wins against Toronto and 0 losses.
  Tampa Bay wins 13 additional games against Toronto and loses 0.
  Tampa Bay wins the series 13 games to 0

Toronto currently has 0 wins against Baltimore and 0 losses.
  Toronto wins 13 additional games against Baltimore and loses 0.
  Toronto wins the series 13 games to 0

Toronto currently has 0 wins against Boston and 0 losses.
  Toronto wins 13 additional games against Boston and loses 0.
  Toronto wins the series 13 games to 0

Baltimore wins 53 games agains teams outside the division and loses 57.
Boston wins 6 games agains teams outside the division and loses 104.
New York wins 109 games agains teams outside the division and loses 0.
Tampa Bay wins 109 games agains teams outside the division and loses 0.
Toronto wins 48 games agains teams outside the division and loses 61.

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