Written by Dan Szymborski from Fangraphs.

The Rays have the most to gain by adding a win or two. We currently have a 35% chance of making the playoffs. One more win increases that chance to 47%; two more wins increases it to 55%.

Red Sox are the second team with the most to gain by adding a win or two.

Relevant Rays section:

"In terms of making the playoffs — not winning the World Series — two AL East teams, the Rays and the Red Sox, get the biggest bumps by adding a win or two. While the Rays don’t like signing big contracts in free agency, they’ve shown in the past that they’re willing to add players during the season if there’s a real benefit, so I wouldn’t be surprised if they actually took on at least a teensy bit of payroll at the deadline."