Game of the day: Boston at New York Yankees, 7:05 p.m. The Yankees are clinging to a one-game lead atop the American League East, and the Red Sox will be able to pull even with a win in the series opener on Tuesday. The Yankees have won six of their last seven games while Boston has won three straight after losing four in a row. Left-hander Jon Lester (7-2) will start for the Red Sox, looking to rebound from his worst start of the season when he allowed seven runs in 52 / 3 innings against the White Sox his last time out. Right-hander Freddy Garcia (4-4) is the scheduled starter for the Yankees, going for his third straight win. After this three-game series, the Yankees and Red Sox won’t face each other again until August.

Other game to watch:

Atlanta at Florida, 7:10 p.m. The regional rivals have struggled recently, but both remain in the hunt behind first-place Philadelphia in the National League East. Florida has lost five straight games and eight of its last 10, while Atlanta has lost four of its last six. The Marlins, who sent shortstop Hanley Ramirez to the disabled list Monday with a back strain, will send left-hander Brad Hand to the mound Tuesday to make his major league debut. Hand will start in place of injured ace Josh Johnson, who hasn’t pitched since May 16 because of right shoulder inflammation. Right-hander Tommy Hanson (6-4) will pitch for Atlanta, looking for his second win of the year against the Marlins after he threw seven scoreless innings against them April 12.

Stat you should know: 1. Win this season for White Sox left-hander John Danks after Danks finally earned a victory Monday in Chicago’s 3-1 win over Seattle. Before Monday, Danks was 0-8 with a 5.25 ERA through his first 11 starts of 2011.

Star of the night: Phillies left-hander Cliff Lee threw seven scoreless innings and struck out 10 in Philadelphia’s 3-1 win over the Dodgers. Lee now has 100 strikeouts this season, leading the major leagues.

Chatter: “We felt he’d have the biggest potential impact for us of anybody on the board.” — Pirates general manager Neal Huntington’s fairly obvious statement after Pittsburgh selected UCLA right-hander Gerrit Cole on Monday with the first overall pick in the MLB first-year player draft. Sixty players were selected Monday night, with the draft continuing Tuesday and Wednesday.