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The Scenarios

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Boston just won, so the Red Sox remain in a tie with the Indians. However, if the Indians can take two out of three, they at the very worst will be playing on Monday. Here's the possibilities:

Outcome 1: Indians go 0-3 (93 wins)

  1. If the Red Sox (96) sweep the Yankees (94), the Indians miss the playoffs.
  2. If the Red Sox (95) win 2 of three from the Yankees (95), the Indians miss the playoffs.
  3. If the Yankees (96) win 2 of three from the Red Sox (94), the Indians miss the playoffs.
  4. If the Yankees (97) sweep the Red Sox (93), the Indians travel to Boston for a one-game playoff.
Outcome 2: Indians go 1-2 (94 wins)
  1. If the Red Sox (96) sweep the Yankees (94), the Indians host the Yankees for a one-game playoff.
  2. If the Red Sox (95) win 2 of three from the Yankees (95), the Indians miss the playoffs.
  3. If the Yankees (96) win 2 of three from the Red Sox (94), the Indians travel to Boston for a one-game playoff.
  4. If the Yankees (97) sweep the Red Sox (93), the Indians make the playoffs.
Outcome 3: Indians go 2-1 (95 wins)
  1. If the Red Sox (96) sweep the Yankees (94), the Indians make the playoffs.
  2. If the Red Sox (95) win 2 of three from the Yankees (95), the Indians become part of a three-team playoff; the Red Sox and Yankees play on Monday to determine the AL East winner, and the loser plays the Indians on Tuesday to determine the Wild Card winner.
  3. If the Yankees (96) win 2 of three from the Red Sox (94), the Indians make the playoffs
  4. If the Yankees (97) sweep the Red Sox (93), the Indians make the playoffs.
Outcome 4: Indians go 3-0 (96 wins)

The Indians make the playoffs no matter what happens between Boston and New York.

So the worst outcome in the BOS-NYY series is Boston winning 2 out of 3.