For winning the World Series it is the Texas Rangers who have, through 2011, never won a WS. Their first season in MLB was 1961 as the Washington Senators. The two teams with longer droughts are the Chicago Cubs who last won in 1908 and the Cleveland Indians who last won in 1948.
For playing in a World Series it is the Seattle Mariners who have, through 2011, never played in a WS. Their first season in MLB was 1977. The two teams with longer droughts are the Chicago Cubs who last played in 1945 and the Washington Nationals who have never played in a WS since entering MLB in 1969 as the Montreal Expos.
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