  A same-score streak in sports is a sequence of games where the scores are
equivalent in all games. The motivating problem arose from college basketball,
however due to the difficulty in collecting data, streaks in Major League
Baseball (MLB) were studied instead. This paper explores the historic data from
regular-season games between 1901 and 2019 to include the likelihood of streaks
of length 2, 3 and 4. Then we explore various probability models for the
distribution of runs scored during MLB games and seasons and generate simulated
statistics for the same length of streaks.
