Say you have two baseball hitters: Batter A and Batter B.
Batter A has a higher batting average against right-handed pitchers.
Batter A has a higher batting average against left-handed pitchers.
Is it possible that Batter B has a better overall batting average than Batter A?
Batter A has a higher batting average against right-handed pitchers.
Batter A has a higher batting average against left-handed pitchers.
Is it possible that Batter B has a better overall batting average than Batter A?