[BuddyBear]

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?

[20Four7]

Yes it is possible.

Batter A RHP 1000 At bats 101 hits .101
Batter B RHP 100 at bats 10 hits .100

Batter A LHP 50 at bats 10 hits .200
Batter B LHP 1000 at bats 199 hits .199

Totals

Batter A 1050 111 .106
Batter B 1100 209 .190