What happens in games when one team has a higher OPS and the other has a higher AVG?

I don't recall seeing this specific question raised before. So I asked bases.chat, the AI program created by fellow SABR Ted Ingram. If there is a way to search this easily on Stathead or somewhere else I don't know what that is.

In almost every year I looked at, the teams that have a higher OPS than their opponent in games when the other team had a higher AVG win at least 66% of the time and sometimes over 70%. The lowest year was just 64%. 

I had it check several different years (At first I just did 2021-25 but Jessica Brand suggested I look at earlier periods to see if there was a trend). The table below has the results. After that will be a table summarizing the three periods.

Season	Divergent Games	Wins	Win %
1982	298	218	73.20%
1983	270	185	68.50%
1984	270	183	67.80%
1985	279	197	70.60%
1986	304	203	66.80%
2001	321	206	64.20%
2002	313	212	67.70%
2003	335	229	68.40%
2004	328	233	71.00%
2005	344	227	66.00%
2021	311	218	70.10%
2022	313	225	71.90%
2023	347	239	68.90%
2024	289	205	70.90%
2025	301	203	67.40%

Divergent games just means how many such games happened in each year. 

Now the summary table.

Season	Divergent Games	Wins	Win %
1982-86	1421	986	69.39%
2001-05	1641	1107	67.46%
2021-25	1561	1090	69.83%
Total	4623	3183	68.85%

Earlier I said I did not know how to search this without bases.chat. But I did ask it which team in 2025 played in the most games like this and it said it was the Orioles and that they were 14-3 in those games. 

I called up the batting game logs for the Orioles at Baseball Reference and then used Stathead to find the same logs for their opponents. By sorting, matching games and finding differentials I could see that the Orioles were 14-3 in such games. So that helps show that bases.chat was doing this right.