OK. I cannot see the sheet again because I am back at work, so I am just going to set up a simple example to show you how to get your counts if you use a new column for the winners.
Let's say that you insert a column into column A for your winners, and columns B and C are the listing of the two teams.
Now let's say that your first person is in column D. And the games are listed in rows 2-17.
Then, to count the number of matches (games they got right), you can enter this formula in cell D18:
Code:
=SUMPRODUCT(COUNTIF(D2:D18,$A2:$A18))
If you instead want to return the number they got wrong, just subtract this number from the total number of games, i.e.
Code:
=COUNTA($A2:$A18)-SUMPRODUCT(COUNTIF(D2:D18,$A2:$A18))
I think that should give you what you want.
To read more on the method I used for the counts, see this:
https://exceljet.net/formula/count-total-matches-in-two-ranges