There are 2 teams - Team A and Team B. Both teams play 2 matches. In both matches, Team A has a higher pass rate than Team B. Can the overall combined pass rate for Team B be higher than that of Team A?
Pass rate = (number of passes successful) / (number of passes attempted)
Combined Pass rate = (total no. of passes successful in both matches) / (total no. of passes attempted in both matches)
My gut feeling is that it should be possible based on Simpson's Paradox where if there is a huge disparity in the number of passes attempted then it's possible. Not sure if I'm correct or wrong.
Wondering if it's possible, could anyone come up with an example of the same in terms of numbers? I'm unable to think of numbers that could make it possible.