Two ancillary issues:
In-state UCB applicants, for some disciplines, have a tougher time being admitted than OOS applicants, because CA needs the $$ from OOS tuition. That drives the acceptance rate down for the coveted UCB COE slots. That is, lots of CA kids are being rejected for monetary reasons, not because of academic qualifications.
“If you scan CC you will see many kids accepted to MIT but were rejected by Berkeley”
I wonder how many of those kids accepted by MIT, but rejected by UCB, are CA residents.
MIT is private and desires gender balance. I doubt that UCB can legally discriminate based on gender. The admit rate for women MIT applicants is roughly twice that for men. If you look at the CDS, the MIT admit rate for men is only around 6%. The same gender bias (favoring women applicants) holds for Caltech and Harvey Mudd.