What percentage of people who get 4 A*s at a level get into Cambridge?

I was wondering how likely you would be to get an offer from Cambridge if you were predicted 4*s at a level, specifically on a course where the typical offer is A*A*A? Would it be highly likely providing you have a decent personal statement and do well in assessments and interviews?

In 2020, people predicted A*A*A* or higher made up 41% of the applications, two thirds of the offers and 69% of the acceptances. This corresponds to about half of people predicted A*A*A* for humanities getting an offer, and about 40% for the sciences. Over half of all applicants getting rejected is still quite a lot, not really "highly likely". Also bear in mind that it's more so the case that people predicted well over the entry requirement are generally going to be "better", not necessarily that having predictions well over the requirements helps in itself. (though it certainly doesn't hurt)

https://www.undergraduate.study.cam.ac.uk/sites/www.undergraduate.study.cam.ac.uk/files/publications/ug_admissions_statistics_2020_cycle.pdf#page=9

These refer to grades achieved at the end of the application cycle, not predicted grades at the time of applying. Although you could argue that in 2020 achieved grades and predicted grades were basically the same thing, anyway!

No. In no sense would it be 'highly likely'. Note, too, that the majority of students who are predicted four A* grades do not achieve four A* grades.

Having higher than the minimum entry requirement is one step along the path - but it doesn't, in and of itself, make receiving an offer 'highly likely'.