Not as many as in the olden days. You have to be a major donor or seriously active alumnus (or alumna) to think you'll get a legacy spot for one of your kids. Your odds are much better if you are black and a good athlete.
If you look at some of the data from the Harvard-UNC court case you'll find: "Most African Americans fell into the bottom 20 percent of all applicants to both Harvard and UNC, but they were admitted at the highest rate for almost every performance decile, followed by Hispanic, white, and Asian applicants.
Many schools are secretly hoping the Supreme Court rules against Harvard because they have been scooping up all the talented black applicants. Less prestigious school have to work hard to even get marginal minority students. Harvard and Stanford get the top ones.
The way legacy works at my Ivy alma mater is that it might tip the balance for an applicant if all other things were equal, legacy could be a deciding factor. This of course doesn’t include those legacy applicants whose family donate big bucks etc. I’m sure those are in a different category :-)
“Many schools are secretly hoping the Supreme Court rules against Harvard because they have been scooping up all the talented black applicants.”
I don’t talk about it much but I am a Harvard grad.
The “talented blacks” at Harvard were—to put it bluntly—mostly pathetic (with a very few exceptions).
They continued on to rise way above their talent level in the corporate world due to affirmative action.
Almost inevitably they finally got promoted high enough so they could do real damage to their employer—and then their lack of intelligence and competence became toxic to everyone around them.