https://www.pbs.org/newshour/nation/3-children-killed-in-shooting-at-nashville-private-schoolThings like what happened in Perry don't happen at private schools
6% of all school shootings happen at private schools….and private schools make up 25% of of the PK-12 schools in the US and 10% of all US students PK-12 are in private schools. Using those numbers, they happen more often at public schools, but not drastically so when you factor in the ratio of public to private.