It is interesting to consider just how over-represented the major public schools are in parliament/government. There are around 500,000 pupils in independent schools in the UK. Eton College has about 1300 pupils. There are over three million pupils in UK state secondary schools. Thus, in each year, around 1 in 2600 school-leavers was an Eton pupil.
In recent elections, around 120 new MPs have been elected. If entry to parliament was distributed equally by school attended, then we would expect to see one new Old Etonian entering parliament every 21 elections!