Is academia a family business?
John Dorsch concludes that:
• Over 50% of tenure-track faculty have at least one parent with a graduate degree (master's or PhD).
• About 22% have a parent with a PhD.
• Faculty are up to 25× more likely than the general population to have a PhD-holding parent,
• At elite institutions, that figure rises to roughly 50 times higher.
While this is based on US survey data my guess is the rough magnitudes would hold for the UK too