Question to the Department for Education:
To ask the Secretary of State for Education, what proportion of adults who are (a) Black, Asian and minority ethnic, (b) with a special educational need or disability or (c) from disadvantaged backgrounds do not participate in any adult education or training.
Estimates for the proportion of different groups who do not participate in adult education and training are not available.
However, the department does produce equality and diversity information on current participants in further education (FE) and skills provision, published as part of its further education official statistics here https://www.gov.uk/government/statistical-data-sets/fe-data-library-further-education-and-skills.
The Higher Education Statistics Authority (HESA) also publish numbers of students in higher education by student characteristics here: http://www.hefce.ac.uk/analysis/eddata/.