Answer :

To determine how many students do not regularly watch the TV programme, we start by finding out how many students do regularly watch it.

1. Identify the total number of students in the class:
- There are 48 students in the class.

2. Determine the fraction of students who watch the programme regularly:
- [tex]\(\frac{1}{4}\)[/tex] of the students watch the TV programme.

3. Calculate the number of students who watch the programme:
- Multiply the total number of students by the fraction who watch the programme.
- [tex]\[ \text{Number of students watching} = 48 \times \frac{1}{4} = 12 \][/tex]

4. Find the number of students who do not watch the programme:
- Subtract the number of students who watch the programme from the total number of students.
- [tex]\[ \text{Number of students not watching} = 48 - 12 = 36 \][/tex]

So, [tex]\(\boxed{36}\)[/tex] students do not regularly watch the TV programme.