Answer:
1/8.
Explanation:
In the given scenario, we can determine the fraction of students who play basketball by subtracting the fractions of students who play football and cricket from 1 (since the remaining students play basketball).
Given:
- 1/4 of the students play football.
- So, the fraction of students who don't play football is 1 - 1/4 = 3/4.
- 1/2 of the remaining students play cricket.
Therefore, the fraction of students who play cricket is (1/2) * (3/4) = 3/8.
The rest of the students play basketball, so the fraction of students who play basketball is 1 - (3/4) - (3/8) = 1/8.
Hence, 1/8 of the students play basketball.