What is the probability of rolling a composite number with one roll of a die

Total number of possible outcomes (faces on the cube) = 6.

The prime numbers are 2, 3, and 5.

The composite numbers are 4 and 6.

(I think '1' is not included in either category.)

There are 2 composite numbers on the cube, out of 6 faces.

So the probability of rolling one is

2/6 = 1/3 = 33 and 1/3 %.