In a class of 60 students, the number of students who passed biology is 6 more than the pupil who passed chemistry.Every students pass at least two subjects and 8 student pass both subject. How many students pass only one subject and what is the probability of the students who pass exactly two subject
Let x be the number of students who passed chemistry.
The number of students who passed biology is x + 6.
8 students passed both subjects, so x + (x + 6) - 8 = 60.
Combining like terms, we get 2x - 2 = 60.
Adding 2 to both sides, we get 2x = 62.
Dividing both sides by 2, we get x = 31.
Thus, 31 students passed chemistry and 31 + 6 = <<31+6=37>>37 students passed biology.
The number of students who passed only one subject is 31 + 37 - 8 = <<31+37-8=60>>60 students.
The probability of the students who pass exactly two subjects is 8/60 = 2/15. Answer: \boxed{\frac{2}{15}}