A student is preparing for an upcoming exam. The professor for the course has given the class 30 questions to study from and plans to select 10 of the questions for use on the actual exam. Suppose that the student knows how to solve 25 of the 30 questions.

a) What is the probability that the student will get perfect on the test?

b) What is the probability that the student will get at least 8 questions correct on the test?

Any help would be appreciated.