A group of 8 students arrives at an examination. Of these students 1 is very well prepared, 2 are well prepared, 3 are satisfactorily prepared, and 2 are insufficiently prepared. There is a total of 16 questions. A very well prepared student can answer all of them, a well prepared 12 , a satisfactorily prepared 8 , and an insufficiently prepared 4 . Each student has to draw randomly 4 questions. Student Frank could answer all the 4 questions. What is the probability that Frank

(1) was very well prepared,

(2) was satisfactorily prepared,

(3) was insufficiently prepared?

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