In a given training center, the total number of students is (100) students. (70) students are taking training course 1,

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In a given training center, the total number of students is
(100) students. (70) students are taking training course 1, and
(50) students are taking training course 2. (30) students are
taking both course 1 and course 2.
F. If 5 students are chosen randomly; what is the probability
that at most 3 students are taking any of these two courses?
G. Define two events as follows:
-A: The student is taking course 1.
-B: The student is taking course 2.
Are events (A & B) independent or not? Justify your
answer.
* Detailed and clear solution please *