At the International University, there are 100 Chinese Students, 200 Afghans, 50 Somalians, and 650 from Pakistan. Suppose ten students are chosen at random from the total of 1000 students. Calculate the probabilities for the following events:
1. All ten students are Pakistani.
2. There are exactly two Afghani students in the group of ten.
3. There are three or more Afghani students in the group.
4. The number of Afghani students is between 1 and 5, inclusive.
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