Find the probability that on first day of classes

Classes of first year in a school are full and it is necessary to open new groups. We consider that half of the new students will be boys and the second half will be girls. The size of each group is limited to 18 students.
1. What is the probability that exactly 9 boys and 9 girls will be in a group?
2. What is the probability that 11 or more boys will be in the new group? Is this the same probability as there will be less than 7 girls in the group?
3. What is the probability that exactly 7 girls and 11 boys will be in the new group?
4. What is the probability that on the first day of classes when the doors are opened the first student to arrive to the classroom will be a girl?

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