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Math; please help I will mark brainliest! ASAP

Of all the 6 students on the Math Olympiad team, 3 members
are seventh-grade students and 3 are eighth-grade students. The
coach will place equal-sized tickets labeled A7, B7, C7, D8, E8, and
F8 to represent each team member in a hat and randomly select
two tickets to choose the team captains.


1. Write the sample space of all possible pairs of students. How many pairings are possible?


2. What is the probability that both team captains will be seventh-grade students? Explain.


3. Jamal, one of the team members in seventh grade, wonders about the probability that he and another seventh-grade student will be selected. Is this probability equal to the probability determined in Exercise 2? Explain.


4. Samantha is one of the team members in eighth grade. She wonders about the probability that she and another eighth-grade student will be chosen as team captains. Explain why this is equal to the probability determined in Exercise 3.

5.Is it more likely that there will be a captain from each grade as compared to the probability that both captains will be in the same grade? Explain