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8 kids are randomly grouped into an A team with 4 kids and a B team...

8 kids are randomly grouped into an A team with 4 kids and a B team with 4 kids. Each grouping is equally likely.

(a) What is the size of the sample space?

(b) There are three kids in the group, Alex and his two people from his hometown, Sarah and John.

What is the probability that Alex ends up on the same team with at least one person from his hometown?

Please show all work.

Math   Statistics-And-Probability   
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