A basket contains 20 slips of paper, each with a different student's name on it. Eight of the names are boys and 12 are girls. Six different names are selected at random, and those students will win fantastic prizes.

1. Explain why this scenario can be modelled using a hypergeometric distribution.

1. Show a full probability distribution for the number of girls who win prizes.

1. Determine the expected number of girls who win prizes using two methods and confirm that they are equal. If not, explain any differences.

1. Rewrite the situation described above to change it to a binomial distribution (no need to solve, just rewrite the above scenario).