Final answer:
The sample space of the problem is {4,5} U {5,4} U {4,4} U {4,8} U {8,4} U {5,8} U {8,5}.
Step-by-step explanation:
The sample space of the given problem can be found by listing all possible outcomes. Since there are 4 numbers in the hat, the first draw can have 4 outcomes. After the first draw, there are 3 numbers remaining in the hat, so the second draw can have 3 outcomes. Therefore, the sample space is {4,5} U {5,4} U {4,4} U {4,8} U {8,4} U {5,8} U {8,5}.