A class of 12 girls and 14 boys is going to choose 3 students to represent them in student government. Allie suggested that the
first 3 students to arrive in class the next day should be the representatives. Bobby suggested that each student roll 2 numbers cubes and the 3 students with the highest sum should be the representatives. Whose method would result in a fair sample that represents the class population, and why?.
The method suggested by Bobby is better than Allie.
<h2>Step-by-step explanation:</h2>
A fair sample is a sample where each sample has an equal opportunity to get selected for any survey.
Here, in the given question, Allie suggested that the first 3 students to arrive in class the next day should be the representatives. This sample is not random or fair.
Whereas, Bobby suggested that each student roll 2 numbers cubes and the 3 students with the highest sum should be the representatives. This method is a fair method.
The method suggested by Bobby is better than Allie as every student will get an equal chance to perform and also has an equal chance to win and get a high sum.
Bobby, because every student has an equal chance to get a high sum
Explanation:
Allie suggesting that the first 3 students to arrive in class the next day should be the representatives would not result in a fair sample because not everyone would have the chance to get to school early enough.Bobby suggesting that each student roll 2 numbers cubes and the 3 students with the highest sum should be the representatives would result in a fair sample because everyone would get a chance to roll the number cubes.