Question

Alina, Robert, and Makayla are on the student council at their high school. They all want to go to a dinner where student council representatives from other schools will participate. However, only one student per school can go. How can a fair decision be made about who goes to the dinner?Select all that apply.

Answer 1

C. Write each student's name on a slip of paper and put the slips in a bag. Randomly draw a slip of paper. The student whose name is on the paper wins.

D. Roll a number cube. If it lands on 1 or 3, Alina wins. If it lands on 2 or 4, Robert wins. If it lands on 5 or 6, Makayla wins.

Explanation:

The ways in which a fair decision can be made about who goes to dinner, it must be taken into account that each one has the same possibilities and that all the scenarios are met.

Option A is not fair, for even numbers, there are 3 and for odd numbers there are 3, there are no chances for Makayla.

In option B, it is not taken into account that there are two events, and Robert has an advantage.

In option C, it is totally fair, everyone has the same chance.

Like option C, in option D the probabilities are the same in each case.

Therefore, the correct answers are:

C. Write each student's name on a slip of paper and put the slips in a bag. Randomly draw a slip of paper. The student whose name is on the paper wins.

D. Roll a number cube. If it lands on 1 or 3, Alina wins. If it lands on 2 or 4, Robert wins. If it lands on 5 or 6, Makayla wins.