select all the correct locations on the chart. a high school is holding a contest in which the winner gets a…

select all the correct locations on the chart. a high school is holding a contest in which the winner gets a gift certificate to his or her favorite restaurant. a breakdown of the student body is given in the table below.\n| grade | number of students |\n| ---- | ---- |\n| freshman | 102 |\n| sophomore | 138 |\n| junior | 114 |\n| senior | 108 |\nif every student is equally likely to win, which of the following scenarios describe a fair way to choose the winner?\na. each student is randomly assigned to 6 equal - sized lots, then a six - sided number cube is rolled to choose one of the lots. finally, a student is randomly chosen from that lot.\nb. the students vote on which student they believe should win the prize.\nc. place the numbers 1 - 4 in a hat, and draw one to determine which grade is selected. assign each student in that grade a number, then use a random number generator to select one of the numbers.\nd. assign each student a number, then use a random number generator to select one of the numbers.

select all the correct locations on the chart. a high school is holding a contest in which the winner gets a gift certificate to his or her favorite restaurant. a breakdown of the student body is given in the table below.\n| grade | number of students |\n| ---- | ---- |\n| freshman | 102 |\n| sophomore | 138 |\n| junior | 114 |\n| senior | 108 |\nif every student is equally likely to win, which of the following scenarios describe a fair way to choose the winner?\na. each student is randomly assigned to 6 equal - sized lots, then a six - sided number cube is rolled to choose one of the lots. finally, a student is randomly chosen from that lot.\nb. the students vote on which student they believe should win the prize.\nc. place the numbers 1 - 4 in a hat, and draw one to determine which grade is selected. assign each student in that grade a number, then use a random number generator to select one of the numbers.\nd. assign each student a number, then use a random number generator to select one of the numbers.

Answer

Answer:

A. Each student is randomly assigned to 6 equal - sized lots, then a six - sided number cube is rolled to choose one of the lots. Finally, a student is randomly chosen from that lot. D. Assign each student a number, then use a random number generator to select one of the numbers.

Explanation:

Step1: Understand fairness concept

Fairness means each student has an equal chance of winning.

Step2: Analyze Option A

Dividing students into equal - sized lots and random selection from a chosen lot gives equal probability.

Step3: Analyze Option B

Voting is subjective and not random, so it's unfair as students may be biased in their voting.

Step4: Analyze Option C

Selecting a grade first and then a student from that grade gives different probabilities for students in different - sized grades.

Step5: Analyze Option D

Assigning numbers and using a random number generator gives each student an equal chance of being selected.