A class of 24 students wants to choose 3 students at random to bring food for a class party. Any set of 3 students should have an equal chance of being chosen. Which of the following strategies will result in a fair decision?

A. Assign a number to each student. Write the numbers on slips of paper and put them all in a hat. Randomly choose three slips of paper. The students with those three number can bring the food.

B. Arrange the students in a line. Start at one end and have each student flip a coin. The first three students to flip heads can bring the food.

C. Ask the students to volunteer. The first three students to raise their hands can bring the food.

D. None of the above.

Question

Mathematics

Kael Reynolds

21 June, 21:41

A class of 24 students wants to choose 3 students at random to bring food for a class party. Any set of 3 students should have an equal chance of being chosen. Which of the following strategies will result in a fair decision?

A. Assign a number to each student. Write the numbers on slips of paper and put them all in a hat. Randomly choose three slips of paper. The students with those three number can bring the food.

B. Arrange the students in a line. Start at one end and have each student flip a coin. The first three students to flip heads can bring the food.

C. Ask the students to volunteer. The first three students to raise their hands can bring the food.

D. None of the above.

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Answers (1)

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Malik Figueroa · Answer 1

Answer: option A. Assign a number to each student. Write the numbers on slips of paper and put them all in a hat. Randomly choose three slips of paper. The students with those three number can bring the food.

In option B likely many students will not have chance to flip the coin, because the therer is a big chance that the trhee heads appear before reaching the last students.

Option C some students may not want to raise their hands or are not as fast as others.