Question

For the following problems, use the following scenario. A teacher wants to select 5 of the 26 students in her class to work out a problem on the board. Determine whether the strategy would result in a fair or unfair decision. (a) The names of all the students are written on paper and drawn from a hat. The first five names drawn will work the board.(b) The name of the students listed alphabetically and the teachers choose the first 5 names.(c)The teachers choose the First 5 students to enter the classroom. (d)The teacher assigns each student a number and spins a spinner number 1 to 26. The teacher chooses the students with the first 5 different numbers that she spins.

Answer 1

• Fair Decision

,

• Unfair Decision

,

• Unfair Decision

,

• Fair Decision

Step-by-step explanation:

Part A

The names of all the students are written on paper and drawn from a hat. The first five names drawn will work the board.​

This is an entirely random selection.

Thus, the strategy would result in a fair decision.

Part B

If the names of the students are listed alphabetically and the teachers choose the first 5 names, this is not a random selection.

Thus, the strategy would result in an unfair decision.

Part C

If the teacher chooses the first 5 students to enter the classroom, this is not a random selection.

Thus, the strategy would result in an unfair decision.

Part D

A selection made using a spinner is a random selection.

Thus, the strategy would result in a fair decision.