This question tests the skill of using probability to make fair decisions. Fairness means that each of the three students has an equal probability of 1/3 of being selected as messenger. In the correct method, choice B, a fair 6-sided die is rolled, with two numbers for each student, so each corresponds to two out of six equally likely outcomes. This assigns equal chances because the die is fair, making each grouping equally probable. One incorrect method, choice A, introduces bias by giving Eli a 1/2 probability from the coin and then splitting the rest unequally with the die. Remember that fairness is about equal chances for each option, not about guaranteeing equal results over multiple trials. To apply this elsewhere, list all possible outcomes and check if each is equally likely.

This question tests the skill of using probability to make fair decisions. Fairness means that each of the three teams has an equal probability of 1/3 of getting home-field advantage. In the correct method, choice A, a fair 6-sided die is rolled, with two numbers assigned to each team, so each team corresponds to two out of six equally likely outcomes. This assigns equal chances because the die is fair, making each number equally probable and thus each team equally likely. One incorrect method, choice B, introduces bias by having one spinner section twice as large, leading to unequal probabilities for the teams. Remember that fairness is about equal chances for each option, not about guaranteeing equal results over multiple trials. To apply this elsewhere, list all possible outcomes and check if each is equally likely.

This question tests the skill of using probability to make fair decisions. Fairness means that each of the six students has an equal probability of 1/6 of being chosen to lead. In the correct method, choice A, a spinner with six equal sections labeled A through F is spun once, creating six equally likely landing spots. This assigns equal chances because the sections are equal, making each outcome equally probable. One incorrect method, choice B, introduces bias by using dice sums that are not equally likely and re-rolling higher sums, leading to unequal probabilities like 1/21 for A and 6/21 for F. Remember that fairness is about equal chances for each option, not about guaranteeing equal results over multiple trials. To apply this elsewhere, list all possible outcomes and check if each is equally likely.

This question tests the skill of using probability to make fair decisions. Fairness means that each of the four classmates has an equal probability of 1/4 of being chosen to clean up. In the correct method, choice C, four identical slips with the names are put in a hat and one drawn without looking, creating four equally likely slips. This assigns equal chances because the slips are identical and the draw is random. One incorrect method, choice B, introduces bias by assigning dice sums that have different numbers of ways to occur, like 6/36 for Hana's range and 15/36 for Idris's. Remember that fairness is about equal chances for each option, not about guaranteeing equal results over multiple trials. To apply this elsewhere, list all possible outcomes and check if each is equally likely.

This question tests the skill of using probability to make fair decisions. Fairness means that each of the five friends has an equal probability of 1/5 of getting the first turn. In the correct method, choice B, five identical cards with the names are put in a bag, shaken, and one drawn, so there are five equally likely cards to select. This assigns equal chances because each card is identical and the shaking ensures random selection. One incorrect method, choice A, introduces bias by assigning two die outcomes to Priya and one to each other, leading to probabilities of 1/3 for Priya and 1/6 for others. Remember that fairness is about equal chances for each option, not about guaranteeing equal results over multiple trials. To apply this elsewhere, list all possible outcomes and check if each is equally likely.

This question tests the skill of using probability to make fair decisions. Fairness means that each of the two students has an equal probability of 1/2 of getting the window seat. In the correct method, choice B, a fair coin is flipped once, with heads for Jada and tails for Noor, creating two equally likely outcomes. This assigns equal chances because the coin is fair, giving each side the same probability. One incorrect method, choice D, introduces bias by assigning four die outcomes to Jada and two to Noor, resulting in probabilities of 2/3 and 1/3. Remember that fairness is about equal chances for each option, not about guaranteeing equal results over multiple trials. To apply this elsewhere, list all possible outcomes and check if each is equally likely.

This question tests the skill of using probability to make fair decisions. Fairness means that each of the four songs has an equal probability of 1/4 of being chosen first. In the correct method, choice A, a random number generator outputs 1 through 4 with equal probability, each assigned to one song, creating four equally likely outcomes. This assigns equal chances because the generator ensures each number is equally probable. One incorrect method, choice B, introduces bias by making the W section half the spinner, resulting in 1/2 probability for W and 1/6 for each other. Remember that fairness is about equal chances for each option, not about guaranteeing equal results over multiple trials. To apply this elsewhere, list all possible outcomes and check if each is equally likely.

This question tests the skill of using probability to make fair decisions. Fairness means that each of the four students has an equal probability of 1/4 of being selected to present first. In the correct method, choice B, each student's name is written on an identical slip, mixed in a cup, and one is drawn, so there are four equally likely outcomes corresponding to the four names. This assigns equal chances because each slip has the same probability of being drawn due to thorough mixing. One incorrect method, choice A, introduces bias by using marbles of different colors with unequal numbers, likely leading to unequal selection probabilities depending on color assignments. Remember that fairness is about equal chances for each option, not about guaranteeing equal results over multiple trials. To apply this elsewhere, list all possible outcomes and check if each is equally likely.

This question tests the skill of using probability to make fair decisions. Fairness means that each of the three movie options has an equal probability of 1/3 of being selected. In the correct method, choice B, a fair 6-sided die is rolled, with two numbers for each option, so each corresponds to two out of six equally likely outcomes. This assigns equal chances because the die is fair, ensuring equal probability for each grouping. One incorrect method, choice C, introduces bias by making the Documentary section smaller on the spinner, leading to a lower probability for it. Remember that fairness is about equal chances for each option, not about guaranteeing equal results over multiple trials. To apply this elsewhere, list all possible outcomes and check if each is equally likely.

The skill here is using probability to make fair decisions among three teams: Red, Blue, and Green. Fairness means each team has an equal probability of 1/3 of being chosen for the first slot. In the correct method, a fair six-sided die is rolled, assigning 1–2 to Red, 3–4 to Blue, and 5–6 to Green. This assigns equal chances because each pair of numbers has the same two outcomes out of six, making each team's probability 2/6 or 1/3. One incorrect method is rolling a die with 1–3 for Red, 4–5 for Blue, and 6 for Green, which introduces bias by giving Red a higher probability of 3/6. Remember, fairness is about equal chances for each selection, not about equal outcomes over multiple trials. To apply this elsewhere, list all possible outcomes and check if each option is equally likely.