Question

Mr. Piper is driving Roddy and Scott home from school. They both want to ride in the front seat. How can he make a fair decision about who rides in the front seat?Select all of the correct answers.
A.Put each person's name on a separate piece of paper in a bag. Randomly draw the winning name.
B.Flip a coin twice. If both tosses are heads, Roddy wins. If one is heads and one is tails, Scott wins.
C.Roll a number cube. If it lands on 1 or 2, Roddy wins. If it lands on any other number, Scott wins.
D.Roll a number cube. If it lands on an even number, Roddy wins. If it lands on an odd number, Scott wins.

Answer 1

Answer:

A.Put each person's name on a separate piece of paper in a bag. Randomly draw the winning name; and D.Roll a number cube. If it lands on an even number, Roddy wins. If it lands on an odd number, Scott wins.

Step-by-step explanation:

In order for it to be a fair decision, both boys have to have an equal chance of being selected.

For choice A, drawing their names from a bag, both names are equally likely to be chosen; that makes this fair.

For choice B, there is 1 way to get both heads when flipping a coin.  There are 2 ways to get heads and tails when flipping a coin.  This gives Scott a greater chance, so this is not fair.

For choice C, there are 2 ways to get a 1 or a 2.  There are 4 ways to get anything else.  This gives Scott a greater chance, so this is not fair.

For choice D, there are 3 even numbers and 3 odd numbers.  Both boys have an equal chance, so this is fair.