Assign each person a unique combination of the results of rolling a die and flipping a nickel.
See solution.
Practice makes perfect
We know that Coach Kenadt has 12 players on his basketball team and that he needs to select one player. He wants each player to have an equal chance of being selected. He can use a single six-sided die and a nickel to make the selection. First, let's recall that there are 2 possible outcomes when we flip a coin.
We can get either tails (T) or heads (H). Next, when we roll a die, there are 6 possible outcomes.
This means that if we flip the coin and roll the die at the same time, we have 2* 6= 12 possible different combinations of outcomes. Let's list them!
Tails (T)
Heads (H)
1
1T
1H
2
2T
2H
3
3T
3H
4
4T
4H
5
5T
5H
6
6T
6H
Therefore, Coach Kenadt could assign each player a unique combination of outcomes. Then he could roll the die and flip the coin together and use the result to choose the team representative.
