Unit 6: What Do You Expect?
Hwk #9 – Making Purple
Name __________________________
1. A science club hosts a carnival to
raise money. The carnival features a
Making Purple game. The game
involves using both of the spinners
shown. If the player gets red on
spinner A and blue on spinner B, the
player wins, because mixing red and
blue makes purple.
a. List the possible outcomes when you spin both pointers. Are these outcomes equally likely?
Explain your reasoning.
b. What is the theoretical probability that a player “makes purple”? Show or explain how you
arrived at your answer.
c. Suppose 100 people play the Making Purple game. How many people do you expect to win?
d. The club charges $1 per turn. A player who makes purple receives $5. The club expects 100
people to play. How much money do you expect the club to make?
What Do You Expect?
Homework #9
2. A bag contains three green marbles and two blue marbles. You choose a marble, return it to the
bag and then choose again.
A. Which method (make a tree diagram, make a list, use an area model, or make a table or chart)
would you use to find the possible outcomes? Explain your choice.
B. Use your chosen method to find all the possible outcomes. Show your work.
3. Suppose you do this experiment 50 times. Predict the number of times you will choose two
marbles of the same color. Use the method you chose in #2b.
4. Kenisha is designing a game involving paths through the woods that lead to caves. A player first
choose Cave A or Cave B. Next, the player starts at the beginning and chooses a path at random at
each fork. If the player lands in the cave that was chosen in the beginning, he or she wins a prize.
a. Suppose a player chooses a path at random at each fork.
i. What is the theoretical probability that the player ends up in Cave A? ___________
ii. What is the theoretical probability that the player ends up in Cave B? ___________
Show how you arrived at your answer.
What Do You Expect?
Homework #9