Candy Callipso, the CEO of the Moon & Mercury Candy Company, has a crisis! She has hired your team to help her solve a problem. A customer ordered a thousand bubblegum machines and specified that each one should have a probability of exactly 1 3 for getting a blue gumball. The bubblegum machines were created and sent out, but the customer has called, claiming that the machines were filled incorrectly. Candy’s records show that each machine was filled with 4 yellow gumballs, 8 red gumballs, 16 green gumballs, and 20 blue gumballs. Your Task: Work with your team to: • Figure out whether the machines meet the customer’s requirements. o If they do, find at least two other combinations of gumballs that would satisfy the picky customer. o If they do not, find at least two ways to adjust the contents of the machines so that the probability of getting a blue gumball is exactly 1 3 . • Prepare a poster to report to Candy each of your proposed solutions. Be sure to explain how you know each solution will work.
Transcript
128 Core Connections, Course 2
Chapter 1 Closure What have I learned? • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • Reflection and Synthesis The activities below offer you a chance to reflect about what you have learned during this chapter. As you work, look for concepts that you feel very comfortable with, ideas that you would like to learn more about, and topics you need more help with. SUMMARIZING MY UNDERSTANDING This section gives you an opportunity to show what you know about the main math
ideas in this chapter. Candy Callipso, the CEO of the Moon & Mercury
Candy Company, has a crisis! She has hired your team to help her solve a problem. A customer ordered a thousand bubblegum machines and specified that each one should have a probability of exactly 13 for getting a blue gumball. The bubblegum machines were created and sent out, but the customer has called, claiming that the machines were filled incorrectly. Candy’s records show that each machine was filled with 4 yellow gumballs, 8 red gumballs, 16 green gumballs, and 20 blue gumballs.
Your Task: Work with your team to:
• Figure out whether the machines meet the customer’s requirements. o If they do, find at least two other combinations of gumballs that would
satisfy the picky customer. o If they do not, find at least two ways to adjust the contents of the
machines so that the probability of getting a blue gumball is exactly 13 . • Prepare a poster to report to Candy each of your proposed solutions. Be sure
to explain how you know each solution will work.
[ The current probability is 2048 = 512 , which does not meet the requirements. One
possibility is to add 12 other colored gumballs to each dispenser. Then the total blue is 20 and the total gumballs is 60, making P(blue) 2060 or 13 . Another possibility is to subtract 6 blue gumballs from each dispenser so that the total number of gumballs is 42 and there are 14 blue gumballs, making P(blue) = 14
42 or 13 . Other possibilities might include adding a combination of blue and other color gumballs to get to P(blue) = 1
