Situation Simulated
Resources for this lesson:
You will use your Algebra II Journal 
on this page.
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> Teacher Resources: Instructional Notes
Allyson and Marissa are enjoying a soda while they finish their mathematics homework. A picture of their soda can is shown below.
Real-Life Scenarios
> Text version for animation
Marissa wants to simulate opening six soda cans to determine if she wins $50. There is a one in six chance of winning.
Check Your Understanding
Check Your Understanding
Marissa decides that rolling the number “3” will represent a winning can.
The table below is set up for Marissa to complete twenty trials of opening six-packs of soda to determine if she wins. Three trials have been done for you. You will complete this table in your Algebra II Journal.Trial |
Trial Results |
Win/ |
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1 |
2 1 3 2 6 4 |
Win |
2 |
2 5 2 6 5 1 |
Lose |
3 |
6 4 2 5 1 1 |
Lose |
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Algebra II Journal: Reflection 1
Respond to the following reflection questions in your Algebra II Journal and submit to your teacher.
- Complete the table using your own die, number cube or virtual die. Remember to roll your die/number cube six times, one roll per can of soda in the six-pack. Record your data in the table.
- Complete the Win/Lose column. Remember, rolling a “3” means you won.
- Determine the experimental probability of winning $50. That is, how many trials resulted in a win out of the twenty trials? Be sure to write your answer as a fraction or a percent.
- Based on the results of this simulation, would you expect to win $50 if you purchased a six-pack of soda? Use the results of your simulation to support your decision.
