Standard #: MA.912.DP.6.2


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Develop a probability distribution for a discrete random variable using theoretical probabilities. Find the expected value and interpret it as the mean of the discrete distribution.


Related Courses

Course Number1111 Course Title222
1210300: Probability and Statistics Honors (Specifically in versions: 2014 - 2015, 2015 - 2019, 2019 - 2022, 2022 - 2024, 2024 and beyond (current))


Related Resources

Lesson Plans

Name Description
Proposed Budgets

In this Model Eliciting Activity (MEA), students will analyze federal budget data to propose strategic allocations using mathematical skills like expected value calculations and data normalization to justify their recommendations.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. MEAs resemble engineering problems and encourage students to create solutions in the form of mathematical and scientific models. Students work in teams to apply their knowledge of science and mathematics to solve an open-ended problem while considering constraints and tradeoffs. Students integrate their ELA skills into MEAs as they are asked to clearly document their thought processes. MEAs follow a problem-based, student-centered approach to learning, where students are encouraged to grapple with the problem while the teacher acts as a facilitator. To learn more about MEAs visit: https://www.cpalms.org/cpalms/mea.aspx

Winner! Winner! - Expected Values

County Fairs and Carnivals are wonderful. The smell of the food, the thrill of the rides, and the chance to win prizes make for a perfect combination.

In this Model Eliciting Activity, MEA Winner! Winner! is an activity about the Carnival coming to town with seven (7) exciting games: Rolling Dice, Bottle Bowling, Fishbowl, Weigh in on That! Pin the Wing, Colors, and Spin It! Student groups must look at the cost, rules, and awarded prizes in order to give the best rank order for these games. The groups will be expected to give details on the procedures they used to develop their ranking order. Furthermore, students will be expected to calculate the expected values of the Rolling Dice game and interpret the results in context.

All of a sudden more information is collected about these Carnival Games and now the savvy students must use this information to either revise or rewrite their procedures. Then, when the students are ready to attack this new dilemma, they will encounter Andy, a Carnival Lover, who has had a thrilling time but now discovers his funds are running low. Which games will the students select for Andy and why?

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. MEAs resemble engineering problems and encourage students to create solutions in the form of mathematical and scientific models. Students work in teams to apply their knowledge of science and mathematics to solve an open-ended problem, while considering constraints and tradeoffs. Students integrate their ELA skills into MEAs as they are asked to clearly document their thought process. MEAs follow a problem-based, student centered approach to learning, where students are encouraged to grapple with the problem while the teacher acts as a facilitator. To learn more about MEA’s visit: https://www.cpalms.org/cpalms/mea.aspx.

Perspectives Video: Expert

Name Description
History of Probability and the Problem of Points

What was the first question that started probability theory?

Download the CPALMS Perspectives video student note taking guide.

Problem-Solving Tasks

Name Description
Bob's Bagel Shop

The purpose of this task is to assess a student's ability to compute and interpret the expected value of a random variable.

Random Walk III

The task provides a context to calculate discrete probabilities and represent them on a bar graph.

Student Resources

Problem-Solving Tasks

Name Description
Bob's Bagel Shop:

The purpose of this task is to assess a student's ability to compute and interpret the expected value of a random variable.

Random Walk III:

The task provides a context to calculate discrete probabilities and represent them on a bar graph.



Parent Resources

Problem-Solving Tasks

Name Description
Bob's Bagel Shop:

The purpose of this task is to assess a student's ability to compute and interpret the expected value of a random variable.

Random Walk III:

The task provides a context to calculate discrete probabilities and represent them on a bar graph.



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