Standard #: MA.8.DP.2.3


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Solve real-world problems involving probabilities related to single or repeated experiments, including making predictions based on theoretical probability.


Examples


Example: If Gabriella rolls a fair die 300 times, she can predict that she will roll a 3 approximately 50 times since the theoretical probability is begin mathsize 12px style 1 over 6 end style.

Example: Sandra performs an experiment where she flips a coin three times. She finds the theoretical probability of landing on exactly one head as begin mathsize 12px style 3 over 8 end style. If she performs this experiment 50 times (for a total of 150 flips), predict the number of repetitions of the experiment that will result in exactly one of the three flips landing on heads.



Clarifications


Clarification 1: Instruction includes making connections to proportional relationships and representing probability as a fraction, percentage or decimal.

Clarification 2: Experiments to be repeated are limited to tossing a fair coin, rolling a fair die, picking a card randomly from a deck with replacement, picking marbles randomly from a bag with replacement and spinning a fair spinner.

Clarification 3: Repetition of experiments is limited to two times except for tossing a coin.



Related Courses

Course Number1111 Course Title222
1200400: Foundational Skills in Mathematics 9-12 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1205050: M/J Accelerated Mathematics Grade 7 (Specifically in versions: 2014 - 2015, 2015 - 2020, 2020 - 2022, 2022 and beyond (current))
1205070: M/J Grade 8 Pre-Algebra (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1204000: M/J Foundational Skills in Mathematics 6-8 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
7812030: Access M/J Grade 8 Pre-Algebra (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2019, 2019 - 2022, 2022 and beyond (current))


Related Access Points

Access Point Number Access Point Title
MA.8.DP.2.AP.3 Compare actual results of an experiment with its theoretical probability (e.g., make a statement that describes the relationship between the actual results of an experiment with its theoretical probability [e.g., more, less, same, different, equal]).


Related Resources

Formative Assessments

Name Description
Coat Count

Students are asked to design a simulation to generate frequencies for complex events.

Probabilities Cubed

Students are asked to estimate the frequency of an event given its probability and explain why an expected frequency might differ from an observed frequency.

Lesson Plans

Name Description
Independent Compound Probability

During this lesson, students will use Punnett Squares to determine the probability of an offspring's characteristics.

Understanding Probability of Compound Events

This lesson uses guided teaching, small group activities, and student creations all-in-one! Students will be able to solve and create compound event word problems. They will also be able to identify what type of event is being used in a variety of word problems.

Original Student Tutorial

Name Description
Predicting Outcomes at the Carnival

Learn how to use probability to predict expected outcomes at the Carnival in this interactive tutorial.

Perspectives Video: Experts

Name Description
Let's Make a Math Deal

Should I keep my choice or switch?  Learn more about the origins and probability behind the Monty Hall door picking dilemma and how Game Theory and strategy effect the probability.

Download the CPALMS Perspectives video student note taking guide.

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.

Student Resources

Original Student Tutorial

Name Description
Predicting Outcomes at the Carnival:

Learn how to use probability to predict expected outcomes at the Carnival in this interactive tutorial.



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