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Determine the theoretical probability of multistage probability experiments (e.g., draw or select a representation of the theoretical probability for a sample space).
Clarifications:

Essential Understandings

Concrete:

  • Create/recognize combinations of products/pairings.
    • º E.g., Use at least three different colored counting cubes and determine the number of different pairs that can be created.
    º E.g., Use coins to represent the theoretical probability for a sample space – show rows of two coins each, one with heads face up and one with tails up; each row represents another stage of the experiment.
    º E.g., Use the "Rock, Paper, Scissors" game to demonstrate a multi-stage probability experiment (i.e., each round of the game represents a stage [trial] in the experiment).
Representation:
  • Understand the following concepts and vocabulary: probability, sample space, combine, combination, outcome, trial, stage.
  • Understand that sample space is the set of all possible outcomes (combinations) of an experiment.

Access Point #: MAFS.912.S-MD.1.AP.3a (Archived Access Point)
Access Point Standards

Visit the specific benchmark webpage to find related instructional resources.

  • MAFS.912.S-MD.1.3: Develop a probability distribution for a random variable defined for a sample space in which theoretical probabilities can be calculated; find the expected value. For example, find the theoretical probability distribution for the number of correct answers obtained by guessing on all five questions of a multiple-choice test where each question has four choices, and find the expected grade under various grading schemes. ★
Access Point Information
Number:
MAFS.912.S-MD.1.AP.3a
Category:
Access Points
Date Adopted or Revised:
06/14
Cluster:
Calculate expected values and use them to solve problems : 
Access Point Courses
  • Probability and Statistics Honors (#1210300): In Probability and Statistics Honors, instructional time will emphasize four areas: (1) creating and interpreting data displays for univariate and bivariate categorical and numerical data; (2) comparing and making observations about populations using statistical data, including confidence intervals and hypothesis testing; (3) extending understanding of probability and probability distributions and (4) developing an understanding of methods for collecting statistical data, including randomized trials.

    All clarifications stated, whether general or specific to Probability and Statistics Honors, are expectations for instruction of that benchmark.

    Curricular content for all subjects must integrate critical-thinking, problem-solving, and workforce-literacy skills; communication, reading, and writing skills; mathematics skills; collaboration skills; contextual and applied-learning skills; technology-literacy skills; information and media-literacy skills; and civic-engagement skills.

  • Advanced Topics in Mathematics (formerly 129830A) (#1298310):