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


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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.

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

Related Standards

Name Description
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.



Related Courses

Name Description
1210300: Probability and Statistics Honors
1298310: Advanced Topics in Mathematics (formerly 129830A)