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MA.7.P.7.2Archived Standard

Determine, compare, and make predictions based on experimental or theoretical probability of independent or dependent events,
Subject Area: X-Mathematics (former standards - 2008)
Grade: 7
Body of Knowledge: Probability
Idea: Level 3: Strategic Thinking & Complex Reasoning
Supporting Idea: Probability - Probability
Date Adopted or Revised: 09/07
Date of Last Rating: 06/07
Status: State Board Approved - Archived
Assessed: Yes

Remarks/Examples

Experiments could involve or not involve "replacement" of an event.

 

Students must be able to distinguish between independent and dependent events.

 

Example: Find the probability of choosing a red marble from a bag of 9 white marbles and 1 red marble, with or without replacement of each drawn marble.

 

Students use manipulatives to obtain experimental results, compare results to mathematical expectations, and discuss the validity of the experiment.

 

TEST ITEM SPECIFICATIONS

  • Item Type(s): This benchmark may be assessed using: MC item(s)
  • At Grade 7, this benchmark will be assessed using MC items.
  • Clarification :
    Students will determine the likelihood or probability of a simple event occurring. 

    Students will compare probabilities of events. 

    Students will make predictions based on experimental or theoretical probability of independent or dependent events.

  • Content Limits :
    Items may include determining the probability of a compound event both with and without replacement. 

    Items may include distinguishing between independent and dependent events. 

    Probabilities should be expressed as whole numbers, fractions, or decimals. 

    Items assessing compound events should not exceed sixteen outcomes in a sample space.

  • Stimulus Attributes :
    Items should be set in real-world context.

    Graphics should be used in some of these items, as appropriate.

SAMPLE TEST ITEMS (1)

  • Test Item #: Sample Item 1
  • Question: Joaquin has the set of cards shown below.

    Numbers

    Joaquin will shuffle the cards, select one without looking, record the number of the card, and return the card to the set. He will repeat this process 50 times. Which is closest to the number of times he should expect to select a card with a number greater than 5?
  • Difficulty: N/A
  • Type: MC: Multiple Choice