Access Point #: MAFS.912.S-CP.1.AP.2b (Archived Access Point)


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Calculate the probability of events A and B occurring together.

P(A and B) = P(A) × P(B)

Clarifications:

Essential Understandings

Concrete:

  • Use two different manipulatives (e.g., spinner, dice and coins) to demonstrate how events are generated (flipping a coin and rolling a die).
  • Use pictures (e.g., picture of the coin, picture of die) to record two different events (results).
  • Create a chart of all possible event combinations to determine the probability of a specific event.
Representation:
  • List the possible events (results) from two different manipulatives (e.g., die: 1, 2, 3, 4, 5, 6 coin: head, tail).
  • Use the list of possible events to show how one event does not affect the other.
  • Understand the concept of independent as two events that generate results without affecting each other.
  • Represent the probability of each event using numbers. E.g., P(heads) = ½ is the probability of flipping a coin and getting heads; P(2) = 1/6 is the probability of rolling a die and getting a 2.
  • Multiply the probability of two events together. E.g., P(heads) = 1/2, P(2) = 1/6; P(heads and 2) = 1/2 × 1/6 = 1/12 .

Number: MAFS.912.S-CP.1.AP.2b Category: Access Points
Date Adopted or Revised: 06/14 Cluster: Understand independence and conditional probability and use them to interpret data. (Algebra 2 - Additional Cluster)

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Related Standards

Name Description
MAFS.912.S-CP.1.2: Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characterization to determine if they are independent.



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1200330: Algebra 2
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