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Mathematics > Course Model Mathematics II (Integrated Pathway) > Conditional Probability and the Rules of Probability
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Mathematics | Course : Model Mathematics II (Integrated Pathway)

Domain - Conditional Probability and the Rules of Probability

Cluster - Understand independence and conditional probability and use them to interpret data from simulations or experiments.

[MII.S-CP.A.1] - Describe events as subsets of a sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions, intersections, or complements of other events (“or,” “and,” “not”).*

Resources:


  • Sample space
    In a probability model for a random process, a list of the individual outcomes that are to be considered.

Predecessor Standards:

  • 7.SP.C.8
    Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
  • 7.SP.C.8.a
    Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.
  • 7.SP.C.8.b
    Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language (e.g., “rolling double sixes”), identify the outcomes in the sample space which compose the event.
  • 7.SP.C.8.c
    Design and use a simulation to generate frequencies for compound events. For example, use random digits as a simulation tool to approximate the answer to the question: If 40% of donors have type A blood, what is the probability that it will take at least 4 donors to find one with type A blood.

Successor Standards:

No Successor Standards found.

Same Level Standards:

  • MII.S-CP.A.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.*
  • MII.S-CP.A.3
    Understand the conditional probability of A given B as P(A and B)/P(B), and interpret independence of A and B as saying that the conditional probability of A given B is the same as the probability of A, and the conditional probability of B given A is the same as the probability of B.*
  • MII.S-CP.B.6
    Find the conditional probability of A given B as the fraction of B’s outcomes that also belong to A, and interpret the answer in terms of the model.*
  • MII.S-CP.B.7
    Apply the Addition Rule, P(A or B) = P(A) + P(B) – P(A and B), and interpret the answer in terms of the model.*
  • HS.LS.3.3
    Apply concepts of probability to represent possible genotype and phenotype combinations in offspring caused by different types of Mendelian inheritance patterns. Clarification Statements: Representations can include Punnett squares, diagrams, pedigree charts, and simulations. Inheritance patterns include dominant-recessive, codominance, incomplete dominance, and sex-linked.