Standards Map

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.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.*

Resources:


  • Independently combined probability models
    Two probability models are said to be combined independently if the probability of each ordered pair in the combined model equals the product of the original probabilities of the two individual outcomes in the ordered pair.
  • Probability
    A number between 0 and 1 used to quantify likelihood for processes that have uncertain outcomes (such as tossing a coin, selecting a person at random from a group of people, tossing a ball at a target, testing for a medical condition).

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.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”).*
  • MII.S-CP.A.4
    Construct and interpret two-way frequency tables of data when two categories are associated with each object being classified. Use the two-way table as a sample space to decide if events are independent and to approximate conditional probabilities.* For example, collect data from a random sample of students in your school on their favorite subject among math, science, and English. Estimate the probability that a randomly selected student from your school will favor science given that the student is in tenth grade. Do the same for other subjects and compare the results.
  • MII.S-CP.A.5
    Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations.* For example, compare the chance of having lung cancer if you are a smoker with the chance of being a smoker if you have lung cancer.
  • 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.*
  • 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.