Standards Map

Mathematics > Course Model Geometry (Traditional Pathway) > Conditional Probability and the Rules of Probability
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Mathematics | Course : Model Geometry (Traditional Pathway)

Domain - Conditional Probability and the Rules of Probability

Cluster - Use the rules of probability to compute probabilities of compound events in a uniform probability model.

[GEO.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.*

Resources:


  • 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).
  • Probability model
    A probability model is used to assign probabilities to outcomes of a chance process by examining the nature of the process. The set of all outcomes is called the sample space, and their probabilities sum to 1.

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:

  • GEO.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”).*
  • GEO.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.*
  • GEO.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.*
  • GEO.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.
  • GEO.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.
  • AQR.S-CP.B.9
    (+) Use permutations and combinations to compute probabilities of compound events and solve problems.*