Understand independence and conditional probability and use them to interpret data from simulations or experiments.
Statistics and Probability
Conditional Probability and the Rules of Probability
Understand independence and conditional probability and use them to interpret data from simulations or experiments.
Statistics and Probability
Conditional Probability and the Rules of Probability
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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.
Understand that two events π and π are independent if the probability of π and π occurring together is the product of their probabilities, and use this characterization to determine if they are independent.
Understand the conditional probability of π given π as π(π and π)/π(π), and interpret independence of π and π as saying that the conditional probability of π given π is the same as the probability of π, and the conditional probability of π given π is the same as the probability of π.
Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations.
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 (βor,β βand,β βnotβ).
Understand independence and conditional probability and use them to interpret data.
Understand independence and conditional probability and use them to create visual representations of data.
Understand independence and conditional probability and use them to interpret data