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Two-Way Table and Sample Space

Related Topics:
Common Core (Statistics & Probability)
Common Core for Mathematics

Examples, solutions, videos, and lessons to help High School students learn how to 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.

  • Model real-life data using two-way frequency tables.
  • Recognize that the conditional probability, p(A|B), represents the joint probability for A and B divided by the marginal probability of B.
  • Use p(A|B) = p(A ∩ B)/p(B) to calculate conditional probabilities from a two-way frequency table.
  • Apply the definition of independence to a variety of chance events as represented by a two-way frequency table.

Common Core: HSS-CP.A.4

Two-way Tables: Probability
Probabilities using two-way tables.
Two way table probability

Two Way Tables and Probability
Find Conditional Probability Using a Table
This video explains two ways to determine conditional probability using a table. Conditional Probability with Tables Conditional Probability Using a Table
This is how to compute conditional probability (the probability of A given B) using information from a table.

Two-way Probability Tables
Two-way tables are a way to organize data in statistics. Two tables display the interaction between two events, The table is general to provide more flexibility into the example. The video discusses the parts of a two-way table, some notation and different probabilistic representation. Find Probability From a Two-Way Table
This video is a tutorial on how to find probabilities from a two-way table. We find the probability of a single event and the union and intersection of two events. Two way tables and probability

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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