OML Search

Two-Way Table and Sample Space


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

Related Topics:
Common Core (Statistics & Probability)

Common Core for Mathematics

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.


Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

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

OML Search

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.

[?] Subscribe To This Site

follow us in feedly
Add to My Yahoo!
Add to My MSN
Subscribe with Bloglines