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Conditional Probability and Independence

Videos, lessons, examples, and solutions to help High School students learn to recognize and explain the concepts of conditional probability and independence.

These lessons cover 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.

  • Interpret conditional probabilities and independence in context.
  • Practice representing conditional probabilities using tree diagrams.

Common Core: HSS-CP.A.5

Conditional Probability (Bayes' Theorem)
Conditional probability (Bayes Theorem) introduced by growing trimmed trees. Understand why evidence alters our confidence of prior events.
Conditional Probability & Tree Diagrams

Conditional Probability with a Tree Diagram
This is an example of a typical tree diagram problem involving conditional probability. It also reviews the idea of a false positive and a false negative.
Tree Diagram and Conditional Probability Example
In this video, we look at how to use tree diagrams to solve conditional probability questions. We use a few examples to solve some worded conditional probability problems that will require us to draw tree diagrams. Combining Conditional Probability and Tree Diagrams

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.

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