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Conditional Probability

Video lessons with examples and solutions to help High School students to 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.


Lessons here cover:

  • Understand conditional probability and how it applies to real-life events.
  • Use p(A|B) = p(A ∩ B)/p(B) to calculate conditional probabilities.
  • Understand that events A and B are independent if and only if they satisfy p(A|B) = p(A) or satisfy p(B|A) = p(B).
  • Apply the definition of independence to a variety of chance events.

Common Core: HSS-CP.A.3

Conditional Probability
This video explains how to determine conditional probability.

How to Calculate Conditional Probability
Tutorial on how to calculate conditional probability for two events P(A), P(B), P(B|A) with two examples.

Conditional Probability: Basic Definition
This is a sample video from my tutorial course on the Rules for Reasoning with Probabilities. In this video I introduce the basic definition of conditional probability as it's defined in standard probability theory.

Basic Conditional Probability Example
This video looks at a basic conditional probability example. Conditional probability is simply calculating a probability on the 'condition' that something already happened. In this case, the condition we assume is that John already selected a science card when selecting the next card.

Conditional Probability, Multiplication Rule, and Independence.

Conditional probability and independence---examples.

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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