Determining Independence of Events: Comparing Conditional and Simple Probabilities

This lesson teaches how to determine if two events, A and B, are independent by comparing the conditional probability of A given B to the simple probability of A. It explains the concept of conditional probability and independence, highlights common misunderstandings, and uses a two-way table example to demonstrate the process. The lesson concludes by confirming that if the probabilities are equal, the events are independent.

What is the conditional probability of A given B?

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Explain the difference between the probability of A given B and the probability of B given A.

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How can you determine if two events are independent?

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What were the simple and conditional probabilities of playing an instrument in Jen's class?

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What conclusion can be drawn about playing an instrument and playing a sport in Jen's class?

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