# Multiplication & Addition Rule - Probability - Mutually Exclusive & Independent Events | Summary and Q&A

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March 31, 2019
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The Organic Chemistry Tutor
Multiplication & Addition Rule - Probability - Mutually Exclusive & Independent Events

## TL;DR

This content explains the addition and multiplication rules of probability, as well as the concept of independence, with an example involving course enrollment probabilities.

## Key Insights

• 😃 The addition rule allows us to calculate the probability of either event A or event B occurring.
• 🆘 The multiplication rule helps us find the probability of both event A and event B occurring together.
• ✖️ Independent events have probabilities that can be calculated separately using simple multiplication.

## Transcript

now we're going to talk about two basic rules of probability the first one is sometimes refer to as the addition rule the probability of forget an event a or event B can be written as the probability of a and union with B this is equal to the probability of event a no current plus the probability of event B occurring minus the probability of event ... Read More

## Questions & Answers

### Q: What is the addition rule in probability?

The addition rule states that the probability of either event A or event B occurring is equal to the sum of their individual probabilities, minus the probability of both events occurring together.

### Q: How does the multiplication rule work in probability?

The multiplication rule states that the probability of event A and event B occurring together is equal to the product of the probability of event A given event B and the probability of event B.

### Q: What is an independent event in probability?

Independent events are those that do not depend on each other. The probability of event A given event B is equal to the probability of event A, and the probability of event B given event A is equal to the probability of event B.

### Q: Are the events in the provided scenario independent?

No, the events are not independent because the probability of enrolling in an algebra course given enrollment in a biology course is not equal to the probability of enrolling in an algebra course alone.

## Summary & Key Takeaways

• The addition rule states that the probability of either event A or event B occurring is equal to the sum of their individual probabilities, minus the probability of both events occurring together.

• The multiplication rule explains that the probability of event A and event B occurring together is equal to the product of the probability of event A given event B and the probability of event B.

• Independent events are those that do not depend on each other, and their probabilities can be calculated separately using simple multiplication.

• A scenario involving course enrollment probabilities is used to demonstrate the application of these rules.

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