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Multiplication Rule in Probability

Master multiplication rule in probability with interactive lessons and practice problems! Designed for students like you!

Understanding Multiplication Rule in Probability

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Video explanation of this concept

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Beginner

Start here! Easy to understand

Now showing Beginner level explanation.

Beginner Explanation

The multiplication rule for independent events is $P(A \text{ and } B) = P(A) \cdot P(B)$

Practice Problems

Test your understanding with practice problems

1

Quick Quiz

Single Choice Quiz
Beginner

If you have 3 hats and 4 shirts, and you choose one hat and one shirt at random and independently, what's the probability of choosing a specific hat and a specific shirt?

Please select an answer for all 1 questions before checking your answers. 1 question remaining.
2

Real-World Problem

Question Exercise
Intermediate

Card Drawing Scenario

You draw two cards without replacement. What's the probability the first is an Ace of Spades and the second is a heart?
Click to reveal the detailed solution for this question exercise.
3

Thinking Challenge

Thinking Exercise
Intermediate

Think About This

An urn contains 3 red balls and 2 blue balls. You draw one ball without replacement, then draw a second ball. What's the probability both balls are red?

Click to reveal the detailed explanation for this thinking exercise.
4

Challenge Quiz

Single Choice Quiz
Advanced

What's the probability of drawing two spades in a row from a deck, without replacement?

Please select an answer for all 1 questions before checking your answers. 1 question remaining.

Recap

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Review key concepts and takeaways