Compound Probability 🎲

Interactive Tutorial • Practice Problems • Speed Quiz

What is Compound Probability? 🎯

  **Compound probability** is the likelihood of two or more independent events happening. Two events are **independent** if the outcome of one event does not affect the outcome of the other.

  To find the compound probability of two independent events A and B, you multiply the probability of event A by the probability of event B.

  $$P(A \text{ and } B) = P(A) \times P(B)$$

  For example, the probability of flipping heads on a coin AND rolling a 3 on a six-sided die would be the probability of heads ($$\frac{1}{2}$$) multiplied by the probability of rolling a 3 ($$\frac{1}{6}$$), which is $$\frac{1}{12}$$.

 
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Video: Compound Probability Example 🎬

This video will walk you through calculating the probability of two independent events.

 
 
 

Practice Problems

Calculate the probability of each compound event as a fraction in simplest form (e.g., 1/2).

 
   
1) Rolling a 2 on a die and then flipping heads on a coin.
   

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2) Drawing a red card from a deck, replacing it, then drawing a heart.
   

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3) Rolling a 4 on a die and then another 4 on a second die.
   

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4) Flipping heads on 3 separate coins.
   

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⚡ Compound Probability Speed Quiz

       
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