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Compound events & combinations

Grade 8 · Math · Free lesson

Hey there! Ready to explore how we can combine choices to make cool new outcomes? Let's dive in together!

A compound event is when we combine two or more simple events. For example, choosing a shirt color and then choosing a pants color creates a compound event.

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We can find the total number of combinations by multiplying the options for each choice. If you have 2 shirts and 3 pants, you get 6 total outfits.

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Let's reflect on how we analyze these connections. When you read a story about making choices, you might connect it to your own life decisions. We can compare how different choices lead to different paths.

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✏️ Worked example

You want to build a custom skateboard. You can choose from 2 types of decks (wood or plastic) and 3 colors of wheels (red, blue, or green). How many unique skateboards can you design?

  1. Identify your first category of choice, which is the deck type. You have 2 choices (wood or plastic).
  2. Identify your second category of choice, which is the wheel color. You have 3 choices (red, blue, or green).
  3. Multiply the number of options in the first category by the number of options in the second category: 2 times 3.
  4. Calculate the final answer: 2 multiplied by 3 equals 6 unique skateboard combinations.
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