Compound Event Probability - Grade 7 Learning path

Compound Event Probability - Grade 7

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Compound Event Probability - Grade 7

Explore compound event probability through multi-stage scenarios, tree diagrams, and sequential choices. Practice determining probabilities for independent and dependent events, including draws with and without replacement, complementary outcomes, and real-world applications.

Exercises in this learning path

15 exercises
  1. 1

    Tree Diagrams for Coin Flips

    Learn to construct and interpret tree diagrams to find probabilities for sequential coin flips.

    10 minutes

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  2. 2

    Marble Draws with Replacement (Independent Events)

    Practice calculating probabilities for drawing marbles when items are replaced between draws, keeping event outcomes independent.

    10 minutes

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  3. 3

    Marble Draws Without Replacement (Dependent Events)

    Calculate probabilities for drawing marbles sequentially without replacing them, where each outcome affects subsequent probabilities.

    10 minutes

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  4. 4

    Spinners and Dice Compound Probabilities

    Find compound probabilities by combining outcomes from spinning spinners and rolling dice.

    10 minutes

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  5. 5

    Weather and Daily Decision Tree Diagrams

    Use tree diagrams to model outcomes and probabilities for daily decisions based on weather conditions.

    10 minutes

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  6. 6

    Deck of Cards with Replacement

    Determine probabilities of selecting specific cards from a deck when cards are returned after each draw.

    10 minutes

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  7. 7

    Deck of Cards Without Replacement

    Calculate probabilities for drawing consecutive cards from a deck without replacing them between draws.

    10 minutes

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  8. 8

    Meal and Drink Menu Choice Trees

    Construct tree diagrams to visualize combinations and probabilities when making choices from meal and drink menus.

    10 minutes

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  9. 9

    Sports and Multi-Stage Game Trees

    Analyze probabilities in multi-stage sports scenarios and games using tree diagrams.

    10 minutes

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  10. 10

    Selecting Socks Without Replacement

    Compute probabilities for randomly picking pairs of socks from a drawer without replacing the first selection.

    10 minutes

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  11. 11

    Quality Control and Defective Item Inspection

    Apply compound probability concepts to quality control scenarios involving inspections of defective items.

    10 minutes

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  12. 12

    Tree Diagrams with Unequal Branch Probabilities

    Evaluate tree diagrams where different options or branches have non-equal probabilities.

    10 minutes

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  13. 13

    Probability of At Least One Success

    Calculate the probability of achieving at least one successful outcome across multiple compound events.

    10 minutes

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  14. 14

    Complementary Compound Outcomes (Neither / Nor)

    Determine complementary compound probabilities to solve problems involving neither/nor outcomes.

    10 minutes

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  15. 15

    Comparing Independent vs Dependent Events with Tree Diagrams

    Use tree diagrams to compare and contrast how probabilities change between independent and dependent event scenarios.

    10 minutes

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