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
Tree Diagrams for Coin Flips
Learn to construct and interpret tree diagrams to find probabilities for sequential coin flips.
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2
Marble Draws with Replacement (Independent Events)
Practice calculating probabilities for drawing marbles when items are replaced between draws, keeping event outcomes independent.
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3
Marble Draws Without Replacement (Dependent Events)
Calculate probabilities for drawing marbles sequentially without replacing them, where each outcome affects subsequent probabilities.
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4
Spinners and Dice Compound Probabilities
Find compound probabilities by combining outcomes from spinning spinners and rolling dice.
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5
Weather and Daily Decision Tree Diagrams
Use tree diagrams to model outcomes and probabilities for daily decisions based on weather conditions.
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6
Deck of Cards with Replacement
Determine probabilities of selecting specific cards from a deck when cards are returned after each draw.
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7
Deck of Cards Without Replacement
Calculate probabilities for drawing consecutive cards from a deck without replacing them between draws.
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8
Meal and Drink Menu Choice Trees
Construct tree diagrams to visualize combinations and probabilities when making choices from meal and drink menus.
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9
Sports and Multi-Stage Game Trees
Analyze probabilities in multi-stage sports scenarios and games using tree diagrams.
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10
Selecting Socks Without Replacement
Compute probabilities for randomly picking pairs of socks from a drawer without replacing the first selection.
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11
Quality Control and Defective Item Inspection
Apply compound probability concepts to quality control scenarios involving inspections of defective items.
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12
Tree Diagrams with Unequal Branch Probabilities
Evaluate tree diagrams where different options or branches have non-equal probabilities.
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13
Probability of At Least One Success
Calculate the probability of achieving at least one successful outcome across multiple compound events.
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14
Complementary Compound Outcomes (Neither / Nor)
Determine complementary compound probabilities to solve problems involving neither/nor outcomes.
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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.
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