4.1.5 - Applications of Conditional Probability
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Practice Questions
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What is the definition of conditional probability?
💡 Hint: Think about how one event's occurrence affects another.
Write down the formula for conditional probability.
💡 Hint: Recall the relationship between the intersection of A and B.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does P(A|B) signify?
💡 Hint: Think about what condition is applied here.
True or False: If P(A ∩ B) = 0, A and B are independent events.
💡 Hint: Define mutual exclusivity.
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Challenge Problems
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In a quality control scenario, suppose 3% of products are defective. If a specific test indicates a product is defective 95% of the time when it is defective and 10% of the time when it is not defective, what is the probability a product is actually defective given a test reading of defective?
💡 Hint: Establish what proportions become pivotal in the context.
A poll shows that 60% of voters favor candidate A. If it rains, the chance of voting increases to 80%. Calculate the conditional probability that a voter favors A given that it rains.
💡 Hint: Apply the formula accordingly with conditional inputs.
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