5.X.4 - Interpretation of Terms
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Practice Questions
Test your understanding with targeted questions
What does prior probability refer to in Bayes' Theorem?
💡 Hint: Think about what you know before an event occurs.
Define likelihood in the context of Bayes' Theorem.
💡 Hint: It's about determining evidence related to a belief.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does prior probability represent in Bayes’ Theorem?
💡 Hint: Remember, it’s about what we know before seeing new evidence.
True or False: Posterior probability is the same as prior probability.
💡 Hint: Think about what happens after you see new evidence.
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Challenge Problems
Push your limits with advanced challenges
A disease is known to affect 3% of the population. A new test has a 97% sensitivity (true positive) and a 4% false positive rate. Calculate the posterior probability of having the disease given a positive test result.
💡 Hint: Remember to consider both true positives and false positives in your calculations.
In a game show, a contestant initially selects one door out of three, then the host opens another door, revealing no prize behind it. If the contestant switches doors after the host reveals a door, what's the likelihood of winning the prize compared to sticking with the first choice?
💡 Hint: Think about how the prior and posterior probabilities change with available evidence.
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