4.1.4 - Solved Examples
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Practice Questions
Test your understanding with targeted questions
What is the formula for conditional probability?
💡 Hint: Think about how we define one event in relation to another.
If P(A) = 0.2 and P(B) = 0.5 with P(A ∩ B) = 0.1, what is P(A|B)?
💡 Hint: Use the conditional probability formula.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the conditional probability of A given B?
💡 Hint: Recall the definition of conditional probability.
If two events A and B are independent, P(A|B) can be expressed as?
💡 Hint: Think about the nature of independent events.
1 more question available
Challenge Problems
Push your limits with advanced challenges
A factory produces defective items at 5%. If an inspector checks 10 items, what is the probability that at least one item is defective?
💡 Hint: Use the complement rule effectively.
In a study, 30% of individuals smoke. If 40% of smokers and 10% of non-smokers develop lung cancer, find the probability an individual has lung cancer.
💡 Hint: Ensure clear distinctions in smoker and non-smoker probabilities.
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