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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the formula for conditional probability?
💡 Hint: Think about how we define one event in relation to another.
Question 2
Easy
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.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the conditional probability of A given B?
- P(A|B) = P(A ∩ B)/P(B)
- P(A|B) = P(B ∩ A)/P(A)
- P(A|B) = P(B)/P(A ∩ B)
💡 Hint: Recall the definition of conditional probability.
Question 2
If two events A and B are independent, P(A|B) can be expressed as?
- True
- False
💡 Hint: Think about the nature of independent events.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
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.
Challenge and get performance evaluation