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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
If P(B) = 0.4 and P(A∩B) = 0.2, what is P(A|B)?
💡 Hint: Use the formula for conditional probability.
Question 2
Easy
If P(A) = 0.5 and P(B) = 0.3, and they are independent, what is P(A|B)?
💡 Hint: If A and B are independent events, P(A|B) = P(A).
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 does P(A|B) represent in probability?
- The probability of A occurring
- The probability of A given B
- The joint probability of A and B
💡 Hint: Think about how one event influences another.
Question 2
If P(A) = 0.6, P(B) = 0.4, and they are independent, what is P(A|B)?
💡 Hint: Review the definitions of independent events.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
In a country, 40% of adults smoke. Amongst smokers, 1 in 4 develop chronic diseases. What is the conditional probability that a randomly selected adult has a chronic disease given they are a smoker?
💡 Hint: Use joint probability alongside the percentage of smokers.
Question 2
In a deck of 52 cards, if you draw a heart and do not replace it, what is the probability that the next card drawn is face card given the first was a heart?
💡 Hint: Calculate using conditional probabilities and consider the reduced deck.
Challenge and get performance evaluation