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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 the relationship between A and B.
Question 2
Easy
Give an example of mutually exclusive events.
💡 Hint: Think about outcomes that cannot co-occur.
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?
- Probability of A given B
- Probability of B given A
- Joint probability of A and B
💡 Hint: Think about how we define conditional probabilities.
Question 2
If P(A) = 0.2 and P(B) = 0.3 are independent, what is P(A ∩ B)?
- 0.05
- 0.06
- 0.08
💡 Hint: Remember the product rule for independent events.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
In a factory, 80% of machinery is working. If a machine is selected and found to be faulty (20% failure rate), what is the conditional probability that another machine from the same batch is also faulty?
💡 Hint: Analyze the relationship and use previous probabilities.
Question 2
If a test for a rare disease is 92% accurate and the prevalence in the population is 0.5%, what is the probability someone who tests positive actually has the disease?
💡 Hint: Set up the prior probabilities accurately to derive the final conditional probability.
Challenge and get performance evaluation