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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the conditional probability of rolling a 6 on a die if you know it's an even number?
💡 Hint: Think about the possible outcomes of the die.
Question 2
Easy
If two cards are drawn from a deck without replacement, what is the probability that both are hearts?
💡 Hint: Use combinations to find the total favorable outcomes.
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 conditional probability?
💡 Hint: Remember the formula P(A | B).
Question 2
If two events A and B are independent, then P(A ∩ B) equals what?
- P(A) + P(B)
- P(A) × P(B)
- P(A | B)
💡 Hint: Think about non-affecting events.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A medical test has a false positive rate of 5% and a false negative rate of 10%. Given that a patient is healthy, what is the probability that they test positive for the disease?
💡 Hint: You will need to define the cases clearly.
Question 2
Consider a polluted water source. If 30% are hazardous and 60% of hazardous sources show contamination, find the chance a contaminated source is hazardous.
💡 Hint: Assess each part of the scenario carefully.
Challenge and get performance evaluation