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Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
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Knowledge
Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define sample space.
💡 Hint: Think of what you would observe.
Question 2
Easy
What does conditional probability measure?
💡 Hint: It involves two events.
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 Bayes' Theorem used for?
- To derive frequency distributions
- To update probabilities based on new data
- To calculate means and variances
💡 Hint: Think about updating beliefs.
Question 2
True or False: The prior probability changes when new evidence is introduced.
- True
- False
💡 Hint: What does 'prior' mean?
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A factory produces 5% defective items. An inspection process has an 80% success rate in detecting defects. If an item is inspected and found defective, what is the probability that it is actually defective?
💡 Hint: Work through joint probabilities and apply Bayes' Theorem carefully.
Question 2
In clinical trials, a new drug shows efficacy in 70% of patients. There is a 10% chance of side effects. If side effects occur, what's the updated probability that the patient benefited from the drug?
💡 Hint: Set up your known probabilities and use Bayes' formula.
Challenge and get performance evaluation