Professional Courses
Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.
Categories
Interactive Games
Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
Typing
Memory
Math
English Adventures
Knowledge
Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the sample space?
💡 Hint: Think about all the outcomes of a dice roll.
Question 2
Easy
What does P(A | B) represent?
💡 Hint: It's the probability of an event under certain conditions.
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 the prior probability represent in Bayes' Theorem?
- Updated belief
- Initial belief
- Evidence
💡 Hint: Consider the beliefs you have before receiving new information.
Question 2
True or False: In Bayes' Theorem, the posterior probability is always greater than the prior probability.
- True
- False
💡 Hint: Reflect on the effect of evidence on beliefs.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A rare condition affects 0.5% of the population. A screening test identifies the condition with 98% sensitivity and 90% specificity. Calculate the probability of having the condition given that a person tests positive.
💡 Hint: Remember to first derive P(T) using total probability.
Question 2
A bag contains 10 blue and 20 red balls. You draw a ball at random and it’s red. What is the probability that the next drawn ball is red if you replace it?
💡 Hint: Think about the events being independent due to replacement.
Challenge and get performance evaluation