4 - Partial Differential Equations
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Practice Questions
Test your understanding with targeted questions
What is Conditional Probability?
💡 Hint: Think about the probability of A in the context of B.
If the probability of event B is 0.4, what does this imply about calculating P(A|B)?
💡 Hint: Focus on the condition here.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the formula for Conditional Probability?
💡 Hint: Remember to consider what the condition is referring to.
True or False: If A and B are independent, then P(A|B) equals P(A).
💡 Hint: Think about what independence means.
1 more question available
Challenge Problems
Push your limits with advanced challenges
In a factory, 70% of the time a machine operates without errors. Consider a scenario where 90% of the errors are due to programming issues (P(E|P) = 0.9) and 10% are mechanical (P(E|M) = 0.1). If a machine fails, what is the probability that it was due to programming issues?
💡 Hint: Break down the error probabilities into parts and apply.
Two fair coins are flipped. What is the condition probability that at least one coin is heads, given that one of them is known to be heads?
💡 Hint: Draw out the sample space considering the conditions.
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