Practice Basic Probability Review - 5.X.1 | 5. Bayes’ Theorem | Mathematics - iii (Differential Calculus) - Vol 3
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Basic Probability Review

5.X.1 - Basic Probability Review

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define sample space with an example.

💡 Hint: Think about the outcomes in an experiment.

Question 2 Easy

What is an event in probability?

💡 Hint: Consider different outcomes from the sample space.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a sample space?

💡 Hint: Consider different scenarios, like tossing a coin or rolling a die.

Question 2

Conditional Probability measures the likelihood of event A given event B. Is this statement True or False?

True
False

💡 Hint: Reflect on how knowing B affects your calculation for A.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

You're conducting a survey on pet ownership. 60% of people have a dog, and 30% have a cat. If 10% have both, calculate the probability that a randomly selected person has a cat given that they have a dog.

💡 Hint: Use the intersection formula to determine how these events overlap.

Challenge 2 Hard

In a factory, 70% of machines are operational. If a machine is operational, there's a 90% chance it will successfully complete a task. Calculate the overall probability of a successful task completion.

💡 Hint: Think about the complete probability across different conditions.

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Reference links

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