Practice Probability Space - 3.2.2 | 3. Classical and Axiomatic Definitions of Probability | Mathematics - iii (Differential Calculus) - Vol 3
Students

Academic Programs

AI-powered learning for grades 8-12, aligned with major curricula

Professional

Professional Courses

Industry-relevant training in Business, Technology, and Design

Games

Interactive Games

Fun games to boost memory, math, typing, and English skills

Probability Space

3.2.2 - Probability Space

Enroll to start learning

You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define 'sample space'. Give an example.

💡 Hint: Think of what all possible results could be.

Question 2 Easy

What is an event in probability?

💡 Hint: Remember, events can be one outcome or multiple outcomes.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What component makes up a probability space?

Sample Space
Function
Events
Sample Space
Events
Probability Function
Only Events

💡 Hint: Recall the definitions we've discussed.

Question 2

True or False: The total probability assigned to a sample space must be equal to 0.

True
False

💡 Hint: Think about normalization.

Get performance evaluation

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

You roll two dice. Define the sample space and calculate the probability of rolling a sum of 7.

💡 Hint: Consider the total combinations and how many yield a sum of 7.

Challenge 2 Hard

If a probability function assigns P({A}) = 0.25 and P({B}) = 0.75, what are the implications on normalization?

💡 Hint: How do you check if probabilities total 1?

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.