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

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define 'sample space'. Give an example.

πŸ’‘ Hint: Think of what all possible results could be.

Question 2

Easy

What is an event in probability?

πŸ’‘ Hint: Remember, events can be one outcome or multiple outcomes.

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 component makes up a probability space?

  • Sample Space
  • Function
  • Events
  • Sample Space
  • Events
  • Probability Function
  • Only Events

πŸ’‘ 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

πŸ’‘ Hint: Think about normalization.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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

πŸ’‘ Hint: Consider the total combinations and how many yield a sum of 7.

Question 2

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

πŸ’‘ Hint: How do you check if probabilities total 1?

Challenge and get performance evaluation