Practice Kolmogorov’s Axioms - 3.2.3 | 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

What does the term 'sample space' refer to?

💡 Hint: Think about an experiment and its potential results.

Question 2

Easy

State Kolmogorov's first axiom of probability.

💡 Hint: Consider what probabilities can be in terms of value.

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 is the first axiom of Kolmogorov's theory?

  • Additivity
  • Normalization
  • Non-negativity

💡 Hint: Think about what all probabilities must be!

Question 2

True or False: The normalization axiom states that P(S) = 1.

  • True
  • False

💡 Hint: What does this mean for total probabilities?

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A bag contains 3 red, 2 blue, and 5 green marbles. What is the probability of drawing a red marble?

💡 Hint: Determine the total outcomes first.

Question 2

A coin is tossed three times. What is the probability of getting exactly two heads?

💡 Hint: Think about combinations of the outcomes!

Challenge and get performance evaluation