Practice Axiomatic Definition of Probability - 3.2 | 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.

๐Ÿ’ก Hint: Think about outcomes of tossing a coin.

Question 2

Easy

What is Normalization in probability?

๐Ÿ’ก Hint: Consider what happens when all possible events are accounted for.

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 probability of an event being negative according to Kolmogorovโ€™s Axiom?

  • True
  • False

๐Ÿ’ก Hint: Think about the definition of probability.

Question 2

If the sample space S consists of four outcomes, what is the assigned probability if the outcomes are equally likely?

  • 0.25
  • 0.5
  • 1

๐Ÿ’ก Hint: Recall how probabilities are assigned in equally likely events.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Consider a biased coin with P(H) = 0.7 and P(T) = 0.3. Using Kolmogorov's axioms, validate the probabilities.

๐Ÿ’ก Hint: Analyze the logic of probability assignments.

Question 2

Create a probability space for rolling two dice and determine probabilities for their sum resulting in 7.

๐Ÿ’ก Hint: Break down the sums for two dice to find the total possible outcomes.

Challenge and get performance evaluation