Practice Axiomatic Definition of Probability - 3.2 | 3. Classical and Axiomatic Definitions of Probability | Mathematics - iii (Differential Calculus) - Vol 3
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Axiomatic Definition of Probability

3.2 - Axiomatic Definition of Probability

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define Sample Space.

💡 Hint: Think about outcomes of tossing a coin.

Question 2 Easy

What is Normalization in probability?

💡 Hint: Consider what happens when all possible events are accounted for.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the probability of an event being negative according to Kolmogorov’s Axiom?

True
False

💡 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

💡 Hint: Recall how probabilities are assigned in equally likely events.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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

💡 Hint: Analyze the logic of probability assignments.

Challenge 2 Hard

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

💡 Hint: Break down the sums for two dice to find the total possible outcomes.

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