Practice Definition - 3.1.1 | 3. Classical and Axiomatic Definitions of Probability | Mathematics - iii (Differential Calculus) - Vol 3
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Definition

3.1.1 - Definition

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Practice Questions

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Question 1 Easy

What is the formula for calculating probability using the classical definition?

💡 Hint: Remember, m stands for favorable outcomes.

Question 2 Easy

List one key assumption of the classical definition of probability.

💡 Hint: Consider how outcomes are treated in calculations.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does P(E) represent in the classical definition?

Probability of event E
Expected value of E
Number of total outcomes

💡 Hint: Think about what we're calculating the likelihood of.

Question 2

True or False: The classical definition can handle infinite sample spaces.

True
False

💡 Hint: Consider the requirements for outcomes in classical definitions.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Assume a box contains 100 balls: 70 red, 20 blue, and 10 green. If you randomly select one ball, calculate the probability of not picking a red one using the classical definition.

💡 Hint: Count how many outcomes lead to the ball being not red.

Challenge 2 Hard

In a complex engineering scenario with three machine parts, each having probabilities of functioning: Part A (0.8), Part B (0.6), Part C (0.9). Calculate the probability that at least one part functions.

💡 Hint: Think about the complement to find the required probability.

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