Practice Overview (3.2.1) - Classical and Axiomatic Definitions of Probability

Practice: Overview

Lesson 3.2.1Classical and Axiomatic Definitions of Probability

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6 sample questions

Question 1.
What is the Classical Definition of Probability?
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Think of the ratio.
Question 2.
What is a sample space?
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Consider all results in an experiment.
3Question 3.
What is the formula for calculating probability in the Classical Definition?
- P(E) = n/m
- P(E) = m/n
- P(E) = 1/(n-m)
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Think about how fractions represent parts of a whole.
4Question 4.
True or False: The Axiomatic Definition can only be applied to finite sample spaces.
- True
- False
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Think about complexity and flexibility.
Question 5.
Suppose you have an infinitely repeating series where the probability of getting heads when tossing a biased coin is 0.6. Calculate the expected number of heads in 10 tosses and discuss the advantage of using Axiomatic Probability here.
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Think about how often you expect something to happen.
Question 6.
Consider a situation of drawing cards from a deck without replacement. Describe the flaws in using the Classical Probability framework and how an Axiomatic approach resolves those issues.
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Remember how previous outcomes affect future ones.

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