3.2.1. Overview

Try these first

1. 1.

   What is the Classical Definition of Probability?

   Hint

   Think of the ratio.

2. 2.

   What is a sample space?

   Hint

   Consider all results in an experiment.

3. 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)

   Hint

   Think about how fractions represent parts of a whole.

4. 4.

   True or False: The Axiomatic Definition can only be applied to finite sample spaces.

   • True
   • False

   Hint

   Think about complexity and flexibility.

5. 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.

   Hint

   Think about how often you expect something to happen.

6. 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.

   Hint

   Remember how previous outcomes affect future ones.