3.2.3. Kolmogorov’s Axioms

Try these first

1. 1.

   What does the term 'sample space' refer to?

   Hint

   Think about an experiment and its potential results.

2. 2.

   State Kolmogorov's first axiom of probability.

   Hint

   Consider what probabilities can be in terms of value.

3. 3.

   What is the first axiom of Kolmogorov's theory?

   • Additivity
   • Normalization
   • Non-negativity

   Hint

   Think about what all probabilities must be!

4. 4.

   True or False: The normalization axiom states that P(S) = 1.

   • True
   • False

   Hint

   What does this mean for total probabilities?

5. 5.

   A bag contains 3 red, 2 blue, and 5 green marbles. What is the probability of drawing a red marble?

   Hint

   Determine the total outcomes first.

6. 6.

   A coin is tossed three times. What is the probability of getting exactly two heads?

   Hint

   Think about combinations of the outcomes!