3.1.1. Definition

Try these first

1. 1.

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

   Hint

   Remember, m stands for favorable outcomes.

2. 2.

   List one key assumption of the classical definition of probability.

   Hint

   Consider how outcomes are treated in calculations.

3. 3.

   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.

4. 4.

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

   • True
   • False

   Hint

   Consider the requirements for outcomes in classical definitions.

5. 5.

   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.

6. 6.

   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.