5.X.1. Basic Probability Review

Try these first

1. 1.

   Define sample space with an example.

   Hint

   Think about the outcomes in an experiment.

2. 2.

   What is an event in probability?

   Hint

   Consider different outcomes from the sample space.

3. 3.

   What is a sample space?

   Hint

   Consider different scenarios, like tossing a coin or rolling a die.

4. 4.

   Conditional Probability measures the likelihood of event A given event B. Is this statement True or False?

   • True
   • False

   Hint

   Reflect on how knowing B affects your calculation for A.

5. 5.

   You're conducting a survey on pet ownership. 60% of people have a dog, and 30% have a cat. If 10% have both, calculate the probability that a randomly selected person has a cat given that they have a dog.

   Hint

   Use the intersection formula to determine how these events overlap.

6. 6.

   In a factory, 70% of machines are operational. If a machine is operational, there's a 90% chance it will successfully complete a task. Calculate the overall probability of a successful task completion.

   Hint

   Think about the complete probability across different conditions.