2.1.7. Practical Applications

Try these first

1. 1.

   What is a sample space?

   Hint

   Think about what can happen in a random experiment.

2. 2.

   Define an event in the context of probability.

   Hint

   Consider a specific outcome or group of outcomes.

3. 3.

   What does a sample space represent?

   • A single outcome
   • All possible outcomes
   • Only favorable outcomes

   Hint

   Consider what outcomes can happen.

4. 4.

   True or False: Events can only be simple in nature.

   • True
   • False

   Hint

   Think about the different types of events we discussed.

5. 5.

   In a factory with a 3% defect rate, if 100 items are produced, how many defective items do you expect?

   Hint

   Calculate the number of items using percentages.

6. 6.

   A network has a probability of packet loss of 0.1. Calculate the probability that out of 5 packets sent, at least one arrives successfully.

   Hint

   Think about the likelihood of failure for all packets.