Select a person at random. Draw a card from a deck. The idea of independence can be extended to 3 or more events. A system has 4 identical parts connected in parallel connection. Parts operate independently.
Relays operate independently.
Let A be an event. The product is defective. A medical test detects a disease if the patient has it with probability 0.95. It detects the disease if the patient is healthy with probability 0.10. Apply the test on a randomly selected person.