Flipping a fair coin where “heads” is considered a success () and “tails” a failure ().

Rolling a die and checking if the outcome is a 6 (success) or not (failure). If the die is fair, the probability of success is and the probability of failure is .

Checking whether a shipment arrives on time (success) or is delayed (failure). If historical data shows that a shipment has a 90% chance of arriving on time, the probability of success () is 0.9, and the probability of failure () is 0.1.