We are asked to describe a real-life event that has a probability of 0 and another real-life event that has a probability of 1. Let's consider these possible events one at a time.
Probability of 0
A probability of 0 means that the event is impossible. An event is impossible if the desired outcome is an impossible outcome. Consider that we roll a six-sided die and want to know the probability that it lands on any number greater than 6.
Since the die has no side with that number, this is an impossible outcome. Therefore, the probability is 0.
Probability of 1
An event with a probability of 1 is a certain event — it will definitely happen. An event is only certain if we consider every possible outcome as a desired outcome. Once again, let's consider rolling the die and, this time, we want to know the probability that it lands on a number between 1 and 6, inclusive.
{1,2,3,4,5,6}
Since this event considers every side of the die, this is a certain event. Therefore, the probability is 1.
