To determine the probability of the two events, we need to understand the basic concepts of probability.
Event A is certain to occur, which means it will happen without a doubt. In probability terms, the likelihood of event A occurring is represented as:
- P(A) = 1
This is because a probability of 1 means that the event is certain.
On the other hand, event B is described as impossible. This means there is no chance that this event will occur. The probability of event B is represented as:
- P(B) = 0
A probability of 0 indicates that the event cannot happen under any circumstances.
In summary:
- The probability of event A (certain to occur) is 1.
- The probability of event B (impossible) is 0.
This illustrates the foundational principles of probability, where certain events have a probability of 1 and impossible events have a probability of 0.