In basic probability, what is the probability of an event that is certain to occur?

• A. $0$
• B. It cannot be determined without more information.
• C. $1$
• D. $\frac{1}{2}$

Answer: (C)

Verified step by step guidance

1. Understand the concept of probability: Probability measures how likely an event is to occur, and it ranges from 0 to 1, where 0 means the event cannot happen and 1 means the event is certain to happen.
2. Identify the event described: The problem asks for the probability of an event that is certain to occur, meaning it will happen every time without fail.
3. Recall the probability rule for a certain event: By definition, the probability of a certain event is always 1, because it is guaranteed to happen.
4. Express this mathematically: The probability of a certain event E is given by \(P(E) = 1\).
5. Conclude that no additional information is needed to determine this probability since certainty directly implies a probability of 1.