Complete each statement: An event with a probability of $0$ is ____, and an event with a probability of $1$ is ____.

• A. certain; impossible
• B. random; deterministic
• C. unlikely; likely
• D. impossible; certain

Answer: (D)

Verified step by step guidance

1. Understand the definition of probability: Probability measures how likely an event is to occur, ranging from 0 to 1.
2. Recall that an event with probability 0 means it cannot happen under any circumstance; such an event is called 'impossible'.
3. Recall that an event with probability 1 means it will happen for sure; such an event is called 'certain'.
4. Match these definitions to the given options: 'impossible' corresponds to probability 0, and 'certain' corresponds to probability 1.
5. Therefore, the correct completion is: An event with a probability of 0 is 'impossible', and an event with a probability of 1 is 'certain'.