Which of the following is a probabilistic system?

• A. Rolling a fair six-sided die
• B. The boiling point of pure water at standard pressure
• C. The time shown on a stopped clock
• D. The number of days in a week

Answer: (A)

Verified step by step guidance

1. Understand the definition of a probabilistic system: it is a system or process where the outcome is uncertain and can be described by probabilities.
2. Analyze each option to determine if the outcome is uncertain and can be modeled probabilistically.
3. For 'Rolling a fair six-sided die', recognize that each face (1 through 6) has an equal probability of occurring, making it a classic example of a probabilistic system.
4. For 'The boiling point of pure water at standard pressure', note that this is a fixed physical constant (100°C) and does not vary randomly, so it is not probabilistic.
5. For 'The time shown on a stopped clock' and 'The number of days in a week', observe that these are fixed values or states without randomness, so they are not probabilistic systems.