Which statement best describes why discrete uniform sampling might be used in a simulation?

• A. To model continuous probability
• B. To model equally likely outcomes within a finite set.
• C. To enforce a deterministic outcome
• D. To approximate a normal distribution

Answer: (B)

Discrete uniform sampling is used when every outcome in a finite set has the same chance of occurring. In simulations, this captures situations with a fixed number of equally likely states—for example, drawing a random card from a small deck or rolling a fair die. That equal-probability, finite-set property is exactly what discrete uniform sampling represents, so it’s the best description. It wouldn’t model continuous probability since there isn’t a continuum of outcomes, and it isn’t meant to enforce a deterministic outcome because randomness remains. It also isn’t about approximating a normal distribution, which requires a bell-shaped, continuous distribution rather than equal likelihood across a finite set.