Which term describes sampling where selection probabilities stay constant across draws?

Which term describes sampling where selection probabilities stay constant across draws?

• A. Independent Random Sampling
• B. Random Sample
• C. Central Limit Theorem
• D. Standardized Distribution

Answer: (A)

This is about how likely it is to pick any given item on each draw. If the chance of selecting each item remains the same from one draw to the next, every draw is essentially independent and uses an identical probability for every element. That setup is best described by independent random sampling, which usually corresponds to sampling with replacement so the pool and the probabilities don’t change as you go. A random sample is a broader term for selecting items by chance, but it doesn’t by itself guarantee that draws are independent or that the selection probabilities stay constant across draws. The other terms—Central Limit Theorem and standardized distribution—concern properties of distributions (the CLT describes how sample means behave for large samples; standardized distribution refers to scaling data) rather than how the sampling probabilities behave across draws. So, the term that matches selection probabilities staying constant across draws is independent random sampling.

This is about how likely it is to pick any given item on each draw. If the chance of selecting each item remains the same from one draw to the next, every draw is essentially independent and uses an identical probability for every element. That setup is best described by independent random sampling, which usually corresponds to sampling with replacement so the pool and the probabilities don’t change as you go.

A random sample is a broader term for selecting items by chance, but it doesn’t by itself guarantee that draws are independent or that the selection probabilities stay constant across draws. The other terms—Central Limit Theorem and standardized distribution—concern properties of distributions (the CLT describes how sample means behave for large samples; standardized distribution refers to scaling data) rather than how the sampling probabilities behave across draws.

So, the term that matches selection probabilities staying constant across draws is independent random sampling.