Home › AP Statistics › Statistics › Probability Topics › Sampling without replacement makes successive pi…
Sampling without replacement makes successive picks dependent because:
AThe population grows each time
BThe sample space stays fixed
CEvery outcome becomes equally likely
DEarlier picks change later probabilities
Answer & Solution
Correct answer: D. Earlier picks change later probabilities
1. Removing a member changes what remains available to be drawn.
2. In sampling without replacement, the probabilities for the second pick are affected by the result of the first pick.
3. That dependence is exactly what independence rules out.
4. Sampling with replacement leaves the pool unchanged between picks, so the draws stay independent.
5. The population shrinks rather than grows, which rules out the second option.
_Source: OpenStax Introductory Statistics 2e (CC BY 4.0), Ch 3 'Probability Topics', sections 3.1-3.5_
Related questions
An experiment whose result is not predetermined is called a:A conditional probability differs from an ordinary one because the count is divided by:On a fair six-sided die, the outcome of any one face is:A sample space can be represented by listing outcomes, by a Venn diagram, or by a:Sampling with replacement means each member picked:Two events are independent when the outcome of the first:Independent and mutually exclusive are terms that:Two events that share no outcomes at all are described as: