Question

If a probability event is done without replacement, how does the sample space change between the first and second experiments?


There is new data in the second experiment.


There is one more item the second time.


There are the same amount in each experiment.


There is one fewer in the second experiment.

Answer 1

When a probability event is done without replacement, the sample space changes between the first and second experiments in that there is one fewer item in the sample space for the second experiment.

This is because when an item is drawn in the first experiment, it is not returned to the sample space for the second experiment. As a result, the total number of items available for selection decreases by one, leading to a smaller sample space in the second experiment.

Therefore, the correct answer is: **There is one fewer in the second experiment.**