" From a bin of 20 apples, a sample of 4 is chosen. The number of rotten apples in the sample is counted. What is the sample space ? "
The above question seems very simple but I am confused about finding the actual Experiment and the Sample Space involved in this question.
This is what I know :
Experiment : Any activity that leads to an observable outcome.
Sample Space : The set of all possible outcomes of an experiment.
Event : A subset(desired outcomes) of the sample space.
But, I am not sure if the sample space in the given question consists of just 4 elements( a sample) or it is a set of all possible 4-element samples from the 20 apples.
Also, What exactly is the 'Experiment' in the question ? Is it picking ' a sample of 4 apples ' ?
The only thing I am certain about is the Event. Here, the event is ' Counting the number of rotten apples in a sample '.
Could someone please explain to me about the exact 'Experiment' and 'Sample Space' of the given question ?
You are correct about the “experiment” — it is drawing 4 apples (without replacement I assume).
Given this experiment, the sample space is the set of possible outcomes.
E.g., $GGGG, RGGG, RRGG, ...$