Data gathering in two different samples such that there is matching of the first sample data drawn and a corresponding data value in the second sample.
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In general the mean of a truly random sample is not dependent on the size of a sample. By inference, then, so is the variance and the standard deviation.
Two random samples are dependent if each data value in one sample can be paired with a corresponding data value in the other sample.
What is significant and insignificant of a numerical statistic is dependent on the sample/population ratio.
The first marble is the independent event because its probability is only based on the sample space of the bag. The second marble is the dependent event because its probability is based on the sample space of the bag which has now been changed by the first marble.
Data gathered in two different samples in such a way that there is a matching of the first sample data drawn and a corresponding data value in the second sample data. For example, compare two sample means, one for the first exam of the semester and the second for the second exam of the semester, match via the student taking each test.