Dependent
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If you draw one out, replace it, and draw another out, it's independent. If you draw one out, DON'T replace it, and draw another out, it's dependent. (Similarly if you draw them both out at the same time.)
The second and third marbles depend upon the first, so they are dependent. Even if they are all being drawn together, because there is no replacement, each removal affects the original group of marbles.
7/15 for blue marbles and 8/14 for the purple marbles this is dependent probability
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.
Probability of drawing a blue marble first is 4 in 8 (or 50%) Probability of drawing a blue marble second is 3 in 7 (or 42.85714%) Probablility of drawing blue then blue is the two above multiplied 0.5 * 0.4285714 Which is 0.212142407 or 21% or One in Five.