The probability depends on the availability of marbles of those colours to the person making up the bag.
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0No blue marbles in the bag.
It is 0.2
3/10 or 0.3 is the probability of picking a purple marble.
1 in 15 chances that the marble will be blue, because there are 15 marbles all together in a bag, and you are only picking one out of it.
The theoretical probability of randomly picking each color marble is the number of color marbles you have for each color, divided by the total number of marbles. For example, the probability of selecting a red marble is 3/20.