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To determine the probability of selecting a blue marble, you use the formula for probability, which is the number of favorable outcomes divided by the total number of possible outcomes. In this case, the favorable outcomes are the number of blue marbles, which is 3. The total number of marbles is 15.

Using the probability formula, the calculation becomes:

Probability of picking a blue marble = Number of blue marbles / Total number of marbles = 3 / 15.

This fraction simplifies to 1 / 5 when you divide both the numerator and the denominator by 3. This corresponds to the choice indicating that the probability of drawing a blue marble is 1/5.

This concept illustrates that when determining probability, you're essentially assessing the ratio of a specific type of outcome relative to the overall outcomes available. Understanding this will help you in problems involving probability and ratios in various contexts.