Step 1 :The problem is asking for the probability of drawing two white marbles without replacement from a box containing 3 white, 2 green, 2 red, and 1 blue marble.
Step 2 :This is a combination problem, and the probability can be calculated by dividing the number of successful outcomes by the total number of outcomes.
Step 3 :The successful outcomes are the ways to choose 2 white marbles from 3, and the total outcomes are the ways to choose 2 marbles from 8 (3 white, 2 green, 2 red, and 1 blue).
Step 4 :The number of successful outcomes is 3.
Step 5 :The total number of outcomes is 28.
Step 6 :The probability is calculated as \(\frac{3}{28}\).
Step 7 :Final Answer: The probability that both marbles are white is \(\boxed{\frac{3}{28}}\).