A bag contains 25 marbles, of which 3 are blue and the rest are non-blue. If one marble is selected at random, what is the probability of picking a blue marble?

• A. $\frac{3}{22}$
• B. $\frac{22}{25}$
• C. $\frac{25}{3}$
• D. $\frac{3}{25}$

Answer: (D)

Verified step by step guidance

1. Identify the total number of marbles in the bag, which is given as 25.
2. Determine the number of blue marbles, which is given as 3.
3. Recall that the probability of an event is calculated as the ratio of the number of favorable outcomes to the total number of possible outcomes.
4. Set up the probability formula for picking a blue marble as \(\frac{\text{Number of blue marbles}}{\text{Total number of marbles}}\).
5. Substitute the values into the formula to get \(\frac{3}{25}\), which represents the probability of selecting a blue marble.