What's the probability of drawing a blue marble from a bowl containing 4 red marbles, 5 blue marbles, and 5 green marbles?

Answer

To find the probability of drawing a blue marble from a bowl containing 4 red marbles, 5 blue marbles, and 5 green marbles, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Total Number of Marbles:**
- Count the number of each color of marble:
- Red marbles = 4
- Blue marbles = 5
- Green marbles = 5
- Total number of marbles = Red + Blue + Green = 4 + 5 + 5 = 14.

2. **Identify the Number of Favorable Outcomes:**
- The favorable outcomes for drawing a blue marble are the number of blue marbles present in the bowl, which is 5.

3. **Apply the Probability Formula:**
- The probability \( P \) of an event is given by the formula:
\[ P(\text{Event}) = \frac{\text{Number of Favorable Outcomes}}{\text{Total Outcomes}} \]
- Substituting the values we have:
\[ P(\text{Blue Marble}) = \frac{5}{14} \]

4. **Conclusion:**
- Therefore, the probability of drawing a blue marble from the bowl is \( \frac{5}{14} \).