A bag contains 2 white marbles , 4 blue marbels , and 6 red marbles . A marble is drawn at random from the bag . What is the probability that
it is not blue ?

Answer

To solve the problem of finding the probability that a marble drawn from the bag is not blue, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the number of each color of marbles in the bag:**
- White marbles: 2
- Blue marbles: 4
- Red marbles: 6

2. **Calculate the total number of marbles in the bag:**
\[ \text{Total number of marbles} = \text{Number of white marbles} + \text{Number of blue marbles} + \text{Number of red marbles} \]
\[ \text{Total number of marbles} = 2 + 4 + 6 = 12 \]

3. **Determine the number of marbles that are not blue:**
- Marbles that are not blue = White marbles + Red marbles
\[ \text{Number of marbles that are not blue} = 2 + 6 = 8 \]

4. **Calculate the probability that the marble drawn is not blue:**
\[ \text{Probability (not blue)} = \frac{\text{Number of marbles that are not blue}}{\text{Total number of marbles}} \]
\[ \text{Probability (not blue)} = \frac{8}{12} \]

5. **Simplify the fraction:**
\[ \frac{8}{12} = \frac{2}{3} \]

### Final Answer:
The probability that the marble drawn is not blue is \(\frac{2}{3}\).

---