A bag contains 6 red balls 8 blue balls and 10 yellow balls, all the balls being of the same size. If a ball is drawn from the bag, without looking into it, find the probability that the ball drawn is:
blue

Answer

To find the probability of drawing a blue ball from the bag, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the number of each color of balls:**
- Number of red balls = 6
- Number of blue balls = 8
- Number of yellow balls = 10

2. **Calculate the total number of balls in the bag:**
\[ \text{Total number of balls} = \text{Number of red balls} + \text{Number of blue balls} + \text{Number of yellow balls} \]
\[ \text{Total number of balls} = 6 + 8 + 10 = 24 \]

3. **Determine the number of favorable outcomes for drawing a blue ball:**
- The number of favorable outcomes (blue balls) = 8

4. **Calculate the probability of drawing a blue ball:**
\[ \text{Probability of drawing a blue ball} = \frac{\text{Number of blue balls}}{\text{Total number of balls}} \]
\[ \text{Probability of drawing a blue ball} = \frac{8}{24} \]

5. **Simplify the fraction:**
\[ \frac{8}{24} = \frac{1}{3} \]

### Final Answer:
The probability of drawing a blue ball from the bag is \(\frac{1}{3}\).