A bag has 14 blue balls and 12 yellow balls. A ball is drawn from the bag without looking into the bag. What is the probability of getting a yellow ball?

Options

A. `(1)/(6)`
B. `(2)/(3)`
C. `(4)/(5)`
D. `(6)/(13)`

Answer

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

### Step-by-Step Solution:

1. **Identify the number of blue and yellow balls:**
- The bag contains 14 blue balls and 12 yellow balls.

2. **Calculate the total number of balls in the bag:**
- Total balls = Number of blue balls + Number of yellow balls
- Total balls = 14 + 12 = 26

3. **Determine the number of favorable outcomes:**
- The favorable outcomes for drawing a yellow ball are the number of yellow balls, which is 12.

4. **Use the probability formula:**
- Probability of an event = (Number of favorable outcomes) / (Total number of outcomes)
- Probability of drawing a yellow ball = Number of yellow balls / Total number of balls
- Probability of drawing a yellow ball = 12 / 26

5. **Simplify the fraction:**
- To simplify 12/26, we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 2.
- 12 ÷ 2 = 6
- 26 ÷ 2 = 13
- Therefore, the simplified probability = 6/13.

### Final Answer:
The probability of drawing a yellow ball is **6/13**.

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