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:
Yellow

Answer

To find the probability that a ball drawn from the bag is yellow, we can follow these steps:

### Step 1: Determine the total number of balls in the bag.
- The bag contains:
- 6 red balls
- 8 blue balls
- 10 yellow balls

**Calculation:**
Total number of balls = Number of red balls + Number of blue balls + Number of yellow balls
Total number of balls = 6 + 8 + 10 = 24

### Step 2: Identify the number of favorable outcomes.
- The favorable outcomes for drawing a yellow ball is the number of yellow balls in the bag.

**Calculation:**
Number of yellow balls = 10

### Step 3: Use the probability formula.
- The probability (P) of an event is given by the formula:
\[ P(\text{Event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]

**Calculation:**
\[ P(\text{Yellow ball}) = \frac{\text{Number of yellow balls}}{\text{Total number of balls}} \]
\[ P(\text{Yellow ball}) = \frac{10}{24} \]

### Step 4: Simplify the fraction.
- We can simplify \(\frac{10}{24}\) by finding the greatest common divisor (GCD) of 10 and 24, which is 2.

**Calculation:**
\[ \frac{10}{24} = \frac{10 \div 2}{24 \div 2} = \frac{5}{12} \]

### Final Answer:
The probability that the ball drawn is yellow is \(\frac{5}{12}\).

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