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:
not yellow

Answer

To find the probability that the ball drawn is not yellow, we will follow these steps:

### Step 1: Identify the number of each color of balls.
- Red balls = 6
- Blue balls = 8
- Yellow balls = 10

### Step 2: Calculate the total number of balls in the bag.
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 3: Determine the number of balls that are not yellow.
The balls that are not yellow are the red and blue balls.
Number of non-yellow balls = Number of red balls + Number of blue balls
Number of non-yellow balls = 6 + 8 = 14

### Step 4: Calculate the probability of drawing a ball that is not yellow.
Probability (P) of not drawing a yellow ball = Number of non-yellow balls / Total number of balls
P(not yellow) = 14 / 24

### Step 5: Simplify the probability.
To simplify 14/24, we can divide both the numerator and the denominator by their greatest common divisor, which is 2.
P(not yellow) = (14 ÷ 2) / (24 ÷ 2) = 7 / 12

### Final Answer:
The probability that the ball drawn is not yellow is **7/12**.

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