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 blue

Answer

To find the probability that a ball drawn from the bag is not blue, we can follow these steps:

### Step 1: Identify the number of each color of balls in the bag.
- Number of red balls = 6
- Number of blue balls = 8
- Number of 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 blue.
Balls that are not blue = Number of red balls + Number of yellow balls
Balls that are not blue = 6 + 10 = 16

### Step 4: Calculate the probability of drawing a ball that is not blue.
Probability of not blue = (Number of balls that are not blue) / (Total number of balls)
Probability of not blue = 16 / 24

### Step 5: Simplify the fraction.
To simplify 16/24, we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 8.
16 ÷ 8 = 2
24 ÷ 8 = 3
So, Probability of not blue = 2/3

### Final Answer:
The probability that the ball drawn is not blue is **2/3**.

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