A bag contains 4 red, 6 black and 5 white balls, A ball is drawn at random from the bag. Find the probability that the ball drawn is:
not black

Answer

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

### Step 1: Identify the number of each color of balls in the bag.
- Red balls = 4
- Black balls = 6
- White balls = 5

### Step 2: Calculate the total number of balls in the bag.
Total number of balls = Number of red balls + Number of black balls + Number of white balls
Total number of balls = 4 + 6 + 5 = 15

### Step 3: Determine the favorable outcomes for drawing a ball that is not black.
The favorable outcomes are the red and white balls.
Favorable outcomes = Number of red balls + Number of white balls
Favorable outcomes = 4 + 5 = 9

### Step 4: Calculate the probability of drawing a ball that is not black.
Probability (not black) = (Number of favorable outcomes) / (Total number of outcomes)
Probability (not black) = 9 / 15

### Step 5: Simplify the probability.
To simplify 9/15, we can divide both the numerator and the denominator by their greatest common divisor, which is 3.
9 ÷ 3 = 3
15 ÷ 3 = 5
So, the simplified probability is 3/5.

### Final Answer:
The probability that the ball drawn is not black is **3/5**.

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