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:
white

Answer

To find the probability of drawing a white ball from the bag, 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
\[ \text{Total} = 4 + 6 + 5 = 15 \]

### Step 3: Identify the number of favorable outcomes for drawing a white ball.
The number of favorable outcomes (white balls) = 5

### Step 4: Use the probability formula to find the probability of drawing a white ball.
The probability \( P \) of an event is given by the formula:
\[ P(\text{event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]
In this case, the probability of drawing a white ball is:
\[ P(\text{white ball}) = \frac{\text{Number of white balls}}{\text{Total number of balls}} = \frac{5}{15} \]

### Step 5: Simplify the fraction.
\[ P(\text{white ball}) = \frac{5}{15} = \frac{1}{3} \]

### Final Answer:
The probability that the ball drawn is white is \( \frac{1}{3} \).

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