A jar contains 3 blue, 2 black, 6 red, and 8 white balls, If a ball is drawn at random from the jar, find the probability that the ball drawn is:
white

Answer

To find the probability of drawing a white ball from the jar, we can follow these steps:

### Step 1: Identify the number of each color of balls in the jar.
- Blue balls: 3
- Black balls: 2
- Red balls: 6
- White balls: 8

### Step 2: Calculate the total number of balls in the jar.
To find the total number of balls, we add the number of each color of balls together:
\[ \text{Total number of balls} = \text{Number of blue balls} + \text{Number of black balls} + \text{Number of red balls} + \text{Number of white balls} \]
\[ \text{Total number of balls} = 3 + 2 + 6 + 8 = 19 \]

### Step 3: Identify the number of favorable outcomes for drawing a white ball.
The number of favorable outcomes (white balls) is given as:
\[ \text{Number of white balls} = 8 \]

### Step 4: Use the probability formula to find the probability of drawing a white ball.
The probability \( P \) of an event is calculated using the formula:
\[ P(\text{event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]
In this case:
\[ P(\text{drawing a white ball}) = \frac{\text{Number of white balls}}{\text{Total number of balls}} = \frac{8}{19} \]

### Final Answer:
The probability that the ball drawn is white is:
\[ \frac{8}{19} \]

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