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:
not black

Answer

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

### Step 1: Count the total number of balls in the jar.
- We have:
- Blue balls: 3
- Black balls: 2
- Red balls: 6
- White balls: 8

**Total number of balls = Blue + Black + Red + White**
\[ \text{Total} = 3 + 2 + 6 + 8 = 19 \]

### Step 2: Count the number of favorable outcomes (not black balls).
- The favorable outcomes are the blue, red, and white balls.
- We have:
- Blue balls: 3
- Red balls: 6
- White balls: 8

**Total number of favorable outcomes = Blue + Red + White**
\[ \text{Favorable outcomes} = 3 + 6 + 8 = 17 \]

### Step 3: Calculate the probability of drawing a ball that is not black.
- The probability \( P \) of an event is given by the formula:
\[ P(\text{not black}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]
\[ P(\text{not black}) = \frac{17}{19} \]

### Final Answer:
The probability that the ball drawn is not black is \( \frac{17}{19} \).

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