There are 5 red and 4 black balls in a bag. The probability of drawing a red ball is:

Options

A. `4/9`
B. `5/9`
C. `5/11`
D. `6/11`

Explanation

To find the probability of drawing a red ball from a bag containing red and black balls, we can follow these steps:

### Step 1: Identify the total number of balls
We have:
- 5 red balls
- 4 black balls

Total number of balls = Number of red balls + Number of black balls
Total number of balls = 5 + 4 = 9

### Step 2: Identify the number of favorable outcomes
The favorable outcomes for drawing a red ball are simply the number of red balls present in the bag.
Favorable outcomes = Number of red balls = 5

### Step 3: Calculate the probability
The probability of an event is given by the formula:
\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]

Substituting the values we found:
\[ \text{Probability of drawing a red ball} = \frac{5}{9} \]

### Final Answer
Thus, the probability of drawing a red ball is \( \frac{5}{9} \).

---