There a 9 red and 5 black balls in a bag. A black ball is drawn at random. Find its probability.

Explanation

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

### Step 1: Identify the total number of balls
In the bag, there are:
- 9 red balls
- 5 black balls

To find the total number of balls, we add the number of red balls and black balls together.

\[ \text{Total number of balls} = \text{Number of red balls} + \text{Number of black balls} = 9 + 5 = 14 \]

### Step 2: Identify the number of favorable outcomes
The favorable outcome in this case is drawing a black ball. We know there are 5 black balls in the bag.

\[ \text{Number of favorable outcomes} = 5 \text{ (black balls)} \]

### Step 3: Use the probability formula
The probability of an event is given by the formula:

\[ P(\text{Event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]

In our case, the event is drawing a black ball.

\[ P(\text{Drawing a black ball}) = \frac{\text{Number of black balls}}{\text{Total number of balls}} = \frac{5}{14} \]

### Final Answer
The probability of drawing a black ball from the bag is:

\[ \frac{5}{14} \]

---