There are 6 red and 4 black balls in a bag. A ball is drawn at random. Find the probability that the ball drawn is red.

Explanation

To find the probability that the ball drawn is red, we can follow these steps:

### Step 1: Identify the total number of balls in the bag.
We have:
- Number of red balls = 6
- Number of black balls = 4

**Total number of balls = Number of red balls + Number of black balls**
\[ \text{Total number of balls} = 6 + 4 = 10 \]

### Step 2: Identify the number of favorable outcomes.
The favorable outcomes for drawing a red ball are simply the number of red balls:
- Number of favorable outcomes (red balls) = 6

### Step 3: Use the probability formula.
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 event is drawing a red ball.

### Step 4: Substitute the values into the formula.
Using the values we identified:
\[ P(\text{Red ball}) = \frac{\text{Number of red balls}}{\text{Total number of balls}} = \frac{6}{10} \]

### Step 5: Simplify the fraction.
To simplify \( \frac{6}{10} \):
\[ \frac{6}{10} = \frac{3}{5} \]

### Final Answer:
The probability that the ball drawn is red is \( \frac{3}{5} \).

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