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 solve the problem step by step, we will follow these instructions:

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

**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 outcome in this case is drawing a red ball. The number of red balls is:
\[ \text{Number of red balls} = 6 \]

### Step 3: Calculate the probability
The probability \( P \) of drawing a red ball is given by the formula:
\[ P(\text{Red}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]
Substituting the values we found:
\[ P(\text{Red}) = \frac{6}{10} \]

### Step 4: Simplify the fraction
To simplify \( \frac{6}{10} \):
\[ P(\text{Red}) = \frac{6 \div 2}{10 \div 2} = \frac{3}{5} \]

### Final Answer
Thus, the probability that the ball drawn is red is:
\[ \frac{3}{5} \]

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