There are 5 red and 3 black balls in a bag. A red ball is drawn at random. Find its probability.

Explanation

To solve the problem of finding the probability of drawing a red ball from a bag containing 5 red balls and 3 black balls, we can follow these steps:

### Step 1: Identify the total number of balls
We have:
- Number of red balls = 5
- Number of black balls = 3

**Total number of balls = Number of red balls + Number of black balls**
\[ \text{Total number of balls} = 5 + 3 = 8 \]

### Step 2: Identify the number of favorable outcomes
The event we are interested in is drawing a red ball. The number of favorable outcomes (drawing a red ball) is equal to the number of red balls.

**Number of favorable outcomes = Number of red balls = 5**

### Step 3: Apply the probability formula
The probability \( P(E) \) of an event \( E \) is given by the formula:
\[ P(E) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]

Substituting the values we found:
\[ P(\text{drawing a red ball}) = \frac{5}{8} \]

### Final Answer
The probability of drawing a red ball at random from the bag is:
\[ \frac{5}{8} \]

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