A bag contains 3 red and 5 blue balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is:
red?

Answer

To find the probability of drawing a red ball from a bag containing 3 red and 5 blue balls, we can follow these steps:

### Step 1: Identify the number of favorable outcomes
The number of favorable outcomes for drawing a red ball is the number of red balls in the bag.
- **Favorable outcomes (red balls)** = 3

### Step 2: Identify the total number of outcomes
The total number of outcomes is the total number of balls in the bag, which is the sum of red and blue balls.
- **Total outcomes** = Number of red balls + Number of blue balls = 3 + 5 = 8

### Step 3: Calculate the probability
The probability of an event is calculated using the formula:
\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]
In this case, the probability of drawing a red ball is:
\[ \text{Probability of red} = \frac{3}{8} \]

### Final Answer
The probability that the ball drawn is red is \( \frac{3}{8} \).

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