A bag contains 3 white and 2 red balls. One ball is drawn at random. What is the probability that the ball drawn is red?

Options

A. `1/2`
B. `2/3`
C. `1/5`
D. `2/5`

Answer

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

### Step 1: Identify the total number of balls in the bag.
The bag contains:
- 3 white balls
- 2 red balls

So, the total number of balls is:
\[ \text{Total number of balls} = 3 + 2 = 5 \]

### Step 2: Identify the number of favorable outcomes.
The favorable outcomes are the number of red balls in the bag. Since there are 2 red balls, we have:
\[ \text{Number of red balls} = 2 \]

### 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. Thus, we can substitute the values:
\[ P(\text{red ball}) = \frac{\text{Number of red balls}}{\text{Total number of balls}} = \frac{2}{5} \]

### Step 4: Write the final answer.
Therefore, the probability that the ball drawn is red is:
\[ \text{Probability} = \frac{2}{5} \]

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