A bag contains 3 red and 2 blue marbles. A marble is drawn at random. What is the probability of drawing a blue marble?

Options

A. `3/5`
B. `2/5`
C. `1/5`
D. `4/5`

Answer

To solve the problem of finding the probability of drawing a blue marble from a bag containing 3 red and 2 blue marbles, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Total Number of Marbles**:
- In the bag, there are 3 red marbles and 2 blue marbles.
- Total number of marbles = Number of red marbles + Number of blue marbles
- Total number of marbles = 3 + 2 = 5

2. **Identify the Number of Favorable Outcomes**:
- We are interested in drawing a blue marble.
- The number of blue marbles (favorable outcomes) = 2

3. **Use the Probability Formula**:
- The formula for probability (P) is given by:
\[ P(\text{Event}) = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Outcomes}} \]
- Here, the event is drawing a blue marble.

4. **Calculate the Probability**:
- Substitute the values into the formula:
\[ P(\text{Blue Marble}) = \frac{\text{Number of Blue Marbles}}{\text{Total Number of Marbles}} = \frac{2}{5} \]

5. **Conclusion**:
- The probability of drawing a blue marble from the bag is \(\frac{2}{5}\).