A bag containing 5 red and 3 blue balls. If 3 balls are drawn at random without replacement the probability that exactly two of the three balls were red, the first being red is

Options

A. `1/3`
B. `4/7`
C. `15/56`
D. `5/28`

Explanation

To solve the problem, we need to find the probability that exactly two of the three balls drawn from a bag containing 5 red and 3 blue balls are red, given that the first ball drawn is red.

### Step-by-step Solution:

1. **Identify the total number of balls**:
- There are 5 red balls and 3 blue balls.
- Total number of balls = 5 (red) + 3 (blue) = 8 balls.

...