There are 13 girls and 15 boys in a line. If one student is chosen at random, then find the probability that he is a boy.

Options

A. `13//28`
B. `15//28`
C. `13//15`
D. None of these

Answer

To solve the problem of finding the probability that a randomly chosen student is a boy, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Total Number of Students:**
- We have 13 girls and 15 boys.
- Total number of students = Number of girls + Number of boys
\[ \text{Total students} = 13 + 15 = 28 \]

2. **Identify the Number of Favorable Outcomes:**
- The favorable outcome in this case is choosing a boy.
- Number of boys = 15

3. **Calculate the Probability:**
- Probability is defined as the number of favorable outcomes divided by the total number of outcomes.
\[ \text{Probability (P)} = \frac{\text{Number of boys}}{\text{Total number of students}} = \frac{15}{28} \]

4. **Final Answer:**
- The probability that a randomly chosen student is a boy is:
\[ P(\text{boy}) = \frac{15}{28} \]