To know about the liking of Science as a subject , a survey of 200 students was conducted and the data obtained is given below :
Liking - 125, Disliking - 75
Find the probability that a student chosen at random
does not like Science as a subject

Answer

To find the probability that a student chosen at random does not like Science as a subject, we will follow these steps:

### Step-by-Step Solution:

1. **Identify the Total Number of Students**:
The total number of students surveyed is given as 200.

2. **Identify the Number of Students Who Dislike Science**:
From the data provided, the number of students who dislike Science is 75.

3. **Determine the Favorable Outcomes**:
The favorable outcome in this case is the number of students who do not like Science, which is 75.

4. **Use the Probability Formula**:
The formula for probability is:
\[ \text{Probability} = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Outcomes}} \]

5. **Substitute the Values into the Formula**:
Here, the number of favorable outcomes is 75 (students who dislike Science) and the total number of outcomes is 200 (total students surveyed). So, we substitute these values into the formula:
\[ \text{Probability} = \frac{75}{200} \]

6. **Simplify the Fraction**:
To simplify \(\frac{75}{200}\), we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 25:
\[ \frac{75 \div 25}{200 \div 25} = \frac{3}{8} \]

7. **Final Answer**:
Therefore, the probability that a student chosen at random does not like Science as a subject is:
\[ \frac{3}{8} \]