Question

In a particular school, students take one of Math, Chemistry, or Physics, and one of History or Drama. The choices are shown in the table.

Math Chemistry Physics TOTAL
History 94 81 60 235
Drama 25 30 12 67
TOTAL 119 111 72 302
What is the probability that a student, selected at random, takes Math or Drama?

Question 9 options:

0.408


0.616


0.394


0.533

Answer 1

To find the probability that a student takes either Math or Drama, we can follow these steps:

1. **Calculate the total number of students**: From the table, the total number of students is given as 302.

2. **Calculate the number of students taking Math or Drama**:
- Students taking Math = 119 (total in the Math column)
- Students taking Drama = 67 (total in the Drama row)
- However, we need to ensure not to double-count the students who might be taking both Math and Drama. But since students can only choose one subject from Math, Chemistry, or Physics, and one from History or Drama, there is no overlap here.

Therefore, the total number of students taking Math or Drama is:
\[
\text{Students taking Math or Drama} = \text{Students taking Math} + \text{Students taking Drama} = 119 + 67 = 186
\]

3. **Calculate the probability**:
\[
P(\text{Math or Drama}) = \frac{\text{Number of students taking Math or Drama}}{\text{Total number of students}} = \frac{186}{302}
\]

4. **Calculate the probability**:
\[
P(\text{Math or Drama}) = \frac{186}{302} \approx 0.616
\]

Therefore, the probability that a student selected at random takes Math or Drama is **0.616**.

The correct option is:
**0.616**