(2.6) Students from a particular college were asked which subject is their favorite. Find the probability of selecting a student who favored math given they were male. Male Female Math 12 English 15 25 History 14 13 Science 7 O.12 about .57 O.48 O .25 O about .5
Unitary Method
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![**Problem 2.6**
Students from a particular college were asked which subject is their favorite. Find the probability of selecting a student who favored math given they were male.
The table below presents the number of male and female students who favored each subject:
| Subject | Male | Female |
|----------|------|--------|
| Math | 12 | 9 |
| English | 15 | 25 |
| History | 14 | 13 |
| Science | 7 | 5 |
To determine the probability of selecting a male student who favored math, given that the student is male, follow these steps:
1. **Identify the total number of male students**: This is the sum of all males favoring each subject.
\[
\text{Total Male Students} = 12 + 15 + 14 + 7 = 48
\]
2. **Identify the number of males who favored math**: This is provided as 12.
3. **Calculate the conditional probability**: The probability of a randomly selected male student favoring math is given by the ratio of the number of males who favor math to the total number of males.
\[
P(\text{Math | Male}) = \frac{\text{Number of Males Favoring Math}}{\text{Total Number of Males}} = \frac{12}{48} = 0.25
\]
**Answer Choices:**
- .12
- about .57
- .48
- .25
- about .5
Therefore, the correct answer is **.25**.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F053c6ca3-ec6e-4fad-971a-0b11bf57cce8%2F0c27b801-cdd2-4801-bd37-f8f03cbf1c69%2Fmanjas_processed.png&w=3840&q=75)
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