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The question asks for the probability that a randomly selected male dormitory resident has had a flu shot, given that the resident is male.

### Step-by-Step Solution:

1. **Identify the total number of male residents**: 
   From the table, there are 51 male residents in total.

2. **Identify how many males had a flu shot**: 
   According to the table, 39 male residents received a flu shot.

3. **Calculate the probability**:
   The probability is the ratio of males who had a flu shot to the total number of males. This can be expressed as:

   \[
   P(\text{Had flu shot | Male}) = \frac{\text{Number of males who had a flu shot}}{\text{Total number of males}} = \frac{39}{51}
   \]

4. **Simplify the fraction**:
   The fraction \(\frac{39}{51}\) can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:

   \[
   \frac{39}{51} = \frac{13}{17}
   \]

Thus, the probability that a randomly selected male dormitory resident has had a flu shot is **13/17**.

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Would you like further details on this, or do you have any other questions?

Here are 5 related questions to extend your understanding:
1. What is the probability that a randomly selected female has had a flu shot?
2. What is the probability that a randomly selected dormitory resident (regardless of gender) has not had a flu shot?
3. What is the probability that a dormitory resident is female given they have had a flu shot?
4. How would the probability change if 5 additional males received flu shots?
5. What is the joint probability of selecting a resident who is male and did not receive a flu shot?

**Tip**: Always check for conditional probability when you're given additional context, like "given that" in the problem!

The director of health services is concerned about a possible flu outbreak at her college. She surveyed 100 randomly selected residents from the college's dormitories to see whether they had received a preventative flu shot. The results are shown below. What is the probability that a dormitory resident chosen at random from this group has had a flu shot, given that he is male?

Learn how to calculate the conditional probability of a male resident receiving a flu shot, based on data from a dormitory flu survey. This example covers core concepts like conditional probability and ratios, suitable for Grades 8-12.

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