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Answer :
To find the probability that a dormitory resident chosen at random has had a flu shot, given that he is male, we follow these steps:
1. Identify the Relevant Group: Since we need to know the probability for males, focus on the male residents only.
2. Determine the Total Number of Males: The total number of male residents surveyed is 51.
3. Determine the Number of Males Who Had a Flu Shot: According to the data, 39 male residents have received a flu shot.
4. Calculate the Probability: The probability that a randomly selected male resident has had a flu shot is found by dividing the number of males who had a flu shot by the total number of males:
[tex]\[
\text{Probability} = \frac{\text{Number of males who had a flu shot}}{\text{Total number of males}} = \frac{39}{51}
\][/tex]
5. Simplify the Result: By performing the division, you get approximately 0.7647.
Therefore, the probability that a dormitory resident chosen at random from this group has had a flu shot, given that he is male, is approximately 0.7647 or 76.47%.
1. Identify the Relevant Group: Since we need to know the probability for males, focus on the male residents only.
2. Determine the Total Number of Males: The total number of male residents surveyed is 51.
3. Determine the Number of Males Who Had a Flu Shot: According to the data, 39 male residents have received a flu shot.
4. Calculate the Probability: The probability that a randomly selected male resident has had a flu shot is found by dividing the number of males who had a flu shot by the total number of males:
[tex]\[
\text{Probability} = \frac{\text{Number of males who had a flu shot}}{\text{Total number of males}} = \frac{39}{51}
\][/tex]
5. Simplify the Result: By performing the division, you get approximately 0.7647.
Therefore, the probability that a dormitory resident chosen at random from this group has had a flu shot, given that he is male, is approximately 0.7647 or 76.47%.
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