In a computer instant messaging survey, respondents were asked to choose the most fun way to flirt, and it found that $P(D)=0.620$, where $D$ is directly in person. If someone is randomly selected, what does $P(\bar{D})$ represent, and what is its value?
What does $P(\bar{D})$ represent?
A. $P(\bar{D})$ is the probability of randomly selecting someone who chooses a direct in-person encounter as the most fun way to flirt.
B. $P(\bar{D})$ is the probability of randomly selecting someone who did not participate in the survey.
C. $P(\bar{D})$ is the probability of randomly selecting someone who did not have a preference in regards to the most fun way to flirt.

D. $P(\bar{D})$ is the probability of randomly selecting someone who does not choose a direct in-person encounter as the most fun way to flirt.

Step 1 ：The question is asking for the meaning and value of $P(\bar{D})$. In probability, the bar over a variable represents the complement of the event. In this case, $P(\bar{D})$ represents the probability of the event not happening. So, $P(\bar{D})$ is the probability of randomly selecting someone who does not choose a direct in-person encounter as the most fun way to flirt.

Step 2 ：To calculate the value of $P(\bar{D})$, we subtract the probability of $D$ from 1, because the sum of the probabilities of an event and its complement is always 1.

Step 3 ：Given that $P(D) = 0.62$, we can calculate $P(\bar{D})$ as follows: $P(\bar{D}) = 1 - P(D) = 1 - 0.62 = 0.38$

Step 4 ：Final Answer: The $P(\bar{D})$ represents the probability of randomly selecting someone who does not choose a direct in-person encounter as the most fun way to flirt. Its value is \(\boxed{0.38}\).