Question

In a computer instant messaging​ survey, respondents were asked to choose the most fun way to​ flirt, and it found that ​P(D)equals0.520​, where D is directly in person. If someone is randomly​ selected, what does Upper P (Upper D overbar )​represent, and what is its​ value? What does Upper P (Upper D overbar )​represent?

Answer 1

`P(\overline{D})=0.48`

Explanation:

D is directly in person.

P(D) is the probability that a randomly selected person chooses the method "directly in person" as the most fun way to flirt.

`P(\overline{D})` is the probability of the complement of D.

That is, the probability that a randomly selected person chooses a method other than"directly in person " as the most preferred method to flirt.

In probability, the sum of the probability of an event and probability of its complement is 1.

Therefore:

If P(D)=0.520

`P(D)+P(\overline{D})=1\\0.520+P(\overline{D})=1\\P(\overline{D})=1-0.52\\P(\overline{D})=0.48`