**(a).** The probability that no one has done one time fling is .

**(b).** The probability that at least one person has done one time fling is .

**(c).** The probability that no more than two person has done one time fling is .

**Further explanation:**

**Given:**

If a person purchased an article of clothing and worn the cloths once then returned the clothes this is known as one time fling.

About adults do one time fling.

**Concept used:**

The probability of an event can be calculated as follows:

Here, is the **number of favorable outcomes** in an event and is the **number of element in sample space** .

The probability of exactly success in trial can be expressed as follows:

Here, is the **probability of success** in an event and is the **probability of failure**.

**Calculation:**

**Part (a):**

The probability that adults do one time fling is .

The probability that no adult do one time fling is calculated as follows:

There are adult friends in a group.

Consider as an event that no one has done one time fling in a group of seven friends and as the probability of an event .

The probability can be calculated as follows:

Therefore, the probability is .

**Part (b):**

Consider as a complement event of an event .

The complement of event is the event that at least one person has done one time fling in a group of friends.

The probability of event can be calculated as follows:

…… (1)

Substitute in the equation (1) to obtain the probability as follows:

Therefore, the probability that at least one person has done one time fling in a group of friends is .

**Part (c):**

The probability that no one has done one time fling is .

Consider as an event that one person has done one time fling in a group of seven friends and as the probability of an event .

The probability can be calculated as follows:

Consider as an event that exactly two person has done one time fling in a group of seven friends and as the probability of an event .

The probability can be calculated as follows:

Now, the probability that no more than two person has done one time fling in a group of friends can be calculated as follows:

…… (2)

Substitute , and in the equation (1) to obtain the probability as follows:

Therefore, the probability that no more than two person has done one time fling is .

**Learn more:**

**1.** Learn more about problem on numbers: brainly.com/question/1852063

**2.** Learn more about problem on function brainly.com/question/3225044

**Answer details:**

**Grade:** Senior school

**Subject:** Mathematics

**Chapter:** Probability

**Keywords:** Probability, exact event, sample space, number of element, complement event, success, failure, favorable, trial, one time fling, clothes, person, P(E)=n(E)/n(S).