(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).