Question
Question
In a popular online role playing game, players can create detailed designs for their character’s “costumes,” or
appearance, Landon sets up a website where players can buy and sell these costumes online. Information
about the number of people who visited the website and the number of costumes purchased in a single day is
listed below.
28 visitors purchased no costume.
319 visitors purchased exactly one costume.
34 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase exactly one costume as a
fraction in simplest form.
In a popular online role playing game, players can create detailed designs for their character’s “costumes,” or
appearance, Landon sets up a website where players can buy and sell these costumes online. Information
about the number of people who visited the website and the number of costumes purchased in a single day is
listed below.
28 visitors purchased no costume.
319 visitors purchased exactly one costume.
34 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase exactly one costume as a
fraction in simplest form.
Ask by Fitzgerald Sherman. in the United States
Mar 18,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The probability that the next person will purchase exactly one costume is
Solution
To find the probability that the next person will purchase exactly one costume, we need to calculate the total number of visitors and the number of visitors who purchased exactly one costume.
Given:
- 28 visitors purchased no costume.
- 319 visitors purchased exactly one costume.
- 34 visitors purchased more than one costume.
Total number of visitors = 28 + 319 + 34 = 381 visitors.
Number of visitors who purchased exactly one costume = 319 visitors.
Probability that the next person will purchase exactly one costume = Number of visitors who purchased exactly one costume / Total number of visitors.
Probability = 319 / 381.
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD).
Calculate the value by following steps:
Calculate the value by following steps:
- step0: Calculate:
The probability that the next person will purchase exactly one costume is.
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Beyond the Answer
To find the probability that the next person will purchase exactly one costume, we first need to calculate the total number of visitors. This is done by adding all the groups of visitors together:
28 (purchased no costume) + 319 (purchased exactly one) + 34 (purchased more than one) = 381 visitors in total.
Now, the probability of a visitor purchasing exactly one costume is the number of visitors who did so divided by the total number of visitors:
Probability = Number of visitors who purchased exactly one costume / Total number of visitors = 319 / 381.
To simplify the fraction, we can see that both 319 and 381 do not have common factors other than 1, so the simplest form remains 319/381.
Now, you have your fraction, and it’s that simple!
But here’s a fun fact: Did you know that the concept of probability actually dates back to the 16th century? Early probability theory was developed through gambling and games of chance, which sounds familiar, right? Now, look how it can be applied to in-game purchases—a perfect blend of history and gaming!
Also, let’s keep in mind that statistical analysis and probability can help Landon optimize his website. By analyzing visitor behavior, he could implement strategies to encourage more visitors to make purchases, like offering limited-time sales or showcasing popular costumes—just a little nudge to enhance sales!
