Question

question
in a popular online role playing game, players can create detailed designs for their character’s costumes, or appearance. eli sets up a website where players can buy and sell these costumes. information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
314 visitors purchased no costume.
68 visitors purchased exactly one costume.
17 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.
answer attempt 1 out of 2
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Explanation:

Step1: Find total number of visitors

First, we need to find the total number of visitors. We add up the number of visitors in each category: no costume (\(344\)), exactly one costume (\(68\)), and more than one costume (\(17\)). So the total number of visitors \(N = 344 + 68 + 17\).
\(N = 344+68 + 17=429\)

Step2: Calculate the probability

The probability of an event is the number of favorable outcomes divided by the total number of outcomes. Here, the number of favorable outcomes (visitors who purchased exactly one costume) is \(68\), and the total number of outcomes (total visitors) is \(429\). So the probability \(P=\frac{68}{429}\). We check if this fraction can be simplified. The greatest common divisor (GCD) of \(68\) and \(429\): factors of \(68 = 2\times2\times17\), factors of \(429=3\times11\times13\). There are no common factors other than \(1\), so the fraction is in simplest form.

Answer:

\(\frac{68}{429}\)