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in a popular online role playing game, players can create de... designs for their characters \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.
Step1: Calculate total visitors
To find the total number of visitors, we add the number of visitors in each category. So, total visitors = visitors with no costume + visitors with exactly one costume + visitors with more than one costume.
$28 + 319 + 34 = 381$
Step2: Find probability
The probability of an event is the number of favorable outcomes (visitors who purchased exactly one costume) divided by the total number of outcomes (total visitors). So, probability = $\frac{319}{381}$. We check if this fraction can be simplified. The greatest common divisor of 319 and 381: 319 factors are 11×29, 381 factors are 3×127. No common factors, so it's in simplest form.
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$\frac{319}{381}$