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 online. 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 2 out of 2

Explanation:

Step1: Find total number of visitors

To find the total number of visitors, we add the number of visitors in each category: $314 + 68 + 17$.
$314+68 = 382$, then $382 + 17 = 399$.

Step2: Calculate the probability

The number of visitors who purchased exactly one costume is 68. The probability is the number of favorable outcomes (visitors who purchased exactly one costume) divided by the total number of outcomes (total visitors). So the probability is $\frac{68}{399}$.
We simplify this fraction by finding the greatest common divisor (GCD) of 68 and 399. The GCD of 68 and 399 is 17. Dividing both the numerator and the denominator by 17: $\frac{68\div17}{399\div17}=\frac{4}{23}$.

Answer:

$\frac{4}{23}$