In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Abigail 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.146 visitors purchased no costume.230 visitors purchased exactly one costume.31 visitors purchased more than one costume.Based on these results, express the probability that the next person will purchase exactly one costume as a decimal to the nearest hundredth.
Question
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Abigail 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.146 visitors purchased no costume.230 visitors purchased exactly one costume.31 visitors purchased more than one costume.Based on these results, express the probability that the next person will purchase exactly one costume as a decimal to the nearest hundredth.
Solution
To solve this problem, we first need to find the total number of visitors. We do this by adding the number of visitors who purchased no costume, exactly one costume, and more than one costume.
So, the total number of visitors is 146 (no costume) + 230 (one costume) + 31 (more than one costume) = 407 visitors.
The probability that the next person will purchase exactly one costume is the number of visitors who purchased exactly one costume divided by the total number of visitors.
So, the probability is 230 (one costume) / 407 (total visitors) = 0.5651.
Rounding to the nearest hundredth, the probability is 0.57.
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