In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Keshawn 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.
104 visitors purchased exactly one costume.
6 visitors purchased more than one costume.

Based on these results, express the probability that the next person will purchase no costume as a percent to the nearest whole number.

1 answer

To find the probability that the next person visiting Keshawn's website will purchase no costume, we first need to determine the total number of visitors and the number of visitors who purchased no costume.

  1. Total visitors:

    • Visitors who purchased no costume: \(28\)
    • Visitors who purchased exactly one costume: \(104\)
    • Visitors who purchased more than one costume: \(6\)

    Total visitors = Visitors who purchased no costume + Visitors who purchased exactly one costume + Visitors who purchased more than one costume \[ \text{Total visitors} = 28 + 104 + 6 = 138 \]

  2. Calculating the probability:

    • The probability \(P\) that the next person will purchase no costume is given by the number of visitors who purchased no costume divided by the total number of visitors: \[ P(\text{no costume}) = \frac{\text{Number of visitors who purchased no costume}}{\text{Total number of visitors}} = \frac{28}{138} \]
  3. Convert the probability to a percent: To convert the calculated probability to a percentage, multiply by 100: \[ P(\text{no costume}) \times 100 = \left(\frac{28}{138}\right) \times 100 \] Calculating the fraction: \[ \frac{28}{138} \approx 0.2029 \] Now convert to percentage: \[ 0.2029 \times 100 \approx 20.29% \]

  4. Rounding to the nearest whole number: Rounding \(20.29%\) gives: \[ \text{Rounded percentage} = 20% \]

Therefore, the probability that the next person will purchase no costume, expressed as a percent to the nearest whole number, is \(\boxed{20}\).