In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Juan 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.

Question

31 visitors purchased no costume.
26 visitors purchased exactly one costume.
2 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.

Answer 1

To find the probability that the next person who visits Juan's website will purchase exactly one costume, we need to determine the total number of visitors and the number of visitors who purchased exactly one costume.

We have the following data:

• Visitors who purchased no costumes: 31
• Visitors who purchased exactly one costume: 26
• Visitors who purchased more than one costume: 2

First, let's calculate the total number of visitors:

\[ \text{Total Visitors} = \text{Visitors (no costumes)} + \text{Visitors (exactly one)} + \text{Visitors (more than one)} \]

Substituting the values we have:

\[ \text{Total Visitors} = 31 + 26 + 2 = 59 \]

Next, we need to find the number of visitors who purchased exactly one costume, which is given as 26.

Now we can calculate the probability \( P \) that the next visitor will purchase exactly one costume:

\[ P(\text{exactly one costume}) = \frac{\text{Number of visitors who purchased exactly one costume}}{\text{Total number of visitors}} \]

Substituting the values:

\[ P(\text{exactly one costume}) = \frac{26}{59} \]

Now we need to compute this decimal. Dividing 26 by 59:

\[ \frac{26}{59} \approx 0.4406779661 \]

Rounding this to the nearest hundredth:

\[ P(\text{exactly one costume}) \approx 0.44 \]

Thus, the probability that the next person will purchase exactly one costume is:

\[ \boxed{0.44} \]