|. What is the probability the selected player was playing in Open World mode? 2. What is the chance the selected player was playing in Player v. Player mode AND on the EU server? . If Gaile selected a player who was playing in Player v. Player mode, what is the probability that player was on the NA server?
Compound Probability
Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.
Tree diagram
Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.
Conditional Probability
By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.
![Keeping track of the players - Gaile works for a software company that runs a massive multi-player online role-playing game. The game runs on two different servers, one located in North America (NA) and the other in
Europe (EU). At any given time, players can be playing in one of three game modes: Open World, Story Instance, or Player v. Player.
At 10:00 AM Pacific time on a Sunday, Gaile downloaded a list of players who were online at that time, then selected a group of 1130 of those players and recorded the game mode they were playing at that time and the server
they were playing on.
The results are summarized in the table below.
Server Open World Story Instance Player v. Player Total
NA
412
123
188
723
EU
167
85
155
407
Total
579
208
343
1130
Suppose Gaile randomly selects one of the 1130 players represented in the table above.
Round all answers to 4 decimal places.
1. What is the probability the selected player was playing in Open World mode?
2. What is the chance the selected player was playing in Player v. Player mode AND on the EU server?
3. If Gaile selected a player who was playing in Player v. Player mode, what is the probability that player was on the NA server?
4. If the selected player was playing on the EU server, what is the chance they were playing in Story Instance mode?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3c69c300-2450-4b46-97af-8596007e11b9%2F13d0912f-28e0-4296-8658-3b66a435c299%2Fscuyc7vg_processed.png&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
![Elementary Statistics: Picturing the World (7th E…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
![Introduction to the Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)