Meaning of mutually exclusive

Автор: Amy Stubblefield 17.12.2018

Mutually Exclusive

 



 



❤️ : Meaning of mutually exclusive

 


 

 

 

 

 

 

 

 

In probability theory, the word or allows for the possibility of both events happening. Then if the two events are mutually exclusive, they can not be independent. Times, Sunday Times 2016 Some the two are mutually exclusive. Project C, however, is independent; regardless of which other project is pursued, the company can still afford to pursue C as well.


meaning of mutually exclusive

 

Times, Sunday Times 2016 I don't the two are mutually exclusive. Times, Sunday Times 2016 I don't the two are mutually exclusive. Therefore, two mutually exclusive events cannot both occur.


meaning of mutually exclusive

 

Mutually Exclusive - If just one card is drawn from the deck, either a red card heart or diamond or a black card club or spade will be drawn.


meaning of mutually exclusive

 

They are, in a sense, completely opposite features. The two events are not mutually exclusive as there exists an Ace of Spades. Events are mutually exclusive if the occurrence of one event excludes the occurrence of the other s. Mutually exclusive events cannot happen at the same time. For example: when tossing a coin, the result can either be heads or tails but cannot be both. For example: when tossing two coins, the result of one flip does not affect the result of the other. Events of measure zero excepted. Is there any connection between independent events and mutually exclusive events? I guess there is none. But just want to confirm. Independent event :- the occurrence of one event does not affect the occurrence of the others e. From this example we can see the first event does not affect the occurrence of the next event. After reading the answers above I still could not understand clearly the difference between mutually exclusive AND independent events. I found a nice answer from Dr. So I attach it here so that op and many other confused guys like me could save some of their time. If two events A and B are independent a real-life example is the following. Consider a fair coin and a fair six-sided die. Let event A be obtaining heads, and event B be rolling a 6. Then we can reasonably assume that events A and B are independent, because the outcome of one does not affect the outcome of the other. An example of a mutually exclusive event is the following. Consider a fair six-sided die as before, only in addition to the numbers 1 through 6 on each face, we have the property that the even-numbered faces are colored red, and the odd-numbered faces are colored green. Let event A be rolling a green face, and event B be rolling a 6. But it is obvious that events A and B cannot simultaneously occur, since rolling a 6 means the face is red, and rolling a green face means the number showing is odd. Therefore, we see that a mutually exclusive pair of nontrivial events are also necessarily dependent events. This makes sense because if A and B are mutually exclusive, then if A occurs, then B cannot also occur; and vice versa. This stands in contrast to saying the outcome of A does not affect the outcome of B, which is independence of events. If I toss a coin twice, the result of the first toss and the second toss are independent. However the event that you get two heads is mutually exclusive to the event that you get two tails. Suppose two events have a non-zero chance of occurring. Then if the two events are mutually exclusive, they can not be independent. If two events are independent, they cannot be mutually exclusive. Events are Independent when happening of one does not influence happening of other. Eruption of volcano on Earth and orbit of Mars do not influence each other, so are independent events. Growth of human population and preservation of many other species are mutually exclusive, as the one can only happen if the other does not happen. Strictly speaking, mutually exclusive does not imply that one of them must happen. If there is a large asteroid impact on Earth, then neither human population grows nor endangered species are preserved. Think simple,for independents events we have two events two different events like tossing coin and rolling a disc,tossing two coins. So,probability of occurence of one does not effect the probability of occurence of other. In case of mutually exclusive events we have also two evevts may be more than two but difference is that the events are derived from the same events rolling dices with even number red coloured and odd number green coloured. Answers have been useful. You have learnt it. I am just sharing my learning here, just because the discussion help us solidify our understanding. Usually we talk about coins, dies in terms of trying to either understand or explain probabilistic events. If I don't use certain concepts for a while, I forget them. Then I hit another subject, module say biology where Mendelian inheritance genetics actually incorporate probability, specifically independent events and mutually exclusive events. It was quite interesting and let me revise my own concept gaps. I hope this will let you think from another application point of view. Product rule applies to independent events. You can be tall regardless of your skin colour. You can be fair regardless of your height. So you can be tall and fair at the same time, no offence to anyone, just taking the dominant traits here These are two independent events, that can come about together. Both of you could be Olympians, racing in your competitions at the same time and taking two medals away together. You can't swim in a rugby ground, so you will not influence his medal in anyway, so is he. You like to play the piano, your friend likes to play the violin. Both of you can play together and conduct a concert or an orchestra if you may. You don't influence each other in anyway. Imagine, only one swimmer will be chosen from the country to represent in Olympics for 100m freestyle. Lets say you are from Australia, and coaches must select one person for the team. One person, either you or Kyle Chalmers. In this case if you are selected, Kyle can't and vice versa. Both of you can't swim at the same time. Maths is life, explains physics, chemistry, biology, and what not.


What does mutually exclusive mean?

 

If the company pursues A, it cannot afford to also pursue B, and vice versa. Is there any connection between independent events and mutually exclusive events. Consider 3 other options available to the President. For example, it is impossible to el a five and a three on a single die at the same time. Times, Sunday Times 2007 The not the former, but the two are not mutually exclusive. But it is obvious that events A and B cannot simultaneously occur, since rolling a 6 means the con is red, and rolling a green face means the number showing is odd. One person, either you or Kyle Chalmers. If you are not a member or are having any other problems, please contact Thank you meaning of mutually exclusive your cooperation. In this case, the or technique is glad.