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Q: Are dependent events always mutually exclusive?
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If two events are mutually exclusive then they must be dependent?

No, if two events are mutually exclusive, they cannot both occur. If one occurs, it means the second can not occur.


What is used in probabilty when looking for the outcomes of 2 events?

Whether the events are independent or dependent, whether or not they are mutually exclusive.


What is the definition of mutually exclusive events?

The definition of mutually exclusive events is that the events can't occur at the same time. For example, you can't flip a coin and get a head and a tail; they are mutually exclusive events.


Are mutually exclusive events independent?

Not necessarily. In fact, in binary situations they can be totally dependent - depends on the experiment.


What is potentially inclusive events?

It is the opposite of mutually exclusive. Potentially inclusive are events that can happen at the same time, as mutually exclusive events can't.


Can two mutually exclusive events occur at the same time?

No because the term mutually exclusive implies the the trials that could result in these events are sequenced in time.


What is True about mutually exclusive events?

At most one of the events can occur.


How determine probablity for mutually exclusive events?

Mutually exclusive events are considered two events that cannot coexist with one another, in other words, if the first event is happening the second just cannot. Determining the probability for mutually exclusive events can be done by using the formula P ( A and B ) = 0.


Are complementary events also mutually exclusive events?

Yes, they are. Mutually exclusive events cannot occur together. Complementary events cannot occur together either because an event and its complement are the negative of each other.


Two events are mutually exclusive if the occurrence of one depends on the occurrence of the other?

That depends on your definition of "depends." Mutually exclusive events are events that cannot occur at the same time. If you knew that Independent events most certainly can happen at the same time, you could easily deduce that mutually exclusive events are always dependent events. And while it's true dependent events affect the outcome of one another, that's not so easy to see when your dealing with events that don't occur in succession.It can be said that if a mutually exclusive event occurs, the other events that are mutually exclusive in relation to it have not taken place, i.e. the complement of that event has not taken place. When you look at only two events that are mutually exclusive and jointly exhaustive (i.e. all the possible events) like flipping a coin once and getting either a head or a tails (where the probability of the coin landing on it's side is 0), you can say that one event, flipping a head, is dependent on the other event, flipping a tail, not happening. Therefore the events are mutually exclusive.Now imagine two events which are still mutually exclusive but not jointly exhaustive, e.g. rolling a 2 or a 3 with a six sided die. Lets assume the die is not weighted so the probability of each is 1/6. A roll of two does not only depend on not rolling a three. To roll a 2 means not rolling a 1,3,4,5 or 6. To say that rolling a 2 and rolling a 3 are mutually exclusive if the occurrence one depends on the occurrence of the other is ambiguous at best, if not wrong. Rolling a 2 and rolling a 3 are mutually exclusive only because its impossible for both to happen at the same time with one roll, or you can say that P(2and3)=0.It's fair to say that two events are mutually exclusive if the occurrence of one depends on the other not happening. But if you thought that two events are mutually exclusive because the occurrence of one relays on the occurrence of the other then you were wrong. That just describes dependent events in succession.If one event's occurence depends upon the occurence of another, and the events cannot occur with a certain outcome otherwise, they are said to be dependent events. Mutually exclusive events are events that cannot occur together, as the occurence of one prohibits the occurence of the other. An example of a mutually exclusive event is this: two dice are rolled; what is the possibility of rolling both a nine and a double? One cannot roll both a nine and a double simultaneously; therefore, the events are mutually exclusive because one outcome excludes the other. An example of a dependent event is this: Susan is baking cookies. She has enough batter for two dozen chocolate chip cookies and one dozen oatmeal cookies. Therefore, the ratio of chocolate chip to oatmeal is 1.5:1. If Susan's little brother eats half of the chocolate chip cookies, the ratio changes to become 1:1. The possibility of the ratio being 1:1 is dependent upon Susan's brother eating half of the chocolate chip cookies. Thus, it is a dependent event. If one event's occurence depends upon the occurence of another, and the events cannot occur with a certain outcome otherwise, they are said to be dependent events. Mutually exclusive events are events that cannotoccur together, as the occurence of one prohibits the occurence of the other. An example of a mutually exclusive event is this: two dice are rolled; what is the possibility of rolling both a nine and a double? One cannot roll both a nine and a double simultaneously; therefore, the events are mutually exclusive because one outcome excludes the other. An example of a dependent event is this: Susan is baking cookies. She has enough batter for two dozen chocolate chip cookies and one dozen oatmeal cookies. Therefore, the ratio of chocolate chip to oatmeal is 1.5:1. If Susan's little brother eats half of the chocolate chip cookies, the ratio changes to become 1:1. The possibility of the ratio being 1:1 is dependent upon Susan's brother eating half of the chocolate chip cookies. Thus, it is a dependent event. If one event's occurence depends upon the occurence of another, and the events cannot occur with a certain outcome otherwise, they are said to be dependent events. Mutually exclusive events are events that cannotoccur together, as the occurence of one prohibits the occurence of the other. An example of a mutually exclusive event is this: two dice are rolled; what is the possibility of rolling both a nine and a double? One cannot roll both a nine and a double simultaneously; therefore, the events are mutually exclusive because one outcome excludes the other. An example of a dependent event is this: Susan is baking cookies. She has enough batter for two dozen chocolate chip cookies and one dozen oatmeal cookies. Therefore, the ratio of chocolate chip to oatmeal is 1.5:1. If Susan's little brother eats half of the chocolate chip cookies, the ratio changes to become 1:1. The possibility of the ratio being 1:1 is dependent upon Susan's brother eating half of the chocolate chip cookies. Thus, it is a dependent event.Mutually exclusive events refers to the events that cannot occur at the same time.


In maths What is Mutually exclusive probability?

Mutually exclusive means they are independent of one another. So, the two events are independent of one another.


If two events A and B are mutually exclusive then they are independent?

No, independence means they are not related. Mutually exclusive means they cannot occur at the same time.