Can an event be both independent and mutually exclusive?

If two events are mutually exclusive then they do not occur simultaneously, hence they are not independent. Yes, there is relationship between mutually exclusive events and independent events.

Can mutually inclusive events be independent?

Another way to think of it is that two mutually inclusive events cannot happen independently. If you have two events that are dependent in some way, they are mutually inclusive. In probability terms, two events are mutually inclusive if their intersection is greater than zero: P(A or B) > 0.

Can two events be mutually exclusive and independent simultaneously with examples?

Nope. If two events are mutually exclusive, they are as dependent as two events can be. Take example of a coin. Head and Tail are mutually exclusive events.

When two events are independent they are also mutually exclusive True False?

Two events are said to be independent if the occurrence of one does not affect the outcome of the other. They are said to be mutually exclusive if it is not possible for both events to occur simultaneously.

Can 2 events be both independent and disjoint at the same time?

Two disjoint events can never be independent, except in the case that one of the events is null. Essentially these two concepts belong to two different dimensions and cannot be compared or equaled. Events are considered disjoint if they never occur at the same time.

What is the relationship between mutually exclusive events and independent events?

Mutually exclusive events occur when two or more things happen at the same time. Independent events occur when the occurrence of one event has no bearing on the occurrence of another. The occurrence of one event will result in the non-occurrence of the other in mutually exclusive events.

What is the difference between mutually exclusive events and mutually inclusive events?

2 events are mutually exclusive when they cannot both occur simultaneously. 2 events are mutually inclusive when they can both occur simultaneously. The possible results of 1 trial of a probability experiment.

Does independent and mutually exclusive express the same concept?

Independent and mutually exclusive do not mean the same thing.

When two events are independent they are also mutually exclusive quizlet?

Two events are mutually exclusive if they cannot occur at the same time. Another word that means mutually exclusive is disjoint. If two events are disjoint, then the probability of them both occurring at the same time is 0. Independent Events.

Are all dependent events mutually exclusive?

As a matter of fact, mutually exclusive events are dependent events. Consider tossing a coin, the results are mutually exclusive. Because we cannot get the heads and tails in a single toss. At the same time, the occurrence of one preventing another one from happening.

Can two independent events with nonzero probabilities be mutually exclusive?

Two independent events having nonzero probabilities of occurrence can not be mutually exclusive. Two independent events having nonzero probabilities of occurrence can not be mutually exclusive.