Can an event be both mutually exclusive and independent?

Can an event be both mutually exclusive and independent?

Originally Answered: Can 2 events be mutually exclusive and independent? Not unless one of them has probability zero. Therefore P(A) = 0 or P(B) = 0. If at least one of the events has zero probability, then the two events can be mutually exclusive and indepenent 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.

Does mutually independent mean mutually exclusive?

The difference between mutually exclusive and independent events is: a mutually exclusive event can simply be defined as a situation when two events cannot occur at same time whereas independent event occurs when one event remains unaffected by the occurrence of the other event.

Does disjoint mean mutually exclusive?

Events are considered disjoint if they never occur at the same time; these are also known as mutually exclusive events. Events are considered independent if they are unrelated.

Can disjoint events be independent explain?

CONCLUSION: CONCLUSION: The occurrence of an event that is disjoint from some other event actually tells you something about the probability of occurrence of the other; hence disjoint events hence disjoint events cannot be independent cannot be independent: P{A}P{B} = P{AB}: independence; whereas P{AB} = 0: disjoint…

Does disjoint mean independent?

Are dependent events always disjoint?

Hence, only dependent events can be disjoint. Hence, all disjoint events are dependent.

Are disjoint events mutually exclusive?

Disjoint events are events that never occur at the same time. These are also known as mutually exclusive events. These two events never occur together, so they are disjoint events.

Is disjoint same as dependent?

Hence, independent events cannot be disjoint. Hence, only dependent events can be disjoint. Hence, all disjoint events are dependent.

What are some examples of disjoint events?

Examples of Disjoint Events A football game can’t be held at the same time as a rugby game on the same field. Heading East and West at the same time is impossible. Tossing a coin and getting a heads and a tails at the same time is impossible. You can’t take the bus and the car to work at the same time. You can’t get a pay raise and a pay decrease at the same time.

What does ‘mutually exclusive’ mean?

Essential Meaning of mutually exclusive : related in such a way that each thing makes the other thing impossible : not able to be true at the same time or to exist together War and peace are mutually exclusive. [=war and peace cannot exist at the same time] mutually exclusive events Full Definition of mutually exclusive

Are dependent events always mutually exclusive?

Mutually Exclusive Dependent. Dependent events are the events in which the result of one event does have an effect on the outcome of another event. We can say that mutually exclusive events are dependent always. Example on Mutually Exclusive Dependent.

Is a mutually exclusive event also an idependent event?

Mutually exclusive events are those events when their occurrence is not simultaneous . When the occurrence of one event cannot control the occurrence of other, such events are called independent event. In mutually exclusive events, the occurrence of one event will result in the non-occurrence of the other.