What is the meaning of mutually exclusive events?
In logic and probability theory, two events (or propositions) are mutually exclusive or disjoint if they cannot both occur at the same time. A clear example is the set of outcomes of a single coin toss, which can result in either heads or tails, but not both.
How do you know if events are mutually exclusive?
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.
What are some examples of mutually exclusive events?
Examples: Turning left and turning right are Mutually Exclusive (you can’t do both at the same time) Tossing a coin: Heads and Tails are Mutually Exclusive. Cards: Kings and Aces are Mutually Exclusive.
Can independent events be mutually exclusive?
If at least one of the events has zero probability, then the two events can be mutually exclusive and indepenent simultaneously. Let A be the empty set, for example, and let B be any event. … However, if both events have non-zero probability, then they cannot be mutually exclusive and independent simultaneously.
How do you use mutually exclusive in a sentence?
Mutually exclusive in a Sentence
- There are two mutually exclusive ways to drive to California, but you can’t take both routes. …
- Because they aren’t mutually exclusive positions, the writer can pursue her passion and teach at the same time.
What is another word for mutually exclusive?
What is another word for mutually exclusive?incompatibleconflictingincongruousinconsistentclashingdiscordantdiscrepantdisagreeinginconsonantinharmonious
What is not mutually exclusive event?
Definition of Mutually Non-Exclusive Events: Two events A and B are said to be mutually non exclusive events if both the events A and B have atleast one common outcome between them. … The event of getting an ‘odd-face’ and the event of getting ‘less than 4’ occur when we get either 1 or 3.
What is an example of an independent event?
Definition: Two events, A and B, are independent if the fact that A occurs does not affect the probability of B occurring. Some other examples of independent events are: Landing on heads after tossing a coin AND rolling a 5 on a single 6-sided die. Choosing a marble from a jar AND landing on heads after tossing a coin.
What does it mean to say something is not mutually exclusive?
If two events are mutually exclusive, it means that they cannot occur at the same time. … Rain and sunshine are not mutually exclusive (that is, they can occur together), as shown by this image of a sunshower. Photo by Wikimedia Commons.
Are A and B mutually exclusive events?
Two events are mutually exclusive or disjoint if they cannot occur at the same time. … If Events A and B are mutually exclusive, P(A ∩ B) = 0. The probability that Events A or B occur is the probability of the union of A and B.
What is the difference between mutually exclusive event and independent event?
Mutually exclusive events are those that cannot happen simultaneously, whereas independent events are those whose probabilities do not affect one another.
Can two events be dependent and not mutually exclusive?
No. You can have dependent events that are not mutually exclusive. Consider the events: A: The radio traffic report says that traffic is “heavy”.