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Explain Mutually exclusive event

Updated: 9/15/2023
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10y ago

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cant happen at same time is mutually excusive 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

What is not Mutually Exclusive:

  • Turning left and scratching your head can happen at the same time
  • Kings and Hearts, because you can have a King of Hearts!
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Q: Explain Mutually exclusive event
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Is a mutually exclusive event also an idependent event?

Two events are mutually exclusive if they both cannot occur together. For example, if you toss a coin , let A represent a head showing up and B represent a tail showing up. These two events are mutually exclusive. You can only have a tail or head. To explain an independent event, pick a card from a deck of 52. The probability that it is a king is 4/52. If you put the card back and draw again, the probability is still 4/52. The second draw is independent of the first draw. If you draw another card without putting it back, its probability changes to 3/51. It becomes a dependent event. In short, a mutually exclusive event is not an independent event.


What does the term 'mutually exclusive' mean?

The term mutually exclusive refers to 2 or more events of incidents, in which the happening of one event precludes the happening of the other. Mutually exclusive can be applied less formally to the dating world, in which a couple who has been dating become more serious, and therefore mutually exclusive with one another.


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.


What are non mutually exclusive events?

Two events are non mutually exclusive events are those that have an overlap. That is, there is at least one outcome that is "favourable" to both events.For example if, for a roll of a die,event A: the outcome is evenevent B: the outcome is a primeThen the outcome 2 is favourable to both A and B and so A and B are not mutually exclusive.


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.


What are mutually exclusive events?

Mutually exclusive events are occurrences where, say, a couple of propositions are possible, but if one occurs, the other cannot. A coin toss might be a good example. A coin lands heads or it lands tails. It cannot land on both in the same toss. A coin toss, therefore, can be said to be a mutually exclusive event.


Are mutually exclusive events?

Mutually exclusive events are occurrences where, say, a couple of propositions are possible, but if one occurs, the other cannot. A coin toss might be a good example. A coin lands heads or it lands tails. It cannot land on both in the same toss. A coin toss, therefore, can be said to be a mutually exclusive event.


When two events are mutually exclusive?

Two mutually exclusive events, means these two event can not occur at the same time. In probability theory, this is stated as: Given events, A and B, then Pr(A and B) = 0. See related link...


What is the Formula for odds for either of two events?

If A and B are mutually exclusive event then Probability of A or B is P(A)+P(B). If they are not mutually exclusive then it is that minus the probability of the P(A)+P(B) That is to say P( A or B)= P(A)+P(B)- P(A and B). Of course it is clear that if they are mutually exclusive, P(A and B)=0 and we have the first formula.


When events are mutually exclusive and exhaustive then the sum of the individual probabilities of each event in the set must equal 1.00?

Yes.


How do you see that an event is either mutually exclusive dependent independent or not mutually exclusive?

It is easy. A single event cannot be any of the things mentioned in the question.It is easy. A single event cannot be any of the things mentioned in the question.It is easy. A single event cannot be any of the things mentioned in the question.It is easy. A single event cannot be any of the things mentioned in the question.


What describes a mutually event?

There is no such thing as a mutually event.