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No, two events cannot be mutually exclusive and independent simultaneously. Mutually exclusive events cannot occur at the same time, meaning the occurrence of one event excludes the possibility of the other. In contrast, independent events are defined such that the occurrence of one event does not affect the probability of the other occurring. Therefore, if two events are mutually exclusive, the occurrence of one event implies that the other cannot occur, which contradicts the definition of independence.
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Are Two events mutually exclusive if they have no outcomes in common.?
Yes, two events are mutually exclusive if they have no outcomes in common. This means that the occurrence of one event precludes the occurrence of the other. For example, when flipping a coin, the events of getting heads and tails are mutually exclusive, as you cannot get both outcomes simultaneously.
The events in an experiment are mutually exclusive if only one can occur at a time true or false?
provide one business-related example each, with explanation, for mutually exclusive and independent events
What does 'not mutually exclusive of one another' mean?
If two events ARE mutually exclusive, then it means that they can not both happen simultaneously. For example, if we flip a coin, it can only be heads or tails, not both. an example of not mutually exclusive events are strong winds and rain. it could be strong wind, or rain, or both.
Are rolling a sum of 6 and rolling doubles mutually exclusive events?
No, rolling a sum of 6 and rolling doubles are not mutually exclusive events. It is possible to roll doubles (specifically a pair of 3s) that also results in a sum of 6. Therefore, these two events can occur simultaneously.
What is a true statement about mutually exclusive events?
Mutually exclusive events are events that cannot occur at the same time; the occurrence of one event precludes the occurrence of the other. For example, when flipping a coin, the outcomes of heads and tails are mutually exclusive because you cannot get both results in a single flip. In probability terms, the probability of both events occurring simultaneously is zero. If events A and B are mutually exclusive, then the probability of either A or B occurring is the sum of their individual probabilities: P(A or B) = P(A) + P(B).
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.
Can 2 events be both independent and mutually exclusive?
Yes.
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.
Are Two events mutually exclusive if they have no outcomes in common.?
Yes, two events are mutually exclusive if they have no outcomes in common. This means that the occurrence of one event precludes the occurrence of the other. For example, when flipping a coin, the events of getting heads and tails are mutually exclusive, as you cannot get both outcomes simultaneously.
The events in an experiment are mutually exclusive if only one can occur at a time true or false?
provide one business-related example each, with explanation, for mutually exclusive and independent events
What does 'not mutually exclusive of one another' mean?
If two events ARE mutually exclusive, then it means that they can not both happen simultaneously. For example, if we flip a coin, it can only be heads or tails, not both. an example of not mutually exclusive events are strong winds and rain. it could be strong wind, or rain, or both.
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 rolling a sum of 6 and rolling doubles mutually exclusive events?
No, rolling a sum of 6 and rolling doubles are not mutually exclusive events. It is possible to roll doubles (specifically a pair of 3s) that also results in a sum of 6. Therefore, these two events can occur simultaneously.
Are mutually exclusive events independent?
Not necessarily. In fact, in binary situations they can be totally dependent - depends on the experiment.
What is a true statement about mutually exclusive events?
Mutually exclusive events are events that cannot occur at the same time; the occurrence of one event precludes the occurrence of the other. For example, when flipping a coin, the outcomes of heads and tails are mutually exclusive because you cannot get both results in a single flip. In probability terms, the probability of both events occurring simultaneously is zero. If events A and B are mutually exclusive, then the probability of either A or B occurring is the sum of their individual probabilities: P(A or B) = P(A) + P(B).
What does mutally exclusive mean?
It means the two events cannot simultaneously occur; for example the two events, being dead and being alive are mutually exclusive, since they cannot occur at the same time.
