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What are events that cannot both occur in the same trail of an expierement?
Two events that cannot occur at the same time are called mutually exclusive. If two events are mutually exclusive what is the probability that both occur.
Can two mutually exclusive events occur at the same time?
No because the term mutually exclusive implies the the trials that could result in these events are sequenced in time.
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
Can two events be mutually exclusive and independent simultaneously?
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.
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 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.
If two events are mutually exclusive then they must be dependent?
No, if two events are mutually exclusive, they cannot both occur. If one occurs, it means the second can not occur.
What is True about mutually exclusive events?
At most one of the events can occur.
What are events that cannot both occur in the same trail of an expierement?
Two events that cannot occur at the same time are called mutually exclusive. If two events are mutually exclusive what is the probability that both occur.
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.
Can two mutually exclusive events occur at the same time?
No because the term mutually exclusive implies the the trials that could result in these events are sequenced in time.
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.
If two events cannot occur at the same time those events are considered to be?
Mutually exclusive.
If two events are mutually exclusive what is the probability that one or the other occurs?
Add the probabilities of the two events. If they're not mutually exclusive, then you need to subtract the probability that they both occur together.
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
Can two events be mutually exclusive and independent simultaneously?
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.
What are two events that cannot occur at the same time called?
Two events that cannot occur at the same time are called mutually exclusive.
