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Is it true the special rule of addition is the events must be mutually exclusive?
yes
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.
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.
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.
Is it true the special rule of addition is the events must be mutually exclusive?
yes
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 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.
What is potentially inclusive events?
It is the opposite of mutually exclusive. Potentially inclusive are events that can happen at the same time, as mutually exclusive events can't.
Is a true statement about mutually exclusive events?
Yes, a true statement about mutually exclusive events is that if one event occurs, the other cannot occur at the same time. For example, when rolling a single die, the outcomes of rolling a 3 and rolling a 5 are mutually exclusive, as both cannot happen simultaneously in one roll. This characteristic means that the probability of both events happening together is zero.
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).
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.
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.
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.
Are dependent events always mutually exclusive?
Yes.
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.
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.
