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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.
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.
What is potentially inclusive?
Potentially inclusive events are events that can happen simultaneously. For example, events A and B can occur at the same time. When these events do cannot occur simultaneously, then then are called Mutually exclusive (opposite). Potentially Inclusive: If A is heads of Coin 1 and B is heads of Coin 2, then tossing of both the coins is potentially inclusive since you can get heads on both the coins same time. Mutually exclusive: If A is heads and B is tails , then tossing of a coin is mutually exclusive since you cannot get heads and tails at the same time. You either get heads or tails.
Two events are mutually exclusive if the occurrence of one depends on the occurrence of the other?
That depends on your definition of "depends." Mutually exclusive events are events that cannot occur at the same time. If you knew that Independent events most certainly can happen at the same time, you could easily deduce that mutually exclusive events are always dependent events. And while it's true dependent events affect the outcome of one another, that's not so easy to see when your dealing with events that don't occur in succession.It can be said that if a mutually exclusive event occurs, the other events that are mutually exclusive in relation to it have not taken place, i.e. the complement of that event has not taken place. When you look at only two events that are mutually exclusive and jointly exhaustive (i.e. all the possible events) like flipping a coin once and getting either a head or a tails (where the probability of the coin landing on it's side is 0), you can say that one event, flipping a head, is dependent on the other event, flipping a tail, not happening. Therefore the events are mutually exclusive.Now imagine two events which are still mutually exclusive but not jointly exhaustive, e.g. rolling a 2 or a 3 with a six sided die. Lets assume the die is not weighted so the probability of each is 1/6. A roll of two does not only depend on not rolling a three. To roll a 2 means not rolling a 1,3,4,5 or 6. To say that rolling a 2 and rolling a 3 are mutually exclusive if the occurrence one depends on the occurrence of the other is ambiguous at best, if not wrong. Rolling a 2 and rolling a 3 are mutually exclusive only because its impossible for both to happen at the same time with one roll, or you can say that P(2and3)=0.It's fair to say that two events are mutually exclusive if the occurrence of one depends on the other not happening. But if you thought that two events are mutually exclusive because the occurrence of one relays on the occurrence of the other then you were wrong. That just describes dependent events in succession.If one event's occurence depends upon the occurence of another, and the events cannot occur with a certain outcome otherwise, they are said to be dependent events. Mutually exclusive events are events that cannot occur together, as the occurence of one prohibits the occurence of the other. An example of a mutually exclusive event is this: two dice are rolled; what is the possibility of rolling both a nine and a double? One cannot roll both a nine and a double simultaneously; therefore, the events are mutually exclusive because one outcome excludes the other. An example of a dependent event is this: Susan is baking cookies. She has enough batter for two dozen chocolate chip cookies and one dozen oatmeal cookies. Therefore, the ratio of chocolate chip to oatmeal is 1.5:1. If Susan's little brother eats half of the chocolate chip cookies, the ratio changes to become 1:1. The possibility of the ratio being 1:1 is dependent upon Susan's brother eating half of the chocolate chip cookies. Thus, it is a dependent event. If one event's occurence depends upon the occurence of another, and the events cannot occur with a certain outcome otherwise, they are said to be dependent events. Mutually exclusive events are events that cannotoccur together, as the occurence of one prohibits the occurence of the other. An example of a mutually exclusive event is this: two dice are rolled; what is the possibility of rolling both a nine and a double? One cannot roll both a nine and a double simultaneously; therefore, the events are mutually exclusive because one outcome excludes the other. An example of a dependent event is this: Susan is baking cookies. She has enough batter for two dozen chocolate chip cookies and one dozen oatmeal cookies. Therefore, the ratio of chocolate chip to oatmeal is 1.5:1. If Susan's little brother eats half of the chocolate chip cookies, the ratio changes to become 1:1. The possibility of the ratio being 1:1 is dependent upon Susan's brother eating half of the chocolate chip cookies. Thus, it is a dependent event. If one event's occurence depends upon the occurence of another, and the events cannot occur with a certain outcome otherwise, they are said to be dependent events. Mutually exclusive events are events that cannotoccur together, as the occurence of one prohibits the occurence of the other. An example of a mutually exclusive event is this: two dice are rolled; what is the possibility of rolling both a nine and a double? One cannot roll both a nine and a double simultaneously; therefore, the events are mutually exclusive because one outcome excludes the other. An example of a dependent event is this: Susan is baking cookies. She has enough batter for two dozen chocolate chip cookies and one dozen oatmeal cookies. Therefore, the ratio of chocolate chip to oatmeal is 1.5:1. If Susan's little brother eats half of the chocolate chip cookies, the ratio changes to become 1:1. The possibility of the ratio being 1:1 is dependent upon Susan's brother eating half of the chocolate chip cookies. Thus, it is a dependent event.Mutually exclusive events refers to the events that cannot occur at the same time.
Draw one ball colored red from a bag Draw one ball colored blue from the same bag Are these two mutually exclusive?
No. Drawing a red ball and then a blue ball from a bag are not mutually exclusive events, because the first event changes the probability of the second event, unless you return the first ball to the bag before drawing the second ball.
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 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.
If two events cannot occur at the same time those events are considered to be?
Mutually exclusive.
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.
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.
What is mutually exclusive in probability theory?
two events are mutually exclusive if they cannot occur at the same time. The classic example is a coin toss where you have either heads or tails, but there is NO WAY to have heads and tails at the same time. Heads and tails are mutually exclusive.
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 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.
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.
If two events are mutually exclusive what is the probability that both occur at the same time?
The probability is 0. Consider the event of tossing a coin . The possible events are occurrence of head and tail. they are mutually exclusive events. Hence the probability of getting both the head and tail in a single trial is 0.
What is potentially inclusive?
Potentially inclusive events are events that can happen simultaneously. For example, events A and B can occur at the same time. When these events do cannot occur simultaneously, then then are called Mutually exclusive (opposite). Potentially Inclusive: If A is heads of Coin 1 and B is heads of Coin 2, then tossing of both the coins is potentially inclusive since you can get heads on both the coins same time. Mutually exclusive: If A is heads and B is tails , then tossing of a coin is mutually exclusive since you cannot get heads and tails at the same time. You either get heads or tails.
What is principle of additivity?
The principle of additivity states that the probability of the union of two mutually exclusive events is equal to the sum of their individual probabilities. This means that when events are mutually exclusive (cannot both occur at the same time), their probabilities can be added together to find the probability of either event occurring.
