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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.
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.
How can you find the probability of two mutually exclusive events?
The calculation is equal to the sum of their probabilities less the probability of both events occuring. If two events are mutually exclusive then the combined probability that one or the other will occur is simply the sum of their respective probabilities, because the chance of both occurring is by definition zero.
What important question must you answer before computing an or probability?
You need to know whether or not the events are mutually exclusive.
What is the addition rule of probability?
The addition rule of probability states that the probability that one or the other will happen is the probability of one plus the probability of the other. This rule only applies to mutually exclusive events. For example, the probability that a dice roll will be a 3 is 1/6. The probability that the dice roll will be even is 1/2. These are mutually exclusive events as the dice cannot be both 3 and even. Thus the probability of the dice roll coming up either a 3, or even, is 1/2 + 1/6 = 2/3.
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.
What is the probability a set of outcomes?
The probability depends on the nature of the outcomes in the set: whether or not they are mutually exclusive, independent.
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.
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.
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.
How can you find the probability of two mutually exclusive events?
The calculation is equal to the sum of their probabilities less the probability of both events occuring. If two events are mutually exclusive then the combined probability that one or the other will occur is simply the sum of their respective probabilities, because the chance of both occurring is by definition zero.
What important question must you answer before computing an or probability?
You need to know whether or not the events are mutually exclusive.
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.
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 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.
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...
Does or mean to add or mulitply?
In probability, the probability of the occurrence of event A or event B is the sum of their probabilities only if they are mutually exclusive; not otherwise. So, by itself, "or" does not mean anything.
