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If two events are mutually exclusive and collectively exhaustive what is the probability that one or the other occurs?
If A and B are mutually exclusive, P(A or B)=P(A) + P(B) They both cannot occur together. For example: A die is rolled. A = an odd number; B= number is divisible by 2. P(A or B) = 1/3 + 1/3 = 2/3
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.
Can a probability distribution be a mutually exclusive listing of the outcomes of an experiment which can occur by chance and the corresponding probabilities of occurrance?
Not quite. The listing must also be exhaustive: it must contain all possible outcomes.For the roll of a fair cubic die, consider the following:Prob(1) = 1/6Prob(2) = 1/6This is a mutually exclusive listing of the outcomes of the experiment and the corresponding probabilities of occurrence but it is not a probability distribution because it does not include all possible outcomes. As a result, the total of the listed probabilities is less than 1.
Can the sum of 2 probabilities be greater than 1?
Yes but it is not possible to attach any interpretation to that. The addition of probabilities makes sense only if they are mutually exclusive outcomes of the same trial. If they are, then their sum cannot be greater than 1.
Which one is more convienent mutually exclusive or non mutually?
It must be "mutually exclusive" since "non mutually" does not even mean anything!
What is the rule for stratified sampling?
Your groups should be mutually exclusive and collectively exhaustive.
When events are mutually exclusive and exhaustive then the sum of the individual probabilities of each event in the set must equal 1.00?
Yes.
What is the opposite of mutually exclusive?
The opposite of mutually exclusive is collectively exhaustive, meaning that the options or events being considered cover all possible outcomes without any overlap.
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.
Term for two mutually exclusive words like death and life?
Mutually exclusive. The two events can also be exhaustive if there is no other possibility. For example, if you believe in a state of spiritual limbo, then there is a third possible outcome. In that case death and life are no longer exhaustive.
If two events are mutually exclusive and collectively exhaustive what is the probability that one or the other occurs?
If A and B are mutually exclusive, P(A or B)=P(A) + P(B) They both cannot occur together. For example: A die is rolled. A = an odd number; B= number is divisible by 2. P(A or B) = 1/3 + 1/3 = 2/3
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.
What function do you use to calculate the probabilities of compound events?
To calculate the probabilities of compound events, you can use the multiplication rule or the addition rule, depending on whether the events are independent or mutually exclusive. The multiplication rule is used when the events are independent, and you multiply the probabilities of the individual events. The addition rule is used when the events are mutually exclusive, and you add the probabilities of the individual events.
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.
Can a probability distribution be a mutually exclusive listing of the outcomes of an experiment which can occur by chance and the corresponding probabilities of occurrance?
Not quite. The listing must also be exhaustive: it must contain all possible outcomes.For the roll of a fair cubic die, consider the following:Prob(1) = 1/6Prob(2) = 1/6This is a mutually exclusive listing of the outcomes of the experiment and the corresponding probabilities of occurrence but it is not a probability distribution because it does not include all possible outcomes. As a result, the total of the listed probabilities is less than 1.
Can the sum of 2 probabilities be greater than 1?
Yes but it is not possible to attach any interpretation to that. The addition of probabilities makes sense only if they are mutually exclusive outcomes of the same trial. If they are, then their sum cannot be greater than 1.
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.
