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Q: When events are mutually exclusive and exhaustive then the sum of the individual probabilities of each event in the set must equal 1.00?
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If a set of events are collectively exhaustive and mutually exclusive what does the sum of the probabilities equal?

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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.


What is the rule for stratified sampling?

Your groups should be mutually exclusive and collectively exhaustive.


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.


What is addition and multiplication theorems on probability with examples?

When considering the probability of two different events or outcomes, it is essential to clarify whether they are mutually exclusive or independent. If the events are mutually exclusive, then the probability that either one or the other will occur equals the sum of their individual probabilities. This is known as the law of addition. If, however, two or more events or outcomes are independent, then the probability that both the first and the second will occur equals the product of their individual probabilities. This is known as the law of multiplication.


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.


Which one is more convienent mutually exclusive or non mutually?

It must be "mutually exclusive" since "non mutually" does not even mean anything!


What are mutually exclusive projects?

Mutually exclusive projects means that the acceptance of one project eliminates the others fromconsideration. Projects are said to be mutually exclusive when tehy cannot be undertaken simultaneously.