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No, if two events are mutually exclusive, they cannot both occur. If one occurs, it means the second can not occur.

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Q: If two events are mutually exclusive then they must be dependent?
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Continue Learning about Statistics

Is it true the special rule of addition is the events must be mutually exclusive?

yes


What important question must you answer before computing an or probability?

You need to know whether or not the events are mutually exclusive.


Which one is more convienent mutually exclusive or non mutually?

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


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.


A six sided die is rolled twice what is the probability of rolling either an even number on the first roll or a 1 on the second roll the answer is 7 over 12 but I can't figure out how to get there?

The question asks "What is the probability of rolling either an even number on the first roll or a 1 on the second roll?" These events are independent from each other as the outcome of the second roll is not affected by the outcome of the first roll. However, these events are non-mutually exclusive, meaning that these events can both occur at the same time.The probability of rolling an even number on the first roll is 3/6 because 2, 4, and 6 are even numbers and a six-sided die has six possible numbers.The probability of rolling a 1 on the second roll is 1/6.If these two probabilities are added together, we will have "double counted" the event where an even number is rolled on the first roll and a 1 is rolled on the second roll. To correct for this, we must subtract the probability of both events occurring.The probability that both events occur is 3/36, because 3/6 * 1/6 = 3/36.Now, the probability of rolling either an even number on the first roll or a 1 on the second roll is:3/6 + 1/6 - 3/36= 18/36 + 6/36 - 3/36= 21/36= 7/12

Related questions

Is it true the special rule of addition is the events must be mutually exclusive?

yes


What important question must you answer before computing an or probability?

You need to know whether or not the events are mutually exclusive.


Which one is more convienent mutually exclusive or non mutually?

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


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 does the expression mutually exclusive mean?

Mutually exclusive means if one thing is true the other must be false and vice versa.If A is true, B is false. If B is true, A is false.For instance,The ball was totally red.The ball was totally blue.These are mutually exclusive because the ball can only be one or the other.The ball was red.The ball was blue.These are NOT mutually exclusive because the ball could also be red AND blue.


What are the characteristics of partition in technical writing?

1. the divisions must be coordinate 2.the divisions must be mutually exclusive 3. the divisions must not overlap 4. the divisions must be complete


What is the difference between mutually exclusive and exhaustive events?

Each is quite a different property of a set of sets. With mutual exclusivity, there is no member is one set that is also in the other set. For more than two sets, there is no member found twice amongst all of them. For exhaustivity, we must imagine another set. A universal set, whether it be our universe of discourse, or just a really big set. Several sets can be said to be exhaustive if, unioned together, they equal the universal set. sets can be exhaustive without being exclusive, and exclusive without being exhaustive. When imagining events, think of them as things that can be stored in sets. The universal set would be the set of all possible events.


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.


Are some rectangles also trapezoids?

True. All rectangles are trapezoids. (In England a trapezoid is known as a trapezium.)


Can an SD card reader read an SDHC card?

The two are not mutually exclusive. However, the card reader must have the firmware necessary to read an SDHC card. If the device is more than a couple years old, there probably aren't any updates available to add this functionality.


What the mean of unliquidated?

1.The possibility of an obligation to pay certain sums dependent on future events. 2.defined obligation by a company that must be met,but the probability of payments is minimal.


What does the term mutually exclusive investments mean?

Mutually exclusive investments refer to two or more investment options where choosing one investment option means rejecting all the other investment options. In other words, these investment options cannot be undertaken simultaneously due to limited resources or other constraints. For example, if an investor has to choose between investing in a new project or expanding an existing project, these investments are mutually exclusive. The choice of one investment option means that the investor must give up the opportunity to invest in the other. The decision to choose one investment option over the other should be based on the expected return, risk, and other relevant factors. By : 1solutions.biz