yes
You need to know whether or not the events are mutually exclusive.
It must be "mutually exclusive" since "non mutually" does not even mean anything!
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.
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
yes
You need to know whether or not the events are mutually exclusive.
It must be "mutually exclusive" since "non mutually" does not even mean anything!
Yes.
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.
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
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.
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.
True. All rectangles are trapezoids. (In England a trapezoid is known as a trapezium.)
The paired statements in a dichotomous key must be opposite in order to present two mutually exclusive choices that lead to the correct identification of an organism. This system helps users narrow down the possibilities at each step until reaching the correct classification.
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.
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.