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Not necessarily. The probability of a complementary event with probability p is 1-p. Two mutually exclusive events, however, don't necessarily add up to a probability of 1.
For example, the probability of drawing a King from a standard deck of cards is 1 in 13, which the complementary probability of not drawing a King is 12 in 13.
The probability, however, of drawing a Heart is 1 in 4, while the probability of drawing a Club is also 1 in 4. That leaves Diamonds and Spades, which account for the remaining probability of 2 in 4.
What else can I help you with?
Are complementary events also mutually exclusive events?
Yes, they are. Mutually exclusive events cannot occur together. Complementary events cannot occur together either because an event and its complement are the negative of each other.
Is a mutually exclusive event also an idependent event?
Two events are mutually exclusive if they both cannot occur together. For example, if you toss a coin , let A represent a head showing up and B represent a tail showing up. These two events are mutually exclusive. You can only have a tail or head. To explain an independent event, pick a card from a deck of 52. The probability that it is a king is 4/52. If you put the card back and draw again, the probability is still 4/52. The second draw is independent of the first draw. If you draw another card without putting it back, its probability changes to 3/51. It becomes a dependent event. In short, a mutually exclusive event is not an independent event.
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.
When creating a histogram it's important to ensure that the classes of data satisfy which properties?
When creating a histogram, the classes of data should be mutually exclusive, meaning each data point must fall into one and only one class. Additionally, the classes should be exhaustive, covering the entire range of the data without gaps. The classes should also be of equal width to maintain consistency in representation, unless using variable-width bins to highlight specific data distributions. Finally, the number of classes should be appropriate to balance detail and clarity, avoiding overly cluttered or overly simplified representations.
What does equally unlikely mean in probability?
Two events are equally unlikely if the probability that they do not happen is the same for each event. And, since the probability of an event happening and not happening must add to 1, equally unlikely events are also equally likely,
Are complementary events also mutually exclusive events?
Yes, they are. Mutually exclusive events cannot occur together. Complementary events cannot occur together either because an event and its complement are the negative of each other.
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 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.
Is a mutually exclusive event also an idependent event?
Two events are mutually exclusive if they both cannot occur together. For example, if you toss a coin , let A represent a head showing up and B represent a tail showing up. These two events are mutually exclusive. You can only have a tail or head. To explain an independent event, pick a card from a deck of 52. The probability that it is a king is 4/52. If you put the card back and draw again, the probability is still 4/52. The second draw is independent of the first draw. If you draw another card without putting it back, its probability changes to 3/51. It becomes a dependent event. In short, a mutually exclusive event is not an independent event.
What are two subsets of real numbers that are mutually exclusive?
Take any set; this set and its complement are mutually exclusive. Here are some examples:Negative and non-negative (i.e., positive and zero) numbersRational and irrational numbersIntegers and non-integersAlgebraic and transcendental numbersYou can also take a set and its complement from a smaller universe; these would also be mutually exclusive. For example:Even and odd numbers (only includes integers)
Why do complementary events always have a probability of one?
If an event is absolutely certain to happen is then we say the probability of it happening is 1.Complementary events are such that one of the events musthappen. Therefore the probability of one of a set of complementary events occurring is 1.For instance : The probability that a fair coin when tossed will come down showing heads is 1/2, and that it will show tails is also 1/2.The two events are complementary so the probability that the coin toss will result in either a heads or a tails is 1.Similarly, the probability that a die when rolled will show a number 1, 2, 3, 4, 5 or 6 is 1 as all six events are complementary.
What do you value most chastity or bliss?
Bliss, definitely. Chastity just makes people grumpy.AnswerBoth. They are not mutually exclusive. There is also evidence that chastity can indeed lead to bliss.
Do Citizens who live in socialist countries are taxed at higher rates than citizens of capitalist countries?
Socialist countries are also capitalist countries. The two are not mutually exclusive.
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.
Is glass an element or a solid?
The two categories are not mutually exclusive. A glass is, by definition, an amorphous solid. It may or may not also be an element, depending on exactly what it's made of. Ordinary window or drinking-type glass is not an element but a compound.
What types of jobs are available in the events management industry?
There are a wide variety of jobs available in the events management industry that are not exclusive to organizing events. The sub-categories of events management include marketing, finance and product management. Plus, there are also different types of events from conference and banquet to funeral director.
What is the probability of drawing 2 cards that are a 2 from a deck of 52 when first card is an ace and 2nd non ace?
The probability of drawing two cards that are a 2 when the first card is an Ace is zero, because a two is not an Ace. They are mutually exclusive events. If this is not clear, consider the probability of rolling a seven on one roll of one six sided die. That probability is also zero - it will not happen.
