-
Anonymous users2024-02-06Opposing events. Refers to two mutually exclusive events in which one of them must occur.
This is the theory of probability.
The term, also known as "inverse events", cannot occur at the same time.
If A and B are impossible events and A and B are inevitable events, then event A and event B are opposites of each other, which means that event A and event B must have one and only one of them. That is, in each trial, one of the events A and B must occur, and only one of them occurs.
The relationship between the probabilities of opposing events: p(a) + p(b) = 1. For example, in the craps rolling test, a=,b=,a b is an impossible event and a b is a necessary event, so a and b are opposites of each other.
Mutual exclusion and opposites.
1. Different angles are targeted. The former is about whether it can occur at the same time, that is, two mutually exclusive events mean that they cannot occur at the same time; The latter is aimed at events that have no effect, i.e. two independent of each other.
Refers to the fact that the occurrence of one event has no effect on the probability of another event occurring (note: it is not that the occurrence of one event has no effect on the occurrence of another event).
2. The number of tests is different. The former is a different event that occurs under one trial, and the latter is a different event that occurs under two or more different trials.
3. The probability formula is different. If a and b are mutually exclusive events, then there is a probability addition formula p(a+b)=p(a)+p(b), and if a and b are not mutually exclusive events, then there is the formula p(a+b)=p(a)+p(b)-p(ab); If a and b are independent events, then there is a probability multiplication formula p(ab) = p(a)p(b).
-
Anonymous users2024-02-05If A and B are impossible events and A and B are inevitable events, then Event A and Event B are said to be opposites of each other.
In layman's terms, A and B cannot happen at the same time, but one of them will happen, and they are a life-and-death relationship.
Unlike mutex events, mutex events cannot occur at the same time, but it is possible that they do not occur at all.
-
Anonymous users2024-02-04Difference: Opposites must inevitably accept each other's thoughts, and mutual rejection is not necessarily opposite. The popular understanding of the opposing event: A does not happen, B definitely happens.
The popular understanding of mutually exclusive time: A and B cannot occur at the same time.
-
Anonymous users2024-02-03An opposing event is one of the two mutually exclusive events in which one of them must occur. This is a probabilistic term. Also known as "inverse events", it is impossible for them to happen at the same time.
If A and B are opposites, then A and B are mutually exclusive, and/or are inevitable, i.e., in an experiment, Event A and its opposing event B can only occur in one, and one must occur in a group, and it is impossible for neither to occur or both.
Let's take a look at the example questions.
Example 1(True/False).
1.In the same experiment, it is correct to assume that A and B are two random events, and that "if A and B are two opposing events". (×
Answer] Analysis] Obviously, this statement is false The opposing event is a special case of mutually exclusive events, and in addition to satisfying a b, a b must also be a necessary event.
For example, if you toss a coin, the result can be heads or tails, but the third outcome will not appear.
Focus: The relationship between opposing events and mutually exclusive events.
If event A and event B are opposites, then event A and event B must be mutually exclusive.
Conversely, if event A and event B are mutually exclusive events, then event A and event B are not necessarily opposites.
Example 1(True/False) Mutually exclusive events are not necessarily opposites. (
Answer] 1√。
Analysis] Opposing events are special mutually exclusive events.
-
Anonymous users2024-02-02Use <> to indicate the occurrence of no more than two of the three random events.
Analysis: no more than two occurrences, that is, including one occurrence and two occurrences; That is to say, it is an opposing event of three events at the same time.
The simultaneous occurrence of three events can be expressed as:
According to the formula for calculating the probability of opposing events: p(a)+p(b)=1. then the three events do not occur at the same time, that is, no more than two occurrences can be expressed as:
-
Anonymous users2024-02-01Difference: "Opposing events" and "mutually exclusive events" have an inclusive relationship, the number of events in "mutually exclusive events" can be two or more, while "opposing events" are only friendly for two events, and the opposition of two events is a sufficient condition for the mutual exclusion of these two events, but it is not a necessary condition.
An antagonistic event is a special kind of mutually exclusive event. There are two special points: first, the number of events is special (only two events); Second, the occurrence is special (there is only one occurrence).
If A and B are opposites, then A and B are mutually exclusive and A+B is a necessary event, so the probability of A+B occurring is 1, that is, P(A+B) = P(A) + P(B) = 1.
Opposites are necessarily mutually exclusive, and mutually exclusive are not necessarily opposites.
-
Anonymous users2024-01-31"At least one of the opposing events that occurred" is an event that does not occur at all in the ABC. An opposing event is two mutually exclusive events in which one of them must occur, which is a probabilistic term, also known as an "inverse event", which cannot occur at the same time.
If A and B are impossible events and A and B are inevitable events, then event A and event B are mutually opposed events, which means that event A and event B must have one and only one of them, and the connection between the mutually exclusive event and the opposing event is that the opposing event is a special kind of mutually exclusive event.
-
Anonymous users2024-01-30Two opposing events mean that only one of the two events occurs in each trial. For example, for a coin toss test, a="tails on top" and b="heads on top", it is clear that a and b are opposite events.
The exact mathematical description is: a, b are opposite events, p(ab)=0, p(a)+p(b)=1
The September 18 Incident refers to a military conflict and political incident that broke out in Northeast China on September 18, 1931, which was deliberately created by Japan in an attempt to invade China and occupy Chinese territory. According to the date of the outbreak of the conflict, history is known as the "September 18 Incident". Since the northeastern region of China was called Manchuria at that time, the Japanese side called this incident the "Manchurian Incident". >>>More
Normandy landings! This is the so-called second battlefield! At that time, Germany's SEAL program failed, that is to say, the British air war failed, and Germany implemented the Barbarossa plan to attack the Soviet Union, leading to multilateral operations! >>>More
"Incident" (also known as "911", "911 in the United States", etc.) refers to the historical event on September 11, 2001, when the hijacked plane hit the World Trade Center in New York and the Pentagon in Washington, D.C. On 11 September 2001, four civilian airliners flew over the United States, but they were silently hijacked by hijackers. When the Americans were just about to start their day's work, a series of plane collisions occurred at the World Trade Center in New York, and the skyscraper of the World Trade Center collapsed with a bang, turning into rubble, killing more than 3,000 people. >>>More
Because after passing this incident, Zhang Wuji knew his heart for these two people, and in order to live up to the two people, he also needed to show his attitude.
The book is already on the market, and it should only be sold. **Minimum. Buy a copy of the collection. The author and the will feel very much about you, so that they will be motivated to continue to write well and publish good books.