mutually exclusive events

简明释义

互斥事件

英英释义

例句

1.In a survey, answering 'yes' or 'no' to a question are mutually exclusive events.

在调查中，对一个问题回答“是”或“否”是互斥事件。

2.In a game of dice, rolling a 3 and rolling a 5 are mutually exclusive events because both cannot happen at the same time.

在掷骰子的游戏中，掷出3和掷出5是互斥事件，因为这两者不能同时发生。

3.In a basketball game, scoring a two-pointer and a three-pointer on the same shot are mutually exclusive events.

在篮球比赛中，投篮得两分和三分是互斥事件。

4.When flipping a coin, getting heads and getting tails are mutually exclusive events.

抛硬币时，得到正面和得到反面是互斥事件。

5.Choosing a red or a blue shirt from your wardrobe represents mutually exclusive events.

从衣柜中选择红色或蓝色衬衫代表了互斥事件。

作文

In the realm of probability and statistics, understanding the concept of mutually exclusive events is crucial. These events are defined as two or more events that cannot occur at the same time. For instance, when flipping a coin, the outcomes 'heads' and 'tails' are mutually exclusive events; if the coin lands on heads, it cannot simultaneously land on tails. This fundamental principle has wide-ranging applications in various fields, including finance, science, and everyday decision-making.To illustrate the importance of mutually exclusive events, consider a simple experiment involving a six-sided die. When rolling the die, the results can be any one of the numbers from one to six. If we define two events: A (rolling an even number) and B (rolling a number greater than four), we can see that these two events are not mutually exclusive events. In fact, they can occur simultaneously if the outcome is six. However, if we redefine event A as rolling a three, then events A and B become mutually exclusive events because it is impossible to roll a three and a number greater than four at the same time.Understanding mutually exclusive events also aids in calculating probabilities. When dealing with mutually exclusive events, the probability of either event occurring is simply the sum of their individual probabilities. For example, if the probability of event A occurring is 0.3 and the probability of event B occurring is 0.5, then the probability of either A or B occurring is 0.3 + 0.5 = 0.8. This simplification makes it easier for analysts and researchers to make predictions based on statistical models.In real life, we encounter mutually exclusive events frequently. Consider the decision-making process when choosing a career path. If an individual is deciding between becoming a doctor or an engineer, these two career choices represent mutually exclusive events. One cannot be both a doctor and an engineer at the same time; thus, the choice made eliminates the possibility of the other. This concept extends beyond career choices to various aspects of life, such as selecting a restaurant for dinner or deciding on a vacation destination. Each decision excludes others, highlighting the significance of understanding mutually exclusive events in our daily lives.Moreover, the understanding of mutually exclusive events plays a pivotal role in risk assessment and management. Businesses often face decisions that involve potential risks, where certain outcomes cannot happen simultaneously. For example, a company may launch a new product, but the success of this product might exclude the possibility of launching another product simultaneously due to resource constraints. By recognizing the mutually exclusive events involved in their strategies, companies can better allocate resources and minimize risks.In conclusion, the concept of mutually exclusive events is not only a foundational element of probability theory but also a practical tool in decision-making processes across various domains. Understanding how these events work enables individuals and organizations to make informed choices, assess risks effectively, and predict outcomes with greater accuracy. As we navigate through life's myriad choices, recognizing mutually exclusive events can lead us to clearer paths and more successful outcomes.

在概率和统计的领域中，理解“互斥事件”的概念至关重要。这些事件被定义为两个或多个事件不能同时发生。例如，当掷硬币时，结果“正面”和“反面”是互斥事件；如果硬币落在正面上，它就不可能同时落在反面上。这个基本原理在金融、科学以及日常决策等各个领域都有广泛的应用。为了说明互斥事件的重要性，考虑一个简单的实验，涉及一个六面骰子。当掷骰子时，结果可以是从一到六中的任何一个数字。如果我们定义两个事件：A（掷出偶数）和B（掷出大于四的数字），我们可以看到这两个事件并不是互斥事件。实际上，如果结果是六，这两件事可以同时发生。然而，如果我们将事件A重新定义为掷出三，那么事件A和B就变成了互斥事件，因为不可能同时掷出三和一个大于四的数字。理解互斥事件也有助于计算概率。在处理互斥事件时，任一事件发生的概率只是它们各自概率的总和。例如，如果事件A发生的概率是0.3，事件B发生的概率是0.5，那么事件A或B发生的概率就是0.3 + 0.5 = 0.8。这种简化使得分析师和研究人员更容易根据统计模型进行预测。在现实生活中，我们经常遇到互斥事件。考虑选择职业道路时的决策过程。如果一个人正在考虑成为医生或工程师，这两个职业选择就代表了互斥事件。一个人不可能同时成为医生和工程师；因此，所做的选择排除了另一种可能性。这个概念不仅限于职业选择，还扩展到生活的各个方面，例如选择晚餐的餐厅或决定度假目的地。每个决定都排除了其他选择，强调了理解互斥事件在我们日常生活中的重要性。此外，理解互斥事件在风险评估和管理中也起着关键作用。企业经常面临涉及潜在风险的决策，其中某些结果无法同时发生。例如，一家公司可能会推出一款新产品，但该产品的成功可能会由于资源限制而排除同时推出另一款产品的可能性。通过识别其战略中涉及的互斥事件，公司可以更好地分配资源并最小化风险。总之，互斥事件的概念不仅是概率理论的基础元素，也是各个领域决策过程中的实用工具。理解这些事件如何运作使个人和组织能够做出明智的选择，有效评估风险，并更准确地预测结果。当我们在生活的众多选择中航行时，认识到互斥事件可以引导我们走向更清晰的道路和更成功的结果。