equal probability

简明释义

等概率

英英释义

例句

1.In a fair coin toss, each side has an equal probability of landing face up.

在一次公正的抛硬币中，每一面都有相等的概率朝上。

2.In a game of chance, players often assume that each outcome has an equal probability of occurring.

在一个机会游戏中，玩家通常假设每个结果都有相等的概率发生。

3.In a lottery where all tickets have the same price, each ticket has an equal probability of winning.

在所有彩票票价相同的情况下，每张票都有相等的概率获胜。

4.If you randomly select a card from a well-shuffled deck, each card has an equal probability of being chosen.

如果你从一副洗好的牌中随机抽取一张，每张牌都有相等的概率被选中。

5.When rolling a standard die, each number has an equal probability of being rolled.

掷一个标准骰子时，每个数字都有相等的概率出现。

作文

In the realm of statistics and probability, the concept of equal probability plays a crucial role in understanding how outcomes are determined in various scenarios. When we say that two or more events have equal probability, we mean that each event has the same chance of occurring. This idea can be applied to numerous fields, such as games of chance, decision-making processes, and even in predicting future events based on past data.For instance, consider a simple game involving a fair six-sided die. Each side of the die has an equal chance of landing face up when rolled. In this case, we can say that the probability of rolling any specific number, such as a three, is 1 out of 6, or approximately 16.67%. This scenario illustrates the principle of equal probability, as each number from one to six has the same likelihood of being rolled.Furthermore, the concept of equal probability extends beyond just games. In decision-making, when individuals face multiple options, they often assume that each option has an equal chance of being chosen if no biases affect their choices. For example, if someone is deciding between three different restaurants for dinner, and they have no preference, they might assume that each restaurant has a equal probability of being selected. This assumption helps simplify the decision-making process, allowing individuals to weigh their options without overcomplicating matters.In the context of experiments and research, the principle of equal probability is fundamental in ensuring that samples are representative of the population being studied. When conducting a survey, researchers aim to select participants randomly so that every individual has an equal probability of being chosen. This random selection minimizes bias and enhances the reliability of the results, enabling researchers to draw valid conclusions about the entire population based on the sample.Moreover, understanding equal probability is essential in the field of economics, particularly in game theory. In strategic interactions, players often assume that their opponents will act rationally and that all strategies have an equal probability of success unless proven otherwise. This assumption allows economists to model complex situations where multiple agents interact, making predictions about behavior and outcomes more manageable.However, it is important to note that not all scenarios adhere to the principle of equal probability. In real life, many factors can influence the likelihood of certain events occurring, leading to unequal probabilities. For instance, in a lottery, the chances of winning are not equal for every ticket sold; thus, understanding the underlying probabilities becomes crucial for participants.In conclusion, the concept of equal probability serves as a foundational element in various disciplines, from statistics and decision-making to economics and research. Recognizing when events have equal probability helps individuals make informed decisions, understand random processes, and analyze data effectively. As we navigate through life, acknowledging the role of equal probability can enhance our understanding of chance and uncertainty, empowering us to approach problems with a clearer perspective.

在统计学和概率论的领域中，equal probability（等概率）的概念对理解各种场景中结果的确定起着至关重要的作用。当我们说两个或多个事件具有equal probability时，我们的意思是每个事件发生的机会是相同的。这个概念可以应用于许多领域，例如机会游戏、决策过程，甚至基于过去数据预测未来事件。例如，考虑一个涉及公平六面骰子的简单游戏。骰子的每一面在掷出时都有相同的机会朝上。在这种情况下，我们可以说掷出任何特定数字（例如三）的概率是1/6，约为16.67%。这个场景说明了equal probability的原则，因为从一到六的每个数字都有相同的被掷出的可能性。此外，equal probability的概念不仅限于游戏。在决策中，当个人面临多个选项时，他们通常会假设每个选项都有相同的被选择的机会，如果没有偏见影响他们的选择。例如，如果某人正在决定晚餐去哪家餐厅，而他们没有偏好，他们可能会假设每家餐厅都有equal probability被选中。这种假设有助于简化决策过程，使个人能够在不复杂化问题的情况下权衡他们的选择。在实验和研究的背景下，equal probability原则在确保样本代表所研究的人群方面是基础性的。当进行调查时，研究人员旨在随机选择参与者，以便每个人都有equal probability被选中。这种随机选择最小化了偏见，并增强了结果的可靠性，使研究人员能够根据样本得出关于整个群体的有效结论。此外，理解equal probability在经济学领域，特别是在博弈论中也至关重要。在战略互动中，玩家通常假设他们的对手将理性行事，并且所有策略都有equal probability成功，除非另有证明。这种假设使经济学家能够建模多个代理人互动的复杂情况，从而使行为和结果的预测更加可管理。然而，重要的是要注意，并非所有场景都遵循equal probability原则。在现实生活中，许多因素可以影响某些事件发生的可能性，导致不等概率。例如，在彩票中，每张售出的票的中奖机会并不相等；因此，理解潜在的概率对参与者来说变得至关重要。总之，equal probability的概念作为各个学科的基础元素，从统计学和决策制定到经济学和研究。认识到事件何时具有equal probability有助于个人做出明智的决策，理解随机过程，并有效分析数据。当我们在生活中前行时，承认equal probability的作用可以增强我们对机会和不确定性的理解，赋予我们以更清晰的视角来处理问题。