finite probability

简明释义

有限概率

英英释义

例句

1.In a lottery, each ticket has a finite probability 有限概率 of winning the jackpot.

在彩票中，每张票有一个有限概率 finite probability 中得头奖。

2.In statistics, we often deal with finite probability 有限概率 distributions to model real-world phenomena.

在统计学中，我们经常处理有限概率 finite probability 分布来模拟现实世界现象。

3.The finite probability 有限概率 of rain tomorrow can be determined by weather forecasts.

明天下雨的有限概率 finite probability 可以通过天气预报来确定。

4.When drawing a card from a standard deck, the chance of picking an Ace is a finite probability 有限概率.

从标准扑克牌中抽一张牌，抽到一张Ace的几率是一个有限概率 finite probability。

5.In a fair six-sided die, each side has a finite probability 有限概率 of landing face up.

在一个公平的六面骰子中，每一面都有一个有限概率 finite probability 落在上面。

作文

In the realm of mathematics and statistics, the concept of finite probability plays a crucial role in understanding events and outcomes. 有限概率 refers to the probability of events occurring within a finite sample space, meaning that there is a limited number of possible outcomes. This is particularly important in fields such as gambling, insurance, and various scientific studies where outcomes can be clearly defined and counted.To illustrate the idea of finite probability, consider a simple example of rolling a six-sided die. The sample space for this experiment consists of six outcomes: 1, 2, 3, 4, 5, and 6. Each outcome has an equal chance of occurring, which means that the probability of rolling any specific number is 1 out of 6, or approximately 0.1667. In this case, we can say that each outcome has a finite probability because it is one of a limited set of possibilities.Understanding finite probability is essential when making predictions based on data. For instance, if a researcher is studying the effectiveness of a new medication, they might conduct a clinical trial with a finite number of participants. The results of this trial will yield a finite number of outcomes, such as improvement, no change, or adverse effects. By analyzing these outcomes, researchers can calculate the finite probability of each result occurring, which helps them draw conclusions about the medication's efficacy.Moreover, finite probability is fundamental in decision-making processes across various industries. Businesses often rely on probability assessments to evaluate risks and make informed choices. For example, an insurance company may use finite probability models to determine the likelihood of claims being filed based on historical data. By understanding the finite probability of certain events, they can set premiums that reflect the risk associated with insuring individuals or properties.Another important aspect of finite probability is its application in games of chance. In casinos, games like blackjack, roulette, and poker are designed around the principles of probability. Players must understand the finite probability of different hands or outcomes to make strategic decisions. For instance, in poker, knowing the odds of drawing a particular card can significantly influence a player's betting strategy.In conclusion, the concept of finite probability is vital for analyzing situations with a limited set of outcomes. Whether in scientific research, business decision-making, or games of chance, understanding how to calculate and interpret finite probability allows individuals and organizations to make better-informed choices. As we navigate through various aspects of life, the principles of finite probability provide a framework for understanding uncertainty and making predictions based on limited information.

在数学和统计学领域，有限概率的概念在理解事件和结果方面发挥着至关重要的作用。有限概率指的是在有限样本空间内发生事件的概率，这意味着可能的结果数量是有限的。这在赌博、保险和各种科学研究等领域尤为重要，因为这些领域的结果可以明确界定和计数。为了说明有限概率的概念，可以考虑一个简单的例子：掷一个六面骰子。这个实验的样本空间由六个结果组成：1、2、3、4、5和6。每个结果都有相等的发生机会，这意味着掷出任何特定数字的概率是1/6，约为0.1667。在这种情况下，我们可以说每个结果都有有限概率，因为它是有限可能性集合中的一个。理解有限概率在基于数据进行预测时是至关重要的。例如，如果研究人员正在研究一种新药的有效性，他们可能会进行临床试验，参与者的数量是有限的。这个试验的结果将产生有限数量的结果，例如改善、无变化或不良反应。通过分析这些结果，研究人员可以计算每种结果发生的有限概率，这帮助他们得出药物有效性的结论。此外，有限概率在各行各业的决策过程中是基础。企业通常依赖概率评估来评估风险并做出明智的选择。例如，保险公司可能使用有限概率模型来确定根据历史数据提交索赔的可能性。通过了解某些事件的有限概率，他们可以设定反映与承保个人或财产相关风险的保费。有限概率的另一个重要方面是其在机会游戏中的应用。在赌场中，像二十一点、轮盘和扑克这样的游戏是围绕概率原则设计的。玩家必须理解不同手牌或结果的有限概率以做出战略决策。例如，在扑克中，知道抽到特定牌的几率可以显著影响玩家的下注策略。总之，有限概率的概念对于分析具有有限结果集的情况至关重要。无论是在科学研究、商业决策还是机会游戏中，理解如何计算和解释有限概率使个人和组织能够做出更明智的选择。在我们生活的各个方面，有限概率的原则为理解不确定性和基于有限信息进行预测提供了框架。