sample space

简明释义

取样空间

英英释义

例句

1.For a spinner divided into four equal sections, the sample space 样本空间 is the four sections.

对于一个分成四个相等部分的转盘，样本空间 样本空间 是这四个部分。

2.In a deck of cards, the sample space 样本空间 contains all 52 cards.

在一副扑克牌中，样本空间 样本空间 包含所有52张牌。

3.When selecting a color from a set of crayons, the sample space 样本空间 includes all available colors.

当从一组蜡笔中选择颜色时，样本空间 样本空间 包括所有可用的颜色。

4.When flipping a coin, the sample space 样本空间 includes heads and tails.

当抛硬币时，样本空间 样本空间 包括正面和反面。

5.In a dice game, the sample space 样本空间 consists of the numbers 1 through 6.

在掷骰子的游戏中，样本空间 样本空间 包含数字1到6。

作文

In the world of probability and statistics, understanding the concept of sample space is crucial for analyzing random events. The sample space refers to the set of all possible outcomes of a particular experiment or random trial. For instance, if we were to flip a coin, the sample space would consist of two outcomes: heads and tails. This simple example illustrates how the sample space serves as a foundational element in probability theory. When conducting experiments, identifying the sample space allows researchers to calculate probabilities accurately. For example, consider rolling a six-sided die. The sample space in this case includes the numbers 1 through 6. Each number represents a potential outcome, and knowing the sample space enables us to determine the likelihood of rolling a specific number. If we want to find the probability of rolling an even number, we can easily identify that the relevant outcomes from the sample space are 2, 4, and 6, allowing us to calculate the probability as the ratio of favorable outcomes to total outcomes.Moreover, the concept of sample space extends beyond simple experiments. In more complex scenarios, such as drawing cards from a deck, the sample space encompasses all possible combinations of cards that can be drawn. For example, if we draw two cards from a standard deck of 52 cards, the sample space consists of all possible pairs of cards that can be selected. Understanding this larger sample space is essential for calculating probabilities related to card games and other similar activities.In real-world applications, the sample space can also play a significant role in decision-making processes. Businesses often rely on statistical analysis to make informed decisions. By defining the sample space for various market scenarios, companies can assess risks and opportunities effectively. For instance, when launching a new product, a company might analyze the sample space of customer preferences, which includes all possible reactions from their target audience. This analysis helps businesses tailor their marketing strategies to maximize success.Furthermore, understanding the sample space is not only important in theoretical contexts but also in practical situations. For instance, in sports analytics, teams analyze player performance by considering the sample space of all possible plays during a game. By examining this sample space, coaches can develop strategies that enhance their team's chances of winning.In conclusion, the concept of sample space is fundamental to the study of probability and statistics. It provides a framework for understanding random events and calculating probabilities. Whether in simple experiments like flipping a coin or in complex scenarios like business decision-making, recognizing the sample space allows individuals to make informed choices based on data. As we continue to explore the vast applications of statistics, mastering the idea of sample space will undoubtedly enhance our analytical skills and improve our understanding of the world around us.

在概率和统计的世界中，理解样本空间的概念对于分析随机事件至关重要。样本空间指的是特定实验或随机试验的所有可能结果的集合。例如，如果我们掷硬币，则样本空间将包括两个结果：正面和反面。这个简单的例子说明了样本空间如何作为概率理论的基础元素。在进行实验时，识别样本空间使研究人员能够准确计算概率。例如，考虑掷一个六面骰子的情况。在这种情况下，样本空间包括数字1到6。每个数字代表一个潜在结果，而了解样本空间使我们能够确定掷出特定数字的可能性。如果我们想找出掷出偶数的概率，我们可以轻松识别出样本空间中相关的结果是2、4和6，从而使我们能够将概率计算为有利结果与总结果的比率。此外，样本空间的概念超越了简单的实验。在更复杂的场景中，例如从一副牌中抽卡，样本空间包含所有可能的抽卡组合。例如，如果我们从标准的52张牌中抽两张牌，样本空间就包括所有可以选择的卡片对。理解这个更大的样本空间对于计算与纸牌游戏及其他类似活动相关的概率至关重要。在现实世界的应用中，样本空间在决策过程中也可以发挥重要作用。企业通常依赖统计分析来做出明智的决策。通过定义各种市场情景的样本空间，公司可以有效评估风险和机会。例如，在推出新产品时，公司可能会分析目标受众的客户偏好样本空间，其中包括所有可能的反应。这种分析帮助企业量身定制营销策略，以最大化成功。此外，理解样本空间不仅在理论背景中重要，而且在实际情况下也同样重要。例如，在体育分析中，球队通过考虑比赛中所有可能的进攻来分析球员表现。通过检查这个样本空间，教练可以制定增强球队获胜机会的策略。总之，样本空间的概念是概率和统计研究的基础。它为理解随机事件和计算概率提供了框架。无论是在像掷硬币这样的简单实验中，还是在商业决策等复杂场景中，识别样本空间使个人能够基于数据做出明智的选择。随着我们继续探索统计的广泛应用，掌握样本空间的概念无疑会增强我们的分析能力，提高我们对周围世界的理解。