addition of probabilities

简明释义

概率加法;

英英释义

例句

1.When calculating the total risk, the addition of probabilities 概率的相加 for each individual risk factor is essential.

在计算总风险时，概率的相加 addition of probabilities 对于每个单独的风险因素是必不可少的。

2.The addition of probabilities 概率的相加 can be applied to determine the likelihood of drawing two aces from a deck of cards.

可以应用概率的相加 addition of probabilities 来确定从一副牌中抽到两张王牌的可能性。

3.In a survey, if one respondent has a 30% chance of answering correctly and another has a 50% chance, the addition of probabilities 概率的相加 gives a combined estimate.

在调查中，如果一位受访者正确回答的概率为30%，而另一位为50%，那么概率的相加 addition of probabilities 将提供一个综合估计。

4.The addition of probabilities 概率的相加 is often used in games of chance to find the overall winning chances.

在机会游戏中，概率的相加 addition of probabilities 常用于找出整体的获胜机会。

5.In statistics, the addition of probabilities 概率的相加 helps us determine the likelihood of multiple independent events occurring.

在统计学中，概率的相加 addition of probabilities 帮助我们确定多个独立事件发生的可能性。

作文

The concept of probability plays a crucial role in various fields, from mathematics to everyday decision-making. One fundamental principle in probability theory is the addition of probabilities, which allows us to calculate the likelihood of various outcomes when dealing with multiple events. Understanding this principle can significantly enhance our ability to analyze and interpret data, as well as make informed decisions based on statistical evidence.To grasp the addition of probabilities, we first need to understand what probability itself means. Probability is a measure of how likely an event is to occur, expressed as a number between 0 and 1. An event that is certain to happen has a probability of 1, while an impossible event has a probability of 0. The addition of probabilities comes into play when we want to find the total probability of two or more mutually exclusive events happening.For example, consider a simple scenario where you roll a six-sided die. The probability of rolling a 3 is 1/6. If we want to know the probability of rolling either a 3 or a 5, we can use the addition of probabilities. Since these two outcomes cannot happen at the same time (they are mutually exclusive), we simply add their probabilities together: 1/6 + 1/6 = 2/6, which simplifies to 1/3. Thus, the probability of rolling either a 3 or a 5 is 1/3.However, the situation changes when we deal with non-mutually exclusive events. For instance, if we consider the probability of drawing a card from a standard deck of cards, the probability of drawing a heart is 1/4, and the probability of drawing a face card is 3/13. In this case, some face cards are also hearts (the King, Queen, and Jack of Hearts), so we must be careful not to double-count these outcomes when using the addition of probabilities. To find the combined probability of drawing a heart or a face card, we would first add the individual probabilities and then subtract the probability of the overlap (the face cards that are hearts): P(Heart or Face Card) = P(Heart) + P(Face Card) - P(Heart and Face Card).This is a critical aspect of the addition of probabilities that one must keep in mind when working with overlapping events.In real life, understanding the addition of probabilities can help us make better decisions. For instance, if a weather forecast states that there is a 30% chance of rain tomorrow and a 20% chance of thunderstorms, we can use the addition of probabilities to assess the overall risk of inclement weather. If we assume that rain and thunderstorms are mutually exclusive for this situation, we can simply add the probabilities: 30% + 20% = 50%. However, if they are not mutually exclusive, we would need to account for any overlap in our calculations.In conclusion, the addition of probabilities is a fundamental concept in probability theory that enables us to calculate the likelihood of multiple events occurring. By understanding how to apply this principle correctly, we can improve our analytical skills and make more informed choices in both academic and everyday contexts. Whether we are rolling dice, drawing cards, or interpreting forecasts, the ability to effectively use the addition of probabilities is an invaluable tool in our decision-making arsenal.

概率的概念在各个领域中都扮演着至关重要的角色，从数学到日常决策。概率论中的一个基本原理是概率的加法，它使我们能够在处理多个事件时计算各种结果的可能性。理解这一原理可以显著增强我们分析和解释数据的能力，以及基于统计证据做出明智决策的能力。要理解概率的加法，我们首先需要了解概率本身的含义。概率是衡量事件发生可能性的指标，表示为介于0和1之间的数字。一个确定会发生的事件的概率为1，而一个不可能发生的事件的概率为0。当我们想要找出两个或多个互斥事件发生的总概率时，概率的加法就发挥了作用。例如，考虑一个简单的场景，你掷一个六面骰子。掷出3的概率是1/6。如果我们想知道掷出3或5的概率，我们可以使用概率的加法。由于这两个结果不能同时发生（它们是互斥的），我们只需将它们的概率相加：1/6 + 1/6 = 2/6，简化为1/3。因此，掷出3或5的概率是1/3。然而，当我们处理非互斥事件时，情况就会有所不同。例如，如果我们考虑从标准扑克牌中抽一张牌，抽到红心的概率是1/4，抽到面牌的概率是3/13。在这种情况下，一些面牌也是红心（红心国王、红心皇后和红心杰克），因此在使用概率的加法时，我们必须小心不要重复计算这些结果。为了找到抽到红心或面牌的联合概率，我们需要先加上各自的概率，然后减去重叠部分的概率（红心中的面牌）：P(红心或面牌) = P(红心) + P(面牌) - P(红心和面牌)。这是在处理重叠事件时必须牢记的概率的加法的关键方面。在现实生活中，理解概率的加法可以帮助我们做出更好的决策。例如，如果天气预报显示明天有30%的降雨概率和20%的雷暴概率，我们可以使用概率的加法来评估恶劣天气的整体风险。如果我们假设降雨和雷暴在这种情况下是互斥的，我们可以简单地将概率相加：30% + 20% = 50%。但是，如果它们不是互斥的，我们需要在计算中考虑任何重叠。总之，概率的加法是概率论中的一个基本概念，使我们能够计算多个事件发生的可能性。通过理解如何正确应用这一原理，我们可以提高我们的分析能力，并在学术和日常环境中做出更明智的选择。无论我们是在掷骰子、抽牌还是解读天气预报，有效使用概率的加法都是我们决策工具箱中一项无价的工具。