如何预测抛硬币？
概率是指作为概率事件的结果的所有可能结果中，有利或希望的结果作为结果出现的机会。为了计算或预测任何事件的概率，所有可能出现不同结果的情况和情况都会被考虑在内。当一个事件发生时，每个结果都有相同的机会成为该事件的可能结果。概率事件的期望或期望结果称为有利结果，不期望结果称为不利事件。
有利结果的概率用 P(E) 表示。不利结果的概率用 P(E') 表示。概率的有利和不利结果的总和总是一。给定规则始终成立：
P(E) + P(E’) = 1
概率事件结果的预测
在考虑任何概率事件时，会考虑所有可能的结果来预测输出。概率大致分为公平概率和不公平概率两类。两者都列出如下：
- 公平概率：当每个结果都有相同的机会成为概率的结果并且对任何特定结果没有表现出偏袒时。当我们考虑公平概率情景时，永远不会观察到对特定结果的偏袒或偏爱行为。它属于公平概率的范畴。例如：掷骰子属于公平概率情况，因为从 1 到 6 的每个数字都有 1/6 的概率。
- 不公平概率：当每个结果成为概率结果的机会不均等时，并且对任何特定结果都表现出某种偏袒。当我们考虑不公平的概率情景时，会观察到对特定结果的偏袒或偏爱行为。它属于不公平概率的范畴。例如：投掷数字1、2、3、4、5、5的骰子。这里每个数字的概率不是偶数，数字5的概率是有利的。数字 1 到 4 中的每一个的概率为 1/6，数字 5 的概率为 2/6。
在预测概率结果时，我们认为概率属于公平概率类别，并且每个概率结果发生的机会均等。
预测抛硬币的结果
抛硬币结果概率的预测结果，我们认为这是一个公平的概率场景，因此遵循以下步骤：
Step 1: Determining possible outcomes
When a fair coin is tossed in air, there are two distinct outcomes expected – Head and Tail.
Step 2: Checking all the probability rules are followed
There is no favorized behavior towards any of the come, obeying the fair probability rules. Both of the outcomes have experience no partialized treatment while finding the outcome of tossing a coin.
Step 3: Predicting output of the probability event
Probability of occurrence of Head when coin is tossed
= Possible Head in a Coin Flip/ Total Possible Outcomes of a Coin Flip
= 1/2
Probability of occurrence of Tail when coin is tossed
= Possible Tail in a Coin Flip/ Total Possible Outcomes of a Coin Flip
= 1/2
Each of these outcomes has a probability of occurrence of 1/2.
Step 4: Reconfirming the sum of all probability outcomes total to 1
To check if all the possible outcomes are correct we can sum the probabilities of both Head and Tail.
Probability of occurrence of Head when coin is tossed + Probability of occurrence of Tail when coin is tossed
= 1/2 + 1/2
= 1
The sum of probabilities of favorable and unfavorable outcome is always one. Thus, verified that the probability scenario is correct in all aspects.
类似问题
问题 1. 预测掷骰子的输出。
解决方案：
When we consider the case of rolling of a dice, there are 6 possible outcomes and each has an equal chance of occurrence with a probability with 1/6.
问题 2. 从 10 名学生中预测拿起班长的输出。
解决方案：
When we consider the case of picking up the class monitor, there are 10 possible outcomes and each has an equal chance of becoming monitored with a probability of 1/10.
问题 3. 在给定的 10 个男孩和 10 个女孩中，预测拿起班长的输出是男孩还是女孩。
解决方案：
When we consider the case of picking up the class monitor, there are 10 possible outcomes for boys and 10 possible outcomes for girls. Boys and girls have an equal chance of becoming monitored with a probability of 10/20 or 1/2.
问题 4. 预测从篮子中取出三个芒果和三个苹果的水果的产量。
解决方案：
The picked fruit to be mango or apple is the same 3/6 or 1/2.