什么是公平和不公平硬币？
概率是指在事件的所有给定可能结果中，想要的结果发生的机会。概率的期望结果甚至被称为有利结果，除期望结果之外的所有其他结果都属于不利结果的类别。简单来说，概率给出了在所有可用结果中某个结果发生的可能性的程度。
事件的概率
概率事件根据概率事件的执行方式来预测结果的可能性。事件的概率主要有两种，公平概率事件和不公平概率事件。事件的概率为，
事件的概率=预期结果发生的机会/事件可能结果的总数
- 公平概率事件
当概率事件表现出公平的做法并且每个结果都有相同的机会成为概率事件的最终结果时，它们被称为公平概率事件。公平概率事件遵循概率原则，无论结果是想要的还是不想要的结果，都不会出现偏袒。所有结果都被认为是平等的，并且发生的机会均等。
- 不公平概率事件：
当概率事件表现出不公平的做法并且每个结果都有不均等的机会成为概率事件的最终结果时，它们被称为不公平概率事件。公平概率事件不遵循概率原则，并且存在对结果的偏袒，无论是想要的还是不想要的结果。并非所有结果都被认为是平等的，并且发生的机会也不相同。
什么是公平和不公平的硬币？
回答：
- Fair Coin
A coin is said to be a Fair Coin when it behaves like a generic coin. Fair Coin has the same outputs as the generic coin i.e; a Fair Coin has two outputs – One Head & One Tail.
Probability of Heads while tossing of a coin,
= Number of Heads on Sides of Coin / Total Outputs for Coin
= 1/2
Probability of Tails while tossing of a coin,
= Number of Tails on Sides of Coin / Total Outputs for Coin
= 1/2
- Unfair Coin
A coin is said to be an Unfair Coin when it doesn’t behave like a generic coin. Unfair Coin does not have the same outputs as the generic coin i.e; an Unfair Coin has either Two Heads or Two Tails.
Thus unfair coin can have two cases of Probability,
- Case 1: When both the outputs are Heads
Probability of Heads while tossing of a coin,
= Number of Heads on Sides of Coin / Total Outputs for Coin
= 2/2
= 1
- Case 2: When both the outputs are Tails
Probability of Tails while tossing of a coin,
= Number of Tails on Sides of Coin / Total Outputs for Coin
= 2/2
= 1
类似问题
问题1：掷骰子公平吗？
回答：
A generic dice has six numbers ranging from 1 to 6 on all its faces. To check if a dice is fair, compare the available outputs to the outputs of a generic dice and then conclude if it’s a fair dice or not.
问题 2：当我们考虑公平和不公平的概率场景时，概率会发生变化吗？
回答：
Yes, probability varies when the two scenarios of fair and unfair probabilities are considered. Since the outputs in both cases are different, therefore, the probabilities linked to them are also different.
问题3：抛硬币。它会被认为是公平的还是不公平的硬币？
回答：
Before mentioned, always consider that the probability event is giving a fair entity. So, here a fair coin is considered for the toss.
问题4：掷骰子。它会被认为是公平还是不公平的骰子？
回答：
Before mentioned, always consider that the probability event is giving a fair entity. So, here a fair dice is considered for the roll-up.