如果抛三枚硬币一次，会有多少种可能的结果？

在日常生活中，当人们不确定某些事情时，经常使用“也许”这个词。例如，也许，今天可能会下雨。可能会下雨，但我们不确定，今天可能不会下雨。这种类型的陈述导致事件的不确定性。概率一词源自“可能”一词，意思是当人们不确定事件的发生时。因此寻找机会的独特方式将在本文中讨论。

与概率相关的术语

• 随机实验：随机实验被定义为要完成的任何工作。假设我们正在掷骰子或掷硬币等。
• 事件：事件被定义为结果的集合。
• 样本空间：样本空间定义为实验的所有可能结果。例如，如果我们掷骰子，它可能会出现 1、2、3、4、5 或 6。所以所有这些结果都被称为样本空间。

可能性

It is defined as the ratio of favourable outcomes to the total number of possible outcomes. We can represent it in fractions, decimals, or percentages.  The probability lies between 0 to 1.

Probability = {(Favourable Outcomes) / (Total Outcomes)} 

We generally represent it by ‘p’.

If probability of an event is ‘p’ then the probability of not happening of same event is ‘1-p’, we generally non happening of probability by ‘q’.

q = 1 – p 

可能的结果

可能的结果被称为进行实验时出现的所有结果。它可能有利于正在试验的人，也可能不利于。假设一个人掷骰子，他希望出现 5，但最终结果可能是 1 到 6 之间的任何数字。

所有可能的结果都称为样本空间。

如果计算所有可能的结果，则该值称为可能结果的数量。

如果抛三枚硬币一次，会有多少种可能的结果？

解决方案：

We will learn step by step, how to solve this problem.

Step 1: First of all try to find out all the possible outcomes when a single coin is toss. 

When we toss a fair coin then the outcomes are ‘Head’ or ‘Tail’

Step 2: Represent them in form of sample space.

We will represent head as ‘H’ and tail as ‘T’

Sample Space, S = { H, T}

Step 3: If the same process is repeated then try to find out the relation between them.

Here three coins are tossed, so the first coin may show Head or Tail, similarly, the second and third coins may also show head and tail.

The first coin has two possibilities, the second coin has two possibilities and the third coin also has two possibilities.

So total number of possibilities = 2 × 2 × 2

                                                 = 8

Step 4: Write down all the possibilities.

By exchanging the position of head and tail, all the possible outcomes = { HHH, HHT, HTH, THH, HTT, THT, TTT, TTH}

So there is a total of 8 possible outcomes when three coins were tossed once.

类似问题

问题1：如果两个硬币被抛一次，有多少种可能的结果？

解决方案：

When we toss a fair coin then the outcomes as ‘Head’ or ‘Tail’, so the total possible outcomes are 2.

We will represent head as ‘H’ and tail as ‘T’

Since the same experiment is performed twice so total possible outcomes = 2 × 2

                                                                                                                  = 4

Possible outcomes, S = { HH, HT, TH, TT }

So there is a total of 4 possible outcomes when two dice were tossed once.

问题2：如果一次抛四枚硬币，有多少种可能的结果？

解决方案：

When we toss a fair coin then the outcomes as ‘Head’ or ‘Tail’, so the total possible outcomes are 2.

We will represent head as ‘H’ and tail as ‘T’

Since the same experiment is performed four times, so total possible outcomes = 2 × 2 × 2 × 2

                                                                                                                           =16

Possible outcomes, S = { HHHH, HHHT, HHTH, HTHH, THHH, HHTT, TTHH, HTHT, THTH, THHT, HTTH, HTTT, THTT, TTHT,                                         TTTH, TTTT }

So there is a total of 16 possible outcomes when four dice were tossed once.