掷两个骰子可能的结果是什么?
概率是处理事件发生可能性的数学的一部分。就是预测事件发生或不发生的可能性有多大。作为数字的概率仅介于 0 和 1 之间,也可以写成百分比或分数的形式。可能事件 A 的概率通常写为 P(A)。这里 P 表示可能性,A 表示事件的发生。类似地,任何事件的概率通常写为 P()。当事件的最终结果未得到确认时,我们会使用某些结果的概率——它们发生的可能性或它们发生的机会。
为了更准确地理解概率,我们以掷骰子为例:
可能的结果是 - 1、2、3、4、5 和 6。
得到任何结果的概率是 1/6。由于事件发生的可能性是同等可能的事件,因此在这种情况下获得任何数字的可能性相同,它是 1/6 或 50/3%。
概率公式
Probability of an event, P(A) = (Number of ways it can occur) ⁄ (Total number of outcomes)
活动类型
- 同等可能事件:掷骰子后,得到任何可能事件的概率为 1/6。由于该事件是同样可能的事件,因此在这种情况下获得任何数字的可能性相同,它是公平掷骰子的 1/6。
- 补充事件:有可能只有两个结果,即一个事件是否会发生。就像一个人会玩或不玩,买笔记本电脑或不买笔记本电脑等都是互补事件的例子。
掷两个骰子可能的结果是什么?
回答:
A standard die has six sides numbering 1, 2, 3, 4, 5, and 6. If the die is fair, then each of these outcomes is equally likely event. Since there are six possible outcomes. The probability of getting any side of the die is 1/6. The probability of obtaining a 1 is 1/6, the probability of obtaining a 2 is 1/6, and so on.
The number of total possible outcomes is equal to the total numbers of the first die (6) multiplied by the total numbers of the second die (6), which is 36. So, the total possible outcomes when two dice are thrown together is 36.
The equally likely outcomes of rolling two dice are shown below:
(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)
(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)
(3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)
(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)
(5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)
(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)
类似问题
问题 1:当五个骰子放在一起时,总共可能的结果是什么?
解决方案:
A standard die has six sides numbering 1, 2, 3, 4, 5, and 6. If the die is fair, then each of these outcomes is equally likely event. Since there are six possible outcomes, the probability of getting any side of the die is 1/6. The probability of obtaining a 1 is 1/6, the probability of obtaining a 2 is 1/6, and so on.
The number of total possible outcomes is equal to the total numbers of the first die (6) multiplied by the total numbers of the second die (6)multiplied by the total number of the third die(6), and so on, which is 7776. So, the total possible outcomes when three dies are thrown together is 7776.
问题 2:当六个骰子放在一起时,总共可能的结果是什么?
解决方案:
A standard die has six sides numbering 1, 2, 3, 4, 5, and 6. If the die is fair, then each of these outcomes is equally likely event. Since there are six possible outcomes, the probability of getting any side of the die is 1/6. The probability of obtaining a 1 is 1/6, the probability of obtaining a 2 is 1/6, and so on.
The number of total possible outcomes is equal to the total numbers of the first die (6) multiplied by the total numbers of the second die (6)multiplied by the total number of the third die(6)multiplied by the total number of the fourth die(6), and so on… which is 46656.
So, the total possible outcomes when four dies are thrown together is 46656.