如果事件的概率为 1 或 0,这意味着什么?
可能性 是用于确定发生特定事件的机会的术语。也可以理解为事件发生的可能性。概率以从 0 到 1 的线性刻度以及从 0% 到 100% 的百分比表示。
概率的类型
概率的类型如下所述。基本上,主要有三种类型,理论概率,实验概率和主观概率。
- 理论概率:理论概率或也称为经典概率是已知样本空间中结果的数量,并且每个结果同样可能发生。
- 实验概率:实验概率也称为统计或相对频率。它是通过实验测量结果的概率。
- 主观概率:它是通过使用直觉做出有根据的猜测来估计的概率。
下面给出了确定事件概率的公式,
P(A) = n(A)/n(S)
在哪里,
P(A) 是事件的概率
n(A) 是有利结果的数量
n(S) 是有利结果的总数
概率的基本公式
概率公式给出了事件发生的可能性。它可以简单地通过一些基本的估计公式来计算。下面列出了这些公式。 P(A) 是事件 A 的概率,P(B) 是事件 B 的概率。
- 加法规则
P(A∪B) = P(A) + P(B) – P(A∩B)
- 概率范围
0 ≥P(A) ≤1
- 互补事件规则
P(A') + P(A) = 1
- 不相交的事件
P(A∩B) =0
- 独立活动
P(AB) =P(A)。前锋(乙)
- 条件概率
P(A|B) = P(B|A)。 P(A)|P(B)
如果事件的概率为 1 或 0,这意味着什么?
答案:
Let’s look at each case separately and understand what it means for a probability to be 1 and for a probability to be 0,
What does it mean the probability of an event is 1?
The probability of an event is the number expressing the chances of occurring the event. The number is determined between 0 to 1. The probability of an event is 1. It means the chances of the event happening is 100%. The event cannot be escaped and it will definitely take place.
What does it mean the probability of an event is 0?
The probability of an event is 0, which means the chances of the event happening is 0%. The event will not take place in any condition or it is impossible.
示例问题
问题 1:有哪些现实生活中的概率示例?
回答:
Cards games, lottery, Insurance are some real-life examples of probability.
问题2:概率0.5是什么意思?
回答:
The probability of an event is 0.5, which means the chances of happening something is 50%.
问题 3:一个事件的概率是 0.75。这是什么意思?
回答:
The probability of an event is 0.75 means the chances of the event occurring is 75.25%.
问题 4:确定从一副牌中拿到一张 A 的概率。
回答:
Given,
Total no. of favorable outcomes n(S) = 52
Number of Aces in the deck = 4
Number of favorable outcomes n(A) = 4
Now,
=4/52
= 1/13
Hence, the probability is 1/13.