一副 52 张牌中有多少个方块皇后?
概率可以定义为发生特定事件的机会。概率的范围在 0 到 1 之间,或以百分比表示的 0% 到 100%。如果事件的概率为 0,则该事件不太可能发生并被视为不可能事件。另一方面,如果一个事件的概率为 1,那么它将是某个事件。在样本空间中,所有事件的概率加起来为 1。概率的一些应用是天气预报、掷硬币、掷骰子、体育和棋盘游戏。
与概率有关的重要术语
在学习概率中使用的术语之前。我们先来看看概率的基本定义和求概率的公式。概率基本说明事件发生的可能性。概率的公式是,
Probability of an event = Number of favorable outcomes / Total number of outcomes
注意概率总是介于 0 和 1 之间。
0≤P≤1
例如:
两面硬币正面朝上的概率 = 1/2
因为这里每个硬币都有 1 个正面,总结果是 2。
- 实验:结果未知的观察称为实验。
- 随机实验:这是一种重复多次并导致不同结果的观察。预测随机实验的结果称为概率。从一副牌中抽一张牌是随机实验的一个例子,因为在每一轮,你都会得到一张不同的牌。
- 结果:随机实验产生不同的结果,称为结果。假设如果我们抛硬币并得到正面。因此,抛硬币是一个随机实验,结果是“正面”。
- 样本空间:随机实验的所有可能结果构成样本空间。例如,如果我们掷骰子,我们可以得到 1、2、3、4、5 或 6。因此,样本空间将有 1、2、3、4、5 和 6。这意味着如果掷骰子,则样本空间或可能的结果为 6。
- 事件:当单个实验发生时,其结果称为事件。抛硬币时获得正面是事件的一个例子。一般用“E”表示。
- 可能的结果:实验中所有可能发生的结果都是可能的结果。例如,在抛硬币时,我们要么得到正面,要么得到反面,所以在这种情况下有两种可能的结果。
- 不可能事件:发生可能性为0的事件称为不可能事件。例如,掷出 6 面骰子是不可能得到 17 的。
- 独立事件:如果一个事件的发生不影响第二个事件的发生,则称两个事件是独立的,反之亦然
一副 52 张牌中有多少个方块皇后?
解决方案:
A deck of 52 cards consists of 4 suits: diamonds, hearts, clubs, and spades.
There are 13 cards in a suit, they are: Ace, King, Queen, Jack, 10, 9, 8, 7, 6, 5, 4, 3, 2.
Each suit has only one Queen card.
Therefore, In a deck of 52 cards, there is only one queen of Diamonds.
类似问题
问题 1:一副 52 张牌中有多少张 Jack?
解决方案:
A deck of 52 cards consists of 4 suits: diamonds, hearts, clubs, and spades.
There are 13 cards in a suit, they are: Ace, King, Queen, Jack, 10, 9, 8, 7, 6, 5, 4, 3, 2.
Each suit has only one Jack card.
Total Jack cards = No of suit × No of Jack card in one Suit.
Total Jack cards = 4 × 1 = 4
Therefore, In a deck of 52 cards, there are four Jack cards.
问题 2:如果从一副洗好的 52 张牌中随机挑选一张牌,找出得到红色国王的概率。
解决方案:
A deck of 52 cards consists of 4 suits: diamonds, hearts, clubs, and spades.
There are 13 cards in a suit, they are: Ace, King, Queen, Jack, 10, 9, 8, 7, 6, 5, 4, 3, 2.
Each suit has only one King card and there is two red suit.
Total Red King cards = No of red suit x No of King card in one Suit.
Total Red King cards = 2 × 1 = 2
Probability = 2/52 = 1/26
Therefore, In a deck of 52 cards, the probability of getting a king of the red suit is 1/26.
问题 3:如果从一副洗好的 52 张牌中随机挑选一张牌,求出黑王的概率。
解决方案:
Total number of cards = 52
Number of black kings = 2
Total Black king cards = No of black suit × No of King card in one Suit.
Total Black King cards = 2 × 1 = 2
Probability = 2/52 = 1/26
Therefore, In a deck of 52 cards, the probability of getting a king of the black suit is 1/26.
问题 4:如果从一副洗好的 52 张牌中随机挑选一张牌,求得到一张 A 牌的概率。
解决方案:
A deck of 52 cards consists of 4 suits: diamonds, hearts, clubs, and spades.
There are 13 cards in a suit, they are Ace, King, Queen, Jack, 10, 9, 8, 7, 6, 5, 4, 3, 2.
Each suit has only one ace card.
Total Ace cards = No of suit x No of Ace card in one Suit.
Total Jack cards = 4 × 1 = 4
Probability = 4/52 = 1/13
Therefore, In a deck of 52 cards, the probability of getting an Ace card is 1/13.
问题 5:如果从一副洗好的 52 张牌中随机挑选一张牌,找出得到 6 的概率。
解决方案:
Each suit has only one 6 card.
Probability = 4/52 = 1/13
Therefore, In a deck of 52 cards, the probability of getting a 6 card is 1/13.