機率計算器

我們免費的機率計算器是您最終極的線上數學工具，能快速、精確且無限次數地進行計算。無需登入，即可解決從簡單事件到條件情境的複雜機率問題。這款不可或缺的數學計算器能節省時間、提升學習成效，同時為學生、專業人士及愛好者提供數據驅動的決策支持。

單一事件概率計算器

結果
單一事件概率	值（小數）	值（百分比）
P(E)	-	-
P(E')	-	-

概率公式

The Single Event Probability Calculator uses the following formulas:

P(E) = n(E) / n(T) = (number of outcomes in the event) / (total number of possible outcomes)

P(E') = P(not E) = 1 - P(E)

Where:

P(E) is the probability that the event will occur,

P(E') is the probability that the event will not occur,

n(E) is the number of outcomes in the event E,

n(T) is the total number of possible outcomes.

多重事件概率計算器（A和B是獨立事件）

結果
多重事件概率	值（小數）	值（百分比）
P(A)	-	-
P(A')	-	-
P(B)	-	-
P(B')	-	-
P(A ∩ B)	-	-
P(A ∪ B)	-	-
P(A \| B)	-	-
P(B \| A)	-	-

概率公式

The Multiple Event Probability Calculator uses the following formulas:

P(A) = n(A) / n(T)

P(A') = P(not A) = 1 - P(A)

P(B) = n(B) / n(T)

P(B') = P(not B) = 1 - P(B)

P(A ∩ B) = P(A) × P(B)

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

P(A | B) = P(A ∩ B) / P(B)

P(B | A) = P(A ∩ B) / P(A)

Where:

P(A) is the probability that event A occurs,

P(A') is the probability that event A does not occur,

P(B) is the probability that event B occurs,

P(B') is the probability that event B does not occur,

P(A ∩ B) is the probability that events A and B both occur,

P(A ∪ B) is the probability that events A or B occur,

P(A | B) is the probability that event A occurs, given that event B has occurred,

n(A) is the number of outcomes in the event A,

n(B) is the number of outcomes in the event B,

n(T) is the total number of possible outcomes.

如何使用機率計算器

在上方的機率計算器輸入欄位中輸入數值。
點擊計算按鈕，立即取得結果。
查看輸出結果，調整輸入以比較不同情境。