Play and Learn · Math Learning Center · Level 11

Probability

概率

Probability measures how likely something is to happen. In this lesson you will learn how to calculate probability and describe it with words like certain and impossible.

概率量度事情發生的可能性。在這一課,你會學習怎樣計算概率,並用「必然」和「不可能」等詞語來描述。

1 · What is probability?

甚麼是概率?

0 · impossible 不可能 0.5 · even chance 一半一半 1 · certain 必然
Probability is always between 0 and 1.
概率總是在 0 和 1 之間。

Probability is always between 0 and 1. A probability of 0 means impossible, and 1 means certain. We can also write it as a fraction, decimal or percentage.

概率總是在 0 和 1 之間。概率 0 代表不可能,1 代表必然。我們也可以用分數、小數或百分數來表示。

2 · Calculating probability

計算概率

Probability = favourable outcomes ÷ total outcomes. When you roll a die, the probability of rolling a 3 is 1 out of 6.

概率 = 有利結果的數目 ÷ 結果總數。擲一粒骰子時,擲出 3 的概率是六分之一。

🔑 Key idea

A die has 6 faces, so P(rolling a 3) = 1/6.

骰子有 6 面,所以 P(擲出 3)= 1/6。

3 · From certain to impossible

由必然到不可能

We describe probability with words:

我們用詞語來描述概率:

  • Certain — it will definitely happen.必然——一定發生。
  • Likely — it will probably happen.很可能——大概會發生。
  • Unlikely — it probably will not happen.不太可能——大概不會發生。
  • Impossible — it cannot happen.不可能——不會發生。

4 · Coins and dice

硬幣與骰子

A fair coin has 2 outcomes, so the probability of heads is 1/2. A die has 6 outcomes, so the probability of rolling any one number is 1/6.

一枚公平的硬幣有 2 個結果,所以擲出正面的概率是 1/2。一粒骰子有 6 個結果,所以擲出任何一個數字的概率是 1/6。

5 · Quick check

小測驗

Q1. What is the probability of an impossible event?

不可能事件的概率是多少?

Q2. What is the probability of flipping heads?

擲出正面的概率是多少?

Q3. What is the probability of rolling a 3 on a die?

擲出 3 的概率是多少?

Q4. Probability is always between ___?

概率總是在哪兩者之間?

Q5. "It will definitely happen" means ___?

「一定發生」代表甚麼?

Q6. What is the probability of a certain event?

必然事件的概率是多少?
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