AMC8 2002

AMC8 2002 · Q12

AMC8 2002 · Q12. It mainly tests Probability (basic).

A board game spinner is divided into three regions labeled A, B and C. The probability of the arrow stopping on region A is $\frac{1}{3}$ and on region B is $\frac{1}{2}$. The probability of the arrow stopping on region C is

一个棋盘游戏转盘分为三个区域，标有A、B和C。箭头停在区域A的概率为$\frac{1}{3}$，停在区域B的概率为$\frac{1}{2}$。箭头停在区域C的概率是

(A) $\frac{1}{12}$ $\frac{1}{12}$

(B) $\frac{1}{6}$ $\frac{1}{6}$

(D) $\frac{1}{3}$ $\frac{1}{3}$

(E) $\frac{2}{5}$ $\frac{2}{5}$

Answer

Correct choice: (B)

正确答案：（B）

Solution

Since the sum of the three probabilities is 1, the probability of stopping on region $C$ is $1 - \frac{1}{3} - \frac{1}{2} = \frac{6}{6} - \frac{2}{6} - \frac{3}{6} = \frac{1}{6}$.

由于三个概率之和为1，停在区域$C$的概率为$1 - \frac{1}{3} - \frac{1}{2} = \frac{6}{6} - \frac{2}{6} - \frac{3}{6} = \frac{1}{6}$。

Topics

CP.006 Probability (basic)