1990 AMC 8 第 14 题

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所有题目均经美国数学协会(MAA)官方合法授权使用。

14.

一个袋子里只有蓝球和绿球。袋中有 66 个蓝球。如果从袋中随机取出一个球,取到蓝球的概率是 14\dfrac14,那么袋中有多少个绿球?

A bag contains only blue balls and green balls. There are 66 blue balls. If the probability of drawing a blue ball at random from this bag is 14,\dfrac14, then the number of green balls in the bag is

1212

1818

2424

3030

3636

答案:B
知识点:基本概率比与比例
难度评级:860
解答:

蓝球占袋中球总数的 14\dfrac14,而蓝球有 66 个,所以总数是 64=246 \cdot 4 = 24 个。

绿球数为 246=1824 - 6 = 18

所以正确答案是 B

Since blue balls make up 14\dfrac14 of the bag and there are 66 of them, the total is 64=246 \cdot 4 = 24 balls.

So the number of green balls is 246=1824 - 6 = 18.

Thus, the correct answer is B .

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