AMC 8 2003 Problem 12

AMC8 2003 年第 12 题

概率★★★☆☆

Problem When a fair six-sided dice is tossed on a table top, the bottom face cannot be seen. What is the probability that the product of the faces that can be seen is divisible by 6?

当把一个标准的六面骰子掷到桌面上时，骰子底面数字无法看到。那么其他能看到的五个面上的数字之积能被 6 整除的概率是多少？ Problem 13 Fourteen white cubes are put together to form the figure on the right. The complete surface of the figure, including the bottom, is painted red. The figure is then separated into individual cubes. How many of the individual cubes have exactly four red faces? 14 个白色正方体被放在一起形成右边的图形。图形的整个表面（包括底部）被涂成红色。接着将图形分割为各个正方体。有多少个正方体正好有四个红色的面？

A. $\displaystyle \frac{1}{3}$
B. $\displaystyle \frac{1}{2}$
C. $\displaystyle \frac{2}{3}$
D. $\displaystyle \frac{5}{6}$
E.1

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