AMC 8 2007 Problem 21

AMC8 2007 年第 21 题

概率★★★☆☆

Two cards are dealt from a deck of four red cards labeled A, B, C, D and four green cards labeled A, B, C, D. A winning pair is two of the same color or two of the same letter. What is the probability of drawing a winning pair?

从 4 张标有 A，B，C，D 的红牌和 4 张标有 A，B，C，D 的绿牌中选择 2 张牌。一对获胜的牌是指两张同色的牌或者两张字母一样的牌。那么抽到的 2 张牌是一对获胜的牌的概率是多少？

A. $\displaystyle \frac{2}{7}$
B. $\displaystyle \frac{3}{8}$
C. $\displaystyle \frac{1}{2}$
D. $\displaystyle \frac{4}{7}$
E. $\displaystyle \frac{5}{8}$

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