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HMMT 二月 2006 · GEN1 赛 · 第 2 题

HMMT February 2006 — GEN1 Round — Problem 2

专题
Contest Math / 竞赛数学
难度
L3
来源
HMMT

题目详情

英文原题

  1. What is the probability that two cards randomly selected (without replacement) froma standard 52-card deck are neither of the same value nor the same suit?
解析

英文解析

  1. What is the probability that two cards randomly selected (without replacement) froma standard 52-card deck are neither of the same value nor the same suit?
    Answer:12
    Solution: After choosing a first card, the second needs to be in one of the other 17
    3 · 12 12
    three suits and of a different value. Hence, the answer is = .
    52 − 1 17