爆难，帮帮吧数学

tsi_proxy · 发表于 2012-3-21 20:31:01

图表如下：
  Favorable   Unfavorable   Not Sure
Candidate M   40   20   40
Candidate N   30   35   35
题目：
The table above shows the results of a survey of 100 voters who each responded “Favorable” or “unfavorable”or “not sure” when asked about their impressions of Candidate M and of Candidate N.
What was the number of voters who responded “favorable” forboth candidates? 如果数据没变，应该是10人
(1)The number of voters who did not respond “favorable” for either candidate was 40
(2)The number of voters who responded “unfavorable” for both candidates was 10

xiang5796 · 发表于 2012-3-21 20:46:14

A......?

宝二爷 · 发表于 2012-3-21 20:55:33

这题就是选A的。有条件一可得出 respond “favorable” for either candidate or candidate was 60, then on the favorable condition M(40)+N(30)-M&N(60)=MN=10.
而，单独由条件二无法得出结果~

天天夜夜 · 发表于 2012-3-21 21:00:50

选A 单看第一栏 favorable 会比较清楚
楼上的说的听清楚~~

nomailman · 发表于 2012-3-21 21:39:23

有一个思路供参考：
(1)The number of voters who did not respond “favorable” for either candidate was 40
(2)The number of voters who responded “unfavorable” for both candidates was 10

(2)其实是(1)的子集，也就是(2)是包含在(1)中的。一般而言，(1)的条件是充分的，其子集(2)的条件就是不充分的。

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