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题目 #13595

UUID
446719ba-1d59-4c39-adba-049be2f34dea
来源
A中考/2026江苏中考期末数学试卷+答案160.pdf 第 3-4 页,bbox [31.44, 641.62, 400.2, 152.87]
题型 / 学科
single_choice / math / JUNIOR
知识树
KT_JUNIOR_MATH_STANDARD
难度
难度 2 / 5 简单 · 单一知识点
QA 状态
存疑 / 待修复 重试 0 次,得分 0.900
最终题 ID
-
错误
发布失败: 正式发布门禁:选项内容为空: D

最终题干渲染(f_body 预览)

一个盒子内装有大小, 形状均相同的四个球, 其中1个红球、1个绿球和 【小试1】 2个白球. 小明从中摸出一个球后不放回, 再摸出一个球, 则两次摸到 的球的颜色一样的概率是(          ). 2
A. \(1 \frac{1}{8}6\)
B. 3
C. 5 12
D.

答案 / 解析

答案(f_answer)

C

解析(f_ways)

设红球为R,绿球为G,白球为W1、W2。总共有4个球,第一次摸球有4种可能,第二次摸球有3种可能,因此总的基本事件数为\(4\times 3=12\)种。两次摸到球的颜色一样的情况有:第一次摸到红球,第二次只能摸到红球(不可能,因为只有一个红球);第一次摸到绿球,第二次只能摸到绿球(不可能,因为只有一个绿球);第一次摸到白球,第二次只能摸到白球。第一次摸到白球有2种可能(W1或W2),第二次摸到白球有1种可能(剩下的那个白球),因此两次摸到白球的概率为(\(2\times 1\))/12=1/6。两次摸到球的颜色一样的概率为1/6。因此,正确答案为C。

原图与资产(1)

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打开
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审计记录

阶段审计器结果得分依据(简短)
STRUCTURE structure-rule PASS 0.900
FORMULA formula-auditor PASS 1.000
KNOWLEDGE knowledge-auditor WARN -
VISION vision-auditor PASS 0.900
SOLVER blind-solver PASS 1.000
CRITIC critic PASS 1.000
SYMBOLIC symbolic-auditor WARN 0.500
COHERENCE coherence-auditor FAIL 0.800
QUALITY_GATE quality-gate FAIL 0.900
SOLVER blind-solver PASS 0.900
CRITIC critic PASS 0.950
COHERENCE coherence-auditor PASS 1.000
SYMBOLIC symbolic-auditor PASS 1.000
AUTO_REPAIR_ATTEMPT answer-repair PASS 1.000
AUTO_REPAIR answer-repair PASS 1.000
VISION vision-auditor PASS 0.900
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
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知识点(0)

无

事件

时间阶段级别消息
2026-09-22 20:47:51PUBLISHERROR发布失败: 正式发布门禁:选项内容为空: D
2026-09-22 20:47:51QAINFOQA: PASS (score=0.900)