题目 #13520
- UUID
924a7c09-640e-4da4-a2da-0bbce9721273- 来源
- A中考/2026江苏中考期末数学试卷+答案150.pdf 第 3-4 页，bbox
[30.0, 721.54, 553.68, 385.79] - 题型 / 学科
- single_choice / math / JUNIOR
- 知识树
KT_JUNIOR_MATH_STANDARD- 难度
- 难度 5 / 5 最难 · 复杂推理/计算
- QA 状态
- 存疑 / 待修复 重试 0 次，得分 0.938
- 最终题 ID
- -
- 错误
- 发布失败: 正式发布门禁：选项内容为空: C,D
最终题干渲染（f_body 预览）
一个不透明盒子中装有6个黑球和a个白球, 这些球除颜色外都相同,经过若干次试验 , 发现＂若从盒子中任意摸出一个球, 恰是黑球＂的概率为0.4, 则这个盒子中大约有白球____个. 3.2025 年3月是全国第62个学习雷锋月, 为进一步学习弘扬雷锋精神,学校开展一系列"学雷锋"活动 , 某班级为响应学校号召, 计划从"护绿植绿", "志愿服务", "公益环保", "文化宣讲"4项活动中随机选取2 项进行实践, 则恰好选中"护绿植绿"和"文化宣讲"的概率是( ).
A. \(\frac{1}{2}\frac{4}{1}\)
B. \(\frac{1}{3}\frac{6}{1}\)
C.
D.
A. \(\frac{1}{2}\frac{4}{1}\)
B. \(\frac{1}{3}\frac{6}{1}\)
C.
D.
答案 / 解析
答案（f_answer）
9;\(\frac{1}{6}\)
解析（f_ways）
第一问：设白球有 a 个，则总球数为 6 + a。摸出黑球的概率为 6/(6+a) = 0.4，解得 a = 9，故白球约有 9 个。
第二问：从4项活动中随机选取2项，总共有 C(4,2)=6 种等可能结果。恰好选中"护绿植绿"和"文化宣讲"只有1种情况，因此概率为 1/6。
原图与资产（0）
该题没有裁出图片资产
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 | 0.950 | |
| SOLVER | blind-solver | PASS | 1.000 | |
| CRITIC | critic | PASS | 1.000 | |
| SYMBOLIC | symbolic-auditor | WARN | 0.500 | |
| COHERENCE | coherence-auditor | FAIL | 0.900 | |
| QUALITY_GATE | quality-gate | FAIL | 0.938 | |
| SOLVER | blind-solver | PASS | 1.000 | |
| CRITIC | critic | PASS | 1.000 | |
| COHERENCE | coherence-auditor | PASS | 0.950 | |
| SYMBOLIC | symbolic-auditor | WARN | 0.550 | |
| AUTO_REPAIR_ATTEMPT | answer-repair | PASS | 1.000 | |
| AUTO_REPAIR | answer-repair | PASS | 1.000 | |
| VISION | vision-auditor | PASS | 0.950 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 |
知识点（0）
无
事件
| 时间 | 阶段 | 级别 | 消息 |
|---|---|---|---|
| 2026-09-22 20:17:32 | PUBLISH | ERROR | 发布失败: 正式发布门禁：选项内容为空: C,D |
| 2026-09-22 20:17:32 | QA | INFO | QA: PASS (score=0.938) |
| 2026-09-22 20:12:55 | FORMULA | WARN | 公式转换未确认，保留原文本: option_B |
| 2026-09-22 20:11:26 | FORMULA | WARN | 公式转换未确认，保留原文本: option_A |