题目 #13598
- UUID
2cef9494-2870-4866-92e9-3efb43ca1a61- 来源
- A中考/2026江苏中考期末数学试卷+答案160.pdf 第 4 页，bbox
[30.0, 517.3, 516.96, 752.27] - 题型 / 学科
- single_choice / math / JUNIOR
- 知识树
KT_JUNIOR_MATH_STANDARD- 难度
- 难度 4 / 5 较难 · 跨知识点综合
- QA 状态
- 存疑 / 待修复 重试 0 次，得分 0.950
- 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）
不透明袋子中仅有红、黄小球各一个, 两个小球除颜色外无其他差别,从中随机摸出一个小球 , 放回并摇匀, 再从中随机摸出一个小球, 则两次摸出的都是红球的概率是( ).
A. \(\frac{1}{4}\frac{3}{3}\)
B. \(\frac{1}{2}\frac{4}{1}\)
C.
D.
A. \(\frac{1}{4}\frac{3}{3}\)
B. \(\frac{1}{2}\frac{4}{1}\)
C.
D.
答案 / 解析
答案（f_answer）
A
解析（f_ways）
袋子中有红球和黄球各一个，因此第一次摸到红球的概率为\(\frac{1}{2}\)。由于摸出后放回并摇匀，第二次摸到红球的概率同样为\(\frac{1}{2}\)。两次摸球为独立事件，因此两次都摸到红球的概率为\(\frac{1}{2} \times \frac{1}{2} = \frac{1}{4}\)。选项A表示\(\frac{1}{4}\)，故选择A。
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 | 1.000 | |
| 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 | 0.950 | |
| SOLVER | blind-solver | PASS | 1.000 | |
| CRITIC | critic | PASS | 1.000 | |
| 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 | 0.950 | |
| 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 |
知识点（0）
无
事件
| 时间 | 阶段 | 级别 | 消息 |
|---|---|---|---|
| 2026-09-22 20:47:37 | PUBLISH | ERROR | 发布失败: 正式发布门禁：选项内容为空: C,D |
| 2026-09-22 20:47:37 | QA | INFO | QA: PASS (score=0.950) |
| 2026-09-22 20:45:27 | FORMULA | WARN | 公式转换未确认，保留原文本: option_B |
| 2026-09-22 20:44:35 | FORMULA | WARN | 公式转换未确认，保留原文本: option_A |