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单选题 某光学仪器厂制造的透镜,第一次落地时打破的概率为
.若第一次落地时未打破,那么第二次落地时打破的概率为
.若前两次落地未打破,那么第三次落地时打破的概率为
,则透镜落地三次而未打破的概率为( )
A. 
B. 
C. 
D. 
学科：概率论与数理统计
时间：2025-12-27 10:20:13
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题目1单选题
已知P(B)>0,<img src="https://tihai-oss-cloud.itihey.com/img/128b94dae5ac497c0395c0ea6f4521f7.png">,则( )不成立A. <img src="https://tihai-oss-cloud.itihey.com/img/51e2448d64e8e45c172427333ecaec38.webp">B. <img src="https://tihai-oss-cloud.itihey.com/img/53dbd7f9ceae42fb6ed3a4c6d07a0421.webp">C. <img src="https://tihai-oss-cloud.itihey.com/img/c1b28fed72b766da58961f759648fc90.webp">D. <img src="https://tihai-oss-cloud.itihey.com/img/edfc2fb418ec3962887929decbdc69a2.webp">
题目2单选题
设随机事件A,B满足P(B|A)=1,则( )A. <img src="https://tihai-oss-cloud.itihey.com/img/a044fb4e8abb9ce89a95e8b0389c4147.webp">B. <img src="https://tihai-oss-cloud.itihey.com/img/74fc1d1649d0a297e83d5a370e2f3f53.webp">C. A为必然事件D. B⊂A
题目3单选题
设A,B互为对立事件,且P(A)>0,P(B)>0,则下述结论不成立的是( )A. P(B|A)=0B. P(A∪B)=1C. <img src="https://tihai-oss-cloud.itihey.com/img/2b4698c0601db9f51941e0b3899532ad.webp">D. <img src="https://tihai-oss-cloud.itihey.com/img/c802b9d5c6762dcc0634519637c51a29.webp">
题目4单选题
设P(A)=0.5,P(B|A)=0.6,P(<img src="https://tihai-oss-cloud.itihey.com/img/98330a927cd51a178f873a14b3258798.png">)=0.1,则<img src="https://tihai-oss-cloud.itihey.com/img/c42210c7dbd63be0b45a9dbc1a41acc5.png">=( )A. 0.6B. 0.5C. 0.4D. 0.3
题目5单选题
抛掷一枚质地均匀的骰子,所得点数的样本空间为S={1,2,3,4,5,6}.令事件A={2,3,5},事件B={1,2,4,5,6},则P(A|B)=( )A. <img src="https://tihai-oss-cloud.itihey.com/img/d81dde6b8b79560cf6110cbdda8eb45d.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/8a0c6a8f7ea64b5d536d41d75edd4db9.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/24a66969b07d5ae7dd57285ac5db702b.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/d0e195d02601ffa7762316e2294d8139.png">
题目6单选题
设A、B 为任意两个事件,则P(AB)=( )A. P(A)P(B)B. P(A)P(B|A)C. P(B)P(B|A)D. P(A)P(A|B)
题目7单选题
某厂的产品中有4%的废品,合格品中一等品的概率为75%,在该产品中任取一件是一等品的概率为( )A. 0.36B. 0.72C. 0.28D. 0.75
题目8单选题
某光学仪器厂制造的透镜,第一次落地时打破的概率为<img src="https://tihai-oss-cloud.itihey.com/img/db49eec64a8074e720cde8c1866a92ba.png">.若第一次落地时未打破,那么第二次落地时打破的概率为<img src="https://tihai-oss-cloud.itihey.com/img/06bcdcff3ae7fc71e36298d4be7b2d1c.png">.若前两次落地未打破,那么第三次落地时打破的概率为<img src="https://tihai-oss-cloud.itihey.com/img/8baca266c0222fd52960bbe3af6d5780.png">,则透镜落地三次而未打破的概率为( )A. <img src="https://tihai-oss-cloud.itihey.com/img/50f3663c4831191722c9f87d3eb7fedb.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/c8c253fc9f5bc954648e8a6e813d054c.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/ab1c49fb4b6662928542094bff5ac472.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/f9dac4782ec7a62c21e13448a47694a5.png">
题目9判断题
条件概率不一定具有非负性,规范性和可列可加性A. 正确B. 错误
题目10判断题
设A,B为随机事件,已知 P(A)=0.4,<img src="https://tihai-oss-cloud.itihey.com/img/40417a5dbfc7cf724f2726e927f021cb.png">,则P(A∪B)=0.64A. 正确B. 错误
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