万雪15
春芽
共回答了10个问题采纳率:100% 举报
(I)记抽到的卡片标号为(x,y),所有的情况分别为:
(1,1),(1,2),(1,3),(1,4),(2,1),(2,2),(2,3),(2,4),(3,1),(3,2),
(3,3),(3,4),,(4,1) ,(4,2) ,(4,3) ,(4,4)共16种.…………………
![](https://img.yulucn.com/upload/c/b9/cb934a1d7094cef5a52baca48697e0df_thumb.jpg)
………1分
∴
![](https://img.yulucn.com/upload/b/9a/b9a0df658263d1ace9cc65b04deddd47_thumb.jpg)
取值的所有情况为:
![](https://img.yulucn.com/upload/0/a7/0a7c6f51926362e9c8c0f697f1caf6bb_thumb.jpg)
,
![](https://img.yulucn.com/upload/5/66/5660f5bedcdf9f629c8a53ba43441b79_thumb.jpg)
,1,
![](https://img.yulucn.com/upload/5/66/5660f5bedcdf9f629c8a53ba43441b79_thumb.jpg)
,
![](https://img.yulucn.com/upload/5/66/5660f5bedcdf9f629c8a53ba43441b79_thumb.jpg)
,2,1,0,1,
![](https://img.yulucn.com/upload/0/a7/0a7c6f51926362e9c8c0f697f1caf6bb_thumb.jpg)
,
![](https://img.yulucn.com/upload/5/66/5660f5bedcdf9f629c8a53ba43441b79_thumb.jpg)
,1,
![](https://img.yulucn.com/upload/5/66/5660f5bedcdf9f629c8a53ba43441b79_thumb.jpg)
,2
![](https://img.yulucn.com/upload/5/66/5660f5bedcdf9f629c8a53ba43441b79_thumb.jpg)
,
![](https://img.yulucn.com/upload/0/a7/0a7c6f51926362e9c8c0f697f1caf6bb_thumb.jpg)
,2,
共16种.…………4分
设事件A为“
![](https://img.yulucn.com/upload/b/9a/b9a0df658263d1ace9cc65b04deddd47_thumb.jpg)
=
![](https://img.yulucn.com/upload/0/a7/0a7c6f51926362e9c8c0f697f1caf6bb_thumb.jpg)
”,则满足事件A的(x,y)有(1,1),(3,1),(4,2),(
![](https://img.yulucn.com/upload/d/69/d69f0f56ecd1f0b7dab01dcd9d35f20f_thumb.jpg)
4,4)四种情况,
∴
![](https://img.yulucn.com/upload/b/23/b23c3f70aead3964e376fc5cc7ce1be1_thumb.jpg)
……………………………………………………6分
(II)设事件B为“点M满足“
![](https://img.yulucn.com/upload/9/a0/9a09f7d90e018e48e9fc19b103f09f67_thumb.jpg)
”,
则其对立事件
![](https://img.yulucn.com/upload/5/71/57117ca3873f64260a0969def7ec53b6_thumb.jpg)
为“点M满足“
![](https://img.yulucn.com/upload/d/c6/dc6c7fd7e3dc522ba750397d593512d3_thumb.jpg)
”,
若
![](https://img.yulucn.com/upload/3/1a/31a1eb6d974c2d00b411de222d235a9d_thumb.jpg)
则其所表示的区域面积为
![](https://img.yulucn.com/upload/0/35/035d22bcf8e68ee3f44fce5311985358_thumb.jpg)
…………9分
事件
![](https://img.yulucn.com/upload/5/71/57117ca3873f64260a0969def7ec53b6_thumb.jpg)
为
即如图所示的阴影部分,………10分
![](https://img.yulucn.com/upload/8/0e/80e860fd3b6ec79ad9fb4272af8021f7_thumb.jpg)
…………12分
略
1年前
8