Three letters are selected from the 9 letters of the word CAMERAMAN. 从 CAMERAMAN 一词的 9 个字母中选择三个字母。
(iv)Find the number of different selections if the three letters include exactly one MM and exactly one A . (iv)如果三个字母恰好 MM 包含一个 A ,则找到不同选择的数量。 qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad
(v)Find the number of different selections if the three letters include at least one M. (v)如果三个字母至少包含一个 M,请查找不同选择的数量。 qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad
5 In a group of students,the numbers of boys and girls studying Art,Music and Drama are given in the following table.Each of these 160 students is studying exactly one of these subjects. 5 在一组学生中,学习艺术、音乐和戏剧的男生和女生人数如下表所示。这 160 名学生中的每一位都在学习其中一门科目。
Art 艺术
Music 音乐
Drama 戏剧
Boys 男孩
24
40
32
Girls 女孩
15
12
37
Art Music Drama
Boys 24 40 32
Girls 15 12 37| | Art | Music | Drama |
| :--- | :---: | :---: | :---: |
| Boys | 24 | 40 | 32 |
| Girls | 15 | 12 | 37 |
(i)Find the probability that a randomly chosen student is studying Music. (i)求随机选择的学生学习音乐的概率。 qquad\qquad qquad\qquad qquad\qquad
(ii)Determine whether the events'a randomly chosen student is a boy'and'a randomly chosen student is studying Music'are independent,justifying your answer. (ii)确定“随机选择的学生是男孩”和“随机选择的学生正在学习音乐”这两个事件是否独立,证明您的答案是合理的。 qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad
(iii)Find the probability that a randomly chosen student is not studying Drama,given that the student is a girl. (iii)求随机选择的学生不学习戏剧的概率,假设该学生是女生。 qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad