David Mashley teaches two undergraduate statistics courses a

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David Mashley teaches two undergraduate statistics courses at Kansas College.The class for Statistics 201 consists of 7 sophomores and 3 juniors.The more advanced course,Statistics 301,has 2 sophomores and 8 juniors enrolled.As an example of a business sampling technique,professor Mashley randomly selects,from the stack of Statistics 201 registration card,the class card of one student and then places that card back in the stack.If that student was a sophomore,Mashley draws another card from the Statistics 201 stack; if not,he randomly draws a card from the statistics 301 group.Are these two draws independent events?What is the probability of:
a) A junior's name on the first draw?
b) A junior's name on the second draw,given that a sophomore's name was drawn first?
c) A junior's name on the second draw,given that a junior's name was drawn first?
d) A sophomore's name on the both draws?
e) A junior's name on the both draws?
f) One sophomore's name and one junior's name on the two draws,regardless of order drawn?

a) 3/(3+7)=3/10
b)junior's name on the second draw : 7/10×3/10+3/10×8/10=9/20
junior's name on the second draw and a sophomore's name was drawn first:7/10×3/10=21/100
(21/100)/(9/20)=7/15
c) junior's name on the second draw : 7/10×3/10+3/10×8/10=9/20
A junior's name on the second draw and a junior's name was drawn first: 3/10×8/10=6/25
(6/25)/(9/20)=8/15
d)7/10×7/10=49/100
e) 3/10×8/10=6/25
f) 7/10×3/10+3/10×2/10=27/100
PS:楼上的你given 没有翻译.而且是大二生不是高中生.

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