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In a given finance lecture, 30% of the students are finance majors, an

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In a given finance lecture, 30% of the students are finance majors, and 40% of the students are female. The gender distribution for finance majors and non-finance majors is the same. If one student is called on at random, what is the probability that the student is neither female nor a finance major?

A. 70%
B. 60%
C. 58%
D. 42%
E. 30%
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In a given finance lecture, 30% of the students are finance majors, an [#permalink]

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Ratio of male to female to total= 6:4:10

Total non-finance students= 100-30=70

Since the gender distribution is same. i.e.: 6:4

Male:female of non- finance students = 42:28

Probability = 42/100= 42%

D


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Re: In a given finance lecture, 30% of the students are finance majors, an [#permalink]

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duahsolo wrote:
In a given finance lecture, 30% of the students are finance majors, and 40% of the students are female. The gender distribution for finance majors and non-finance majors is the same. If one student is called on at random, what is the probability that the student is neither female nor a finance major?

A. 70%
B. 60%
C. 58%
D. 42%
E. 30%


Let no of attendees be 100

Finance = 30 ; Non Finance = 70
Females = 40 ; Males = 60

Quote:
The gender distribution for finance majors and non-finance majors is the same.


Total Attendees = Finance Majors + Non Finance Majors

Since, Ratio of Male : Females ( For finance majors and non-finance majors ) is the same , ratio of Males : Females to the total population will also be same...

Quote:
what is the probability that the student is neither female nor a finance major?


= 60 ( Males ) * 70 ( Non Finance ) /100

= 42%

Hence, answer will be (D)

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Re: In a given finance lecture, 30% of the students are finance majors, an [#permalink]

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New post 01 Aug 2017, 01:14
Ratio of male to female for both finance and non finance majors are equal which is 6:4.
Now if 100 is total attendees then 100-30=70 are non finance students.
From the above ratio 6/10*70=42 are non female and non finance students.
So the probability given by 42/100=42%.
Option D.

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Re: In a given finance lecture, 30% of the students are finance majors, an   [#permalink] 01 Aug 2017, 01:14
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