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)
_________________

Thanks and Regards

Abhishek....

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