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According to a recent student poll, 5/7 out of 21 members of the finance club are interested in a career in investment

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According to a recent student poll, 5/7 out of 21 members of the finance club are interested in a career in investment

by Gmat_mission » Thu Aug 27, 2020 7:56 am

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According to a recent student poll, 5/7 out of 21 members of the finance club are interested in a career in investment banking. If two students are chosen at random, what is the probability that at least one of them is interested in investment banking?

A. 1/14
B. 4/49
C. 2/7
D. 45/49
E. 13/14

Answer: E

Source: Veritas Prep
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Re: According to a recent student poll, 5/7 out of 21 members of the finance club are interested in a career in investme

by dg1900 » Thu Aug 27, 2020 9:22 am
Proportion of students interseted in Investment Banking = 5/7
Proportion of students not interested in Investment Banking = 2/7

2 students are selected at random.
We need to find the probability that at least 1 of the students selected should be interested in investment banking.
P(X>=1)=1-P(X=0)
So to find the probability of atleast 1 student being interested we take 1 - P(None intersted).
P(None interested)= 2/7 * 2/7 = 4/49
Therefore, P(Atleast 1 interested) = 1 - 4/49 = 45/49
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