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The retirement plan for a company allows employees to invest [#permalink]

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21 Feb 2012, 08:51

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The retirement plan for a company allows employees to invest in 10 different mutual funds. Six of the 10 funds grew by at least 10% over the last year. If Sam randomly selected 4 of the 10 funds, what is the probability that 3 of Sam’s 4 funds grew by at least 10% over last year?

The retirement plan for a company allows employees to invest in 10 different mutual funds. Six of the 10 funds grew by at least 10% over the last year. If Sam randomly selected 4 of the 10 funds, what is the probability that 3 of Sam’s 4 funds grew by at least 10% over last year?

OA later and I would to know how you attach this problem and if is simple or quite difficult.

Thanks GMATClub

\(\frac{C^3_6*C^1_4}{C^4_{10}}\), where \(C^3_6\) is ways to select 3 funds which grew by at least 10% over the last year out of 6 such funds, \(C^1_4\) is ways to select 1 other fund from 4 and \(C^4_{10}\) is total ways to select 4 funds out of 10.

The retirement plan for a company allows employees to invest [#permalink]

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22 May 2013, 06:50

The retirement plan for a company allows employees to invest in 10 different mutual funds. Six of the 10 funds grew by at least 10% over the last year. If Sam randomly selected 4 of the 10 funds, what is the probability that 3 of Sam's 4 funds grew by at least 10% over last year?

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The retirement plan for a company allows employees to invest in 10 different mutual funds. Six of the 10 funds grew by at least 10% over the last year. If Sam randomly selected 4 of the 10 funds, what is the probability that 3 of Sam's 4 funds grew by at least 10% over last year?

Re: The retirement plan for a company allows employees to invest [#permalink]

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22 May 2013, 09:39

I know this is a somewhat silly question but I need a confirmation on that

As for options (C) and (D), is it possible to combine a combination and permutation in one question? At first sight I would exclude them because I guess, it would not be logical to solve for a comb and perm. at the same time.

If this is not the case, would you please give examples of when would this be possible?
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Re: The retirement plan for a company allows employees to invest [#permalink]

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28 May 2016, 11:49

say that the problem stated "what is the probability that at least 3 of Sam’s 4 funds grew by at least 10% over last year?" Would we have Answer b + 6C4/ 10C4?
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Re: The retirement plan for a company allows employees to invest [#permalink]

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07 Jun 2016, 02:32

sony1000 wrote:

say that the problem stated "what is the probability that at least 3 of Sam’s 4 funds grew by at least 10% over last year?" Would we have Answer b + 6C4/ 10C4?

I am not sure and would welcome someone's professional opinion. Anyway, my guess would be:

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