Latest TCS Aptitude Question SOLUTION: The retirement plan for a company allows employees to invest in 10 different mutual funds. Six of the10 funds grew by at least 10% over the last year. If Sam randomly selected 4 of

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The retirement plan for a company allows employees to invest in 10 different mutual funds. Six of the10 funds grew by at least 10% over the last year. If Sam randomly selected 4 of the 10 funds, what is the probability that at least 3 of Sam’s 4 funds grew by at least 10% over the last year?

Asked In TCS Garima (11 years ago)

Solved chaitanya Read Solution (2)

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chaitanya  (11 years ago)

There are 6 winning funds that grew more than 10%, and 4 losing funds that grew less than 10%.The problem can be split into 3 sub-problems:

1)Sam has to choose 3 winning funds.
This can be done in 6C3 ways.

2)Sam has to choose 1 losing fund.
This can be done in 4C1 ways.

Or
3)Sam has to choose all 4 funds to be winning funds.
This can be done in 6C4 ways.

This is how Sam chooses at least 3 winning funds.Hence, the total number of ways of choosing at least 3 winning funds is 6C3 x 4C1 + 6C4.

If there were no restrictions (such as choosing at least 3 winning funds), Sam would have chosen funds in 10C4 ways.

Hence, the probability that at least 3 of Sam’s 4 funds grew by at least 10% over the last year is

(6C3 x 4C1 + 6C4)/10C4

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varma  (11 years ago)

The probability that at least 3 of Sam’s 4 funds grew by at least 10% over the last year is ----> (6C3 x 4C1 + 6C4)/10C4

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