Latest TCS Aptitude Question SOLUTION: Among a group of 2500 people, 35 percent invest in municipal bonds, 18 percent invest in oil stocks, and 7 percent invest in both municipal bonds and oil stocks. If 1 person is to

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Among a group of 2500 people, 35 percent invest in municipal bonds, 18 percent invest in oil stocks, and 7 percent invest in both municipal bonds and oil stocks. If 1 person is to be randomly selected from 2500 people, what is the probability that the person selected will be one who invests in municipal bonds but not in oil stocks

Asked In TCS krishnaprasad TATA (11 years ago)

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Vignesh  (11 years ago)

7/25 is the probability.

35 percent invests in municipal bonds.
It also includes 7% who invested in both municipal bonds and oil stocks.

So, 35-7 = 28% invests in municipal bonds but not in oil stocks

Therefore, probability = 28/100 = 7/25

7/25 is probability of person only invest in municipal bonds.

Is this solution Helpfull? Yes (37) | No (2)  

venkat  (11 years ago)

total no.of people = 2500
municipal bonds = 2500*35/100 = 875
oil stocks = 2500*18/100 = 450
municipal bonds and oil stocks(both) = 2500*7/100 = 175

We need only person who invests in municipal bonds
i.e., municipal bonds - both(X) = 875-175 = 700
The probability is = X/total = 700/2500 = 7/25

Is this solution Helpfull? Yes (31) | No   

surbhi  (11 years ago)

investor in municipal =35*2500/100=875
so probability = 875/2500=0.35
investor in both= 7*2500/100= 175
so probability= 175/2500=0.07
hence for municipal only = .35-.07=.28

Is this solution Helpfull? Yes (7) | No (2)  

chandu161  (11 years ago)

total people = 2500

35% on n(m)= 35/100 * 2500 = 875 municipal bonds.

7% on n(m intersection o) = 7/100 * 2500 = 175 both.

we need only municipals = (875 - 175) = 600.

the propability, N(E)/N(S) = 600/2500 = 6/25 ..

Is this solution Helpfull? Yes (2) | No (13)  

rajni singla  (11 years ago)

0.42 ans
35% of 2500 is 875
7% of 2500 is 175
18% of 2500 is 450
acc. to rule 1050/2500=0.42

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