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Intersection of Sets

The Gurgaon o...

Question

The Gurgaon office of Microsoft has 1500 executives. Of these 900 subscribe to the Hindustan Times and 750 subscribe to The Hindu. 150 subscribe to both Hindustan Times and The Hindu. If an executive is picked at random, what is the probability that he has subscribed to Hindustan Times?

A

\frac{2}{5}

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B

\frac{3}{5}

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C

\frac{4}{5}

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D

\frac{1}{5}

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Solution

The correct option is B $\frac{3}{5}$
The Gurgaon office of Microsoft has 1500 executives. Of these 900 subscribe to the Hindustan Times and 750 subscribe to The Hindu. 150 subscribe to both Hindustan Times and The Hindu. If an executive is picked at random, the probability that he has subscribed to Hindustan Times $P (E) = \frac{s u b s c r i b e_{h i n d u s t a n}}{t o t a l . e x e c u t i v e} = \frac{900}{1500} = \frac{3}{5}$

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