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Girl students constitute 10% of I year and 5% of II year at Roorkee university. During summer holidays 70 % of the I year and 30 % of II year students are given a project that the girls take turns on duty in canteen. The chance that I year girl student is on duty in a randomly selected day is

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3/17

14/17

3/10

7/10

answer is B.

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Detailed Solution

The desired probability
$= \frac{\frac{10}{100} \times \frac{70}{100}}{\frac{10}{100} \times \frac{70}{100} + \frac{5}{100} \times \frac{30}{100}} = \frac{14}{17}$

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