Girl students constitute 10 \% of I year and 5 \% of II year at...

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. The girls take turns on duty in canteen. The chance that I year girl student is on duty in a randomly selected day is

Options

A $\frac{3}{17}$
B $\frac{14}{17}$
C $\frac{3}{10}$
D $\frac{7}{10}$

Correct answer

B. $\frac{14}{17}$

Step-by-step 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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