The above pie chart depicts the percentage of students being girls and boys in the mechanical branch of NIT Trichy college. If the red coloured portion represents the boys percentage and the total number of students be 100 then what is the probability of a student being picked at random being a girl?

$\frac{1}{25}$

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$\frac{25}{99}$

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$\frac{1}{4}$

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$\frac{1}{8}$

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Solution

The correct option is C
$\frac{1}{4}$

Total number of students = 100

Percentage being girls = 25%

Number of girls = $25 \times \frac{100}{100}$

So probability of picking a girl = $\frac{t o t a l n u m b e r o f f a v o u r a b l e o u t c o m e s}{t o t a l n u m b e r o f o u t c o m e s}$ = $\frac{25}{100}$ = $\frac{1}{4}$

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The correct option is C 14 Total number of students = 100 Percentage being girls = 25% Number of girls = 25×100100 So probability of picking a girl =total number of favourable outcomestotal number of outcomes = 25100 = 14