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$400$ students of class $X$ of a school appeared in a test of $100$ marks in the subject of social studies and the data about the marks secured is as below:

If the result card of a student he picked up at random, what is the probability that the student has secured more than $50$ marks.

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0.586

0.75

0.325

0.1

answer is C.

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Detailed Solution

Given,
Total number of students, i.e , the total frequency

n (S) = 400

The total number of students who secured more than

50

marks is

n (E) = 100 + 30

\Rightarrow 130

Probability that the marks secured are more than

50

P(E);

P (E) = \frac{n (E)}{n (S)}

\Rightarrow \frac{130}{400}

\Rightarrow

\frac{1.3}{4}

\Rightarrow

0.325

Therefore, option (3) is correct.

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