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Choose the correct option for the following:
In a survey of 400 students, 160 liked mathematics and the rest disliked it. Find the probability that a student chosen at random likes mathematics.

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\frac{6}{5}

\frac{2}{5}

\frac{3}{5}

\frac{1}{5}

answer is C.

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Detailed Solution

Given, in a survey of 400 students, 160 liked mathematics and the rest disliked it

Here, the total number of students = 400

number of students who liked mathematics = 160

Then the probability that a student is chosen at random like in mathematics $= \frac{n u m b e r o f s t u d e n t s w h o l i k e d m a t h e m a t i c s}{t o t a l n u m b e r o f s t u d e n t s}$

The probability that a student is chosen at random like in mathematics $= \frac{160}{400} = \frac{2}{5}$

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