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In a Hostel, 60% of the Students Read Hindi Newspaper, 40% Read English Newspaper and 20% Read Both Hindi and English News Papers. a Student is Selected at Random. Find the Probability that She Reads Neither Hindi Nor English News Papers. - CBSE (Science) Class 12 - Mathematics

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Question

In a hostel, 60% of the students read Hindi newspaper, 40% read English newspaper and 20% read both Hindi and English news papers. A student is selected at random. 

Find the probability that she reads neither Hindi nor English news papers.

Solution

Let H denote the students who read Hindi newspaper and E denote the students who read English newspaper.

It is given that,

Probability that a student reads Hindi or English newspaper is,

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Solution In a Hostel, 60% of the Students Read Hindi Newspaper, 40% Read English Newspaper and 20% Read Both Hindi and English News Papers. a Student is Selected at Random. Find the Probability that She Reads Neither Hindi Nor English News Papers. Concept: Properties of Conditional Probability.
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