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The probability that a student selected at random from a class will pass in Hindi is 4/5 and the probability that he passes in Hindi and English is 1/2 . What is the probability that he will pass in English if it is known that he has passed in Hindi ?

In a hostel 60% of the students read Hindi news paper, 40% read English news paper and 20% read both Hindi and English news papers. A student is selected at random. (a) Find the probability that she reads neither Hindi nor English news papers. (b) If she reads Hindi news paper, find the probability that she reads English news paper. (c) If she reads English news paper, find the probability that she reads Hindi news paper.

The report of one survey of 100 students stated that the numbers studying the various languages were : Sanskrit, Hindi and Tamil, 5, Hindi and Sanskrit, 10, Tamil and Sanskrit, 8, Hindi and Tamil, 20, Sanskrit 30, Hindi 23, Tamil 50. The surveyor who prepared the report was fired. Why ?

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