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There are 50 students admitted to a nursery class. Some students can speak only English and some can speak only Hindi. Ten students can speak both English and Hindi. If the number of students who can speak English is 21, then how many students can speak Hindi, how many can speak only Hindi and how many can speak only English?

In a class, 30% students study English, 15% study Hindi and 10% study both English and Hindi. One student is selected at random. Find the probability that (i) He studies English if it known that he Hindi (ii) He studies Hindi if it is known that he studies English

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In a class, 30% students fail in English, 20% students fail in Hindi and 10% students fail in both English and Hindi. A student is chosen at random, then what is the probability he fail in English, if he has failed in Hindi?

(i) In a group of 50 people , 35 speak Hindi , 25 speak both English and Hindi and all people speak atleast one of the two languages . How may people speak only English and not Hindi ? How many people speak English? (ii) In a group of people , 50 speak both English and Hindi and 30 people speak English but not Hindi All the people speak at least one of the two languages . How many people speak English ?

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