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Of the students in a college, it is know...

Of the students in a college, it is known that 60% reside in hostel and 40% are day scholars (not residing in hostel). Previous year results report that 30% of all students who reside in hostel attain A grade and 20% of day scholars attain A grade in their annual examination. At the end of the year, one student is chosen at random from the college and he has an A grade, what is the probability that the student is a hostlier?

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40% students of a college reside in hostel and the remaining reside outside. At the end of the year, 50% of the hostlers got A grade while from outside students, 30% got A grade in the examination. At the end of the year, a student of the college was chosen at random and was found to have gotten A grade. What is the probability that the selected student was a hostler ?

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PSEB-PROBABILITY-Exercise
  1. An urn contains 5 red and 5 black balls. A ball is drawn at random, it...

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  2. A bag contains 4 red and 4 black balls, another bag contains 2 red and...

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  3. Of the students in a college, it is known that 60% reside in hostel an...

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  4. In answering a question in a multiple choice test a student either kno...

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  5. A laboratory blood test is 99% effective in detecting a certain diseas...

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  6. There see three coins,one is a two headed coin (having head on both th...

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  7. An insurance company insured 2000 scooter drivers, 4000 car drivers an...

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  8. A factory has two machines A and B. Past record shows that machine A p...

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  9. Two groups are competing for the position on the Board of directors of...

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  10. Suppose a girl throws a die. If she gets a 5 or 6, she tosses a coin t...

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  11. A manufacturer has three machine operators A, B and C. The first opera...

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  12. A card from a pack of 52 cards is lost. From the remaining cards of th...

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  13. Probability that A speaks truth is 4/5. A coin is tossed. A reports t...

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  14. If A and B are two events such that AsubB and P(B) ne 0, then which of...

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  15. An urn contains 5 red and 2 black balls. Two balls are randomly drawn....

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  16. Let X represent the difference between the number of heads and the num...

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  17. Find the probability distribution of number of heads in two tosses of ...

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  18. Find the probability distribution of number of tails in the simultaneo...

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  19. Find the probability distribution of number of heads in four tosses of...

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  20. Find the probability distribution of the number of successes in two to...

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