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40% students of a college reside in host...

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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The correct Answer is:
`(10)/(19)`
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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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ACCURATE PUBLICATION-PROBABILITY -Questions Carrying Type - 4 marks
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  3. 40% students of a college reside in hostel and the remaining reside ou...

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  4. Suppose that 5% of men and 0.25% of women have grey hair. A grey haire...

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  8. A man is known to speak the truth 4 times out of 5 times. He throws a ...

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

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  10. In a factory which manufactures bolts, machines A, B and C manufacture...

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

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  12. In a group of 400 people, 160 are smokers and non-vegetarian, 100 are ...

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  13. A random variable X has the following probability distribution: D...

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  14. Two cards are drawn successively with replacement from a well-shuffled...

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  15. A urn contains 4 white and 6 red balls. Four balls are drawn at random...

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  16. From a lot of 10 bulbs which include 3 defectives, a sample of 2 bulbs...

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  17. Find the probability distribution of number of doublets in three throw...

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  18. In a group of 30 scientists working on an experiment, 20 never commit ...

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  19. Find the probability distribution of number of doublets in three throw...

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  20. Two cards are drawn successively with repalcement from a well-shuffled...

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