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A laboratory blood test is 99% effective...

A laboratory blood test is 99% effective in detecting a certain disease when it is in fact, present. However, the test also yields a false positive result for 0.5% of the healthy person tested (i.e. if a healthy person is tested, then, with proba

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`(22)/(133)`.
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A test for detection of a particular disease is not fool proof. The test will correctly detect the disease 90% of the time, but will incorrectly detect the disease 1% of the time. For a large population of which an estimated 0.2% have the disease, a person is selected at random, given the test, and tod that he has the disease. What are the chances that the person actually have the disease?

MODERN PUBLICATION-PROBABILITY-EXERCISE 13 (d) (LATQ)
  1. As man is known to speak truth 3 out of 4 times. He throws a die and ...

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  2. Three bags contain : (i) 4 red and 4 black, 2 red and 6 black balls ...

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  3. (i) Bag I contains 3 red and 4 black balls while another bag II contai...

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

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  5. (a) (i) Bag I contains 5 red and 3 black balls, Bag II contains 6 red ...

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  6. Given three identical boxes I, II and III, each containing two coins. ...

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  7. In a tape recorder factory three machines A, B and C produced 50%, 30%...

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  8. A company has two plants to manufacture scooters. Plant I manufactures...

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  9. An insurance company insured 2000 scooter drivers, 4000 car drivers...

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  10. A doctor is to visit a patient. From the past experience, it is known ...

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  11. (i) A man is known to speak the truth 3 out of 4 times. He throws a di...

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  12. A bag contains 4 balls. Two balls are drawn at random, and are foun...

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

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  14. A laboratory blood test is 99% effective in detecting a certain dis...

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

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  16. There are three coins. One is a two headed coin (having head on both ...

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  17. In a certain college, 4% of boys and 1% of girls are taller than 1....

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  18. Bag I contains 2 white, 1 black and 3 red balls, Bag II contains 3 whi...

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  19. (i) Coloured balls are distributed in three bags as shown in the follo...

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  20. The members of a consulting firm rent cars from three rental agencies ...

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