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If a machine is correctly set up, it produces 90% acceptable items. If it is incorrectly set up, it produces only 40% acceptable items. Past experience shows that 80% of the set ups are correctly done. If after a certain set up, the machine produces 2 acceptable items, find the probability that the machine is correctly set up.

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NCERT TAMIL-PROBABILITY-MISCELLANEOUS EXERCISE ON CHAPTER 13
  1. If a machine is correctly set up, it produces 90% acceptable items. If...

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  2. A and B are two events such that P(A) ne 0. Find P(B/A) if (i) A is a ...

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  3. A couple has two children. Find the probability that both children are...

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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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  5. Suppose that 90% of people are right- handed. What is the probability ...

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  6. An urn contains 25 balls of which I0 balls bear a mark 'X' and remaini...

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  7. In a hurdle race, a player has to cross 10 hurdles. The probability th...

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  8. A die is thrown again and again until three sixes are obtained. Find t...

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  9. If a leap year is selected at random, what is the chance that it will ...

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  10. An experiment succeeds twice as often as it fails. Find the probabilit...

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  11. How many times must a man toss a fair coin so that the probability of ...

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  12. In a game, a man wins a rupee for a six and loses a rupee for any othe...

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  13. Suppose we have four boxes A, B, C and D containing coloured marbles a...

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  14. Assume that the chances of a patient having a heart attack is 40%. It ...

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  15. If each element of a second order determinant is either zero or one, w...

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  16. An electronic assembly consists of two sub-systems, say, A and B. From...

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  17. Bag I contains 3 red and 4 black balls and Bag II contains 4 red and 5...

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  18. Choose the correct answer: If A and B are two events such that P(A) ...

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  19. Choose the correct answer: If P(A|B) gt P(A), then which of the foll...

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  20. Choose the correct answer: If A and B are any two events such that P...

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