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A factory has two machines X and Y .X pr...

A factory has two machines X and Y .X produces 70% and Y produces 30% of the items of which items produced by X have 5% defective items and items produced by Y have 8% defective. An item is drawn at random for the product and is found to be defective. Find the probability that it was produced by Machine Y.

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The correct Answer is:
`(24)/(59)`
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PREMIERS PUBLISHERS-INTRODUCTION TO PROBABILITY THEORY-PROBLEMS FOR PRACTICE (Choose the correct option for the following)
  1. A factory has two machines X and Y .X produces 70% and Y produces 30% ...

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  2. Two items are chosen a lot containing 10 items of which 3 are defectiv...

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  3. If A and B are two events such that P((A)/(B))=(1)/(3),P((B)/(A))=(1)/...

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  4. If A and B are two events such that P(barA)=(3)/(4),P((A)/(B))=(1)/(2)...

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  5. The probability two events A and B are 0.2 and 0.5 respectively. The p...

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  6. There are three events A, B and C of which one and only one can happpe...

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  7. A matrix is chosen at random from a set of all matrices of order 2 , w...

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  8. An urn contains 5 red and 5 black balls. A ball is drawn at random, it...

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  9. A number is selected from the set {2,3,…,30}. The probability that the...

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  10. Six coins are tossed simultaneously. Then the probability of getting a...

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  11. If for two events A and B, p(a)=(2)/(5) and P(b)=(3)/(4) and A cupB=S(...

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  12. Find the incorrect statement:

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  13. Find the incorrect statement:

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  14. The following are the probability of two mutually exclusive events A a...

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  15. The following are the probability of an event A. Find odd man out

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  16. Find the correct statement:

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  17. The following are the probability of an event A. Find odd man out

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  18. Find the incorrect statement:

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  19. In a factory two machines A and B produce equal amount of output. On t...

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  20. Let A and B are two events such that P(bar(AcupB))=(1)/(6),P(AcapB)=(1...

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  21. When a pair of balanced dice are rolled .What are the probability of ...

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