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GATE 2021 MN – Question 58

Mineral Economics, Mine Planning, Systems Engineering · Systems Engineering · 2 marks · Numerical answer

Of 25 roof-bolter operators, 13 were injured and 12 not injured. Of 107 loader operators, 35 were injured and 72 not injured. Find injury odds ratio for roof-bolter versus loader operators, to two decimals.

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Correct answer: 2.20 to 2.30

Explanation

Injury odds are 13/12 for roof-bolter operators and 35/72 for loader operators. The ratio is(13/12)/(35/72)=13×72/(12×35)=2.22857, or 2.23. This compares odds, not the risks 13/25 and 35/107.

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