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GATE EE 2015 Set 1 — Question 9

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MCQ+2 / -0.67MediumProbabilityEngineering Mathematics

Engineering Mathematics → Probability

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Question

The probabilities that a student passes in Mathematics, Physics and Chemistry are mm, pp, and cc respectively. Of these subjects, the student has 75% chance of passing in at least one, a 50% chance of passing in at least two and a 40% chance of passing in exactly two. Following relations are drawn in mm, pp, cc:
(I) p+m+c=27/20p + m + c = 27/20
(II) p+m+c=13/20p + m + c = 13/20
(III) (p)×(m)×(c)=1/10(p) \times (m) \times (c) = 1/10
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