The probabilities that a student passes in Mathematics, Physics and Chemistry…

GATE · 2015 · CS · Set 1 · General Aptitude

The probabilities that a student passes in Mathematics, Physics and Chemistry are m, p and c 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 m, p and c:

(I) p + m + c = 27/20
(II) p + m + c = 13/20
(III) (p) × (m) × (c) = 1/10 

  1. A.

    Only relation 1 is true

  2. B.

    Only relation 2 is true

  3. C.

    Relations 2 and 3 are true

  4. D.

    Relations 1 and 3 are true

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