(Answered) The probabilities that a student passes in mathematics

Statistics

The probabilities that a student passes in Mathematics, Physics and Chemistry are m, p and c respectively. Of these subjects, the student has a 75% chance of passing in at least one, a 50% chance of passing in at least two and 40% chance of passing in exactly two. Which of the following relations are true?

(a) p + m + c =19/20
(b) p + m + c =27/20
(c) pmc =1/10
(d) pms =1/4

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